Tuesday
May 26, 2015

Posts by Reiny


Total # Posts: 30,055

ALGEBRA
part at 4% --- x part at 5% --- 7500-x .04x + .05(7500-x) = 325 after you multiply each term by 100 to get rid of the decimals this is an easy equation to solve. Go for it.
April 30, 2015

ALGEBRA
prob(repair) = 3/100 expected cost = (3/100)($39) = $1.17 cost of agreement = $9.00 so profit per agreement = 7.83 Percentage of profit = 7.83/9 = .87 or 87% (not bad, that is why I never buy these agreements) another way to look at it. Suppose 100 people bought the agreement ...
April 30, 2015

math
First make a sketch, here is Wolfram's version http://www.wolframalpha.com/input/?i=y+%3D+cosx+%2B+1%2Fcosx+for+-%CF%80+to+%2B%CF%80 The vertical lines are asymptotes, and thus will not yield any values. You can see that the min value is appr 2 Here is a larger picture, ...
April 30, 2015

math
1 + 4x + 4x^2 - 16x^4.. ,1 + 2x - 8x^3 - 16x^4.., 16x^4 + 4x^2 + 1 is there a significance to the .. at the end of the first term? if not, then 1 + 4x + 4x^2 - 16x^4 = (1+4x) + 4x^2(1 - 4x^2) = (1 + 4x) + 4x^2(1 - 2x)(1 + 2x) 1 + 2x - 8x^3 - 16x^4 = (1+2x) - 8x^3(1 + 2x^2) 16x...
April 30, 2015

Math
every pair of same factors must be a perfect square and any integer base raised to an even exponent must be a perfect square, so all factors are perfect square except 7^15 which is 7^14 x 7 7^14 is a perfect square, but if I multiply that by 7 it no longer is. we could write ...
April 29, 2015

Please help -_-
Sadie, there was only about 1 hour between the time you first posted this and your second posting. Have some patience, we are volunteers and don't sit here all the time just waiting for questions. In my case I might come here a few times a day, if I see questions ...
April 29, 2015

Calculus-limits
since the power of the numerator is one degree higher than that of the denominator we get y = (9x-x^2-7x^4)/(x^3+12x) = -7x + ?? so as x gets bigger, y gets bigger, so the limit is undefined, (approaches negative infinity, or we can say the limit does not exist
April 29, 2015

easy math
done, always check back before reposting
April 29, 2015

Math
Assuming he picks one topping number = 2 x 16 x 2 = 64
April 29, 2015

mathssss
I will assume you mean: (2c+5)/-5 * (2c+5)/-5 + (4c-2)/5 * (4c-2)/5 = 20 major difference from what you typed, those brackets are critical (4c^2 + 20c + 25)/25 + (16c^2 - 16c + 4)/25 = 20 20c^2 + 4c + 29 = 500 20c^2 + 4c - 471 = 0 solve using the formula
April 29, 2015

math
lw = 60 ---> l = 60/w 2l + 2w = 38 ---> l + w = 19 60/w + w = 19 times w 60 + w^2 = 19w w^2 - 19w + 60 = 0 (w-15)(w-4) = 0 w = 15 or w = 4 , then l = 4 or l = 15 the length is 15 and the width is 4
April 29, 2015

Algebra
always check back before reposting http://www.jiskha.com/display.cgi?id=1430287921
April 29, 2015

Calculus
For any point (a,b) |12a - 9b - 5| /√(144+81) = 2 12a - 9b - 5 = 30 12a - 9b = 35 Now test which ordered pair satisfies this linear equation.
April 29, 2015

algebra 2
no matter what the function f(x) ---> f(x-5) results in a horizontal translation of 5 units to the right look at the graph http://www.wolframalpha.com/input/?i=plot+y+%3D+log%28x%29+%2C+y+%3D+log%28x-5%29+for+0%3C+x%3C30
April 29, 2015

math
arc length of a circle = rØ, where Ø is in radians 5Ø = 10 Ø = 2 radians or appr 114.59°
April 29, 2015

Math
looks like experimental , and the results don't match the theoretical or mathematical probability When rolling a die, the real prob(5) = 1/6
April 29, 2015

Analytic Geometry
given: 4x+3y - 10 = 0 a) easiest way: since the new line is parallel it must look like 4x+3y + c = 0 using your distance formula from a point to a line |4(2) + 3(-1) + c|/√(4^2 + 3^2) = 3 8 - 3 + c = 15 c = 10 4x + 3y + 10 = 0 or -8 + 3 - c = 15 -c = 20 c = -20 4x + 3y...
April 29, 2015

Math
Wasn't there an "experiment" of rolling the dice 160 times? And it came up "2" 39 times So the experimental prob must be 39/160 The theoretical probability is the actual mathematics one, so the "2" is one of the 6 sides, so the experimental ...
April 29, 2015

ALGEBRA
distance = √( (4-(-2))^2 + (-5-3)^2 ) = √(36 + 64) = √100 = 10
April 29, 2015

Algebra
25000(.8)^n = 5000 .8^n = .2 take log of both sides , and using log rules n log.8 = log.2 n = log .2/log .8 = appr 7.2 years
April 29, 2015

Algebra
Choc chip -- 12 oatmeal ---- 12 no-bake ---- 12 peanut butter --12 gingerbread ---12 Sample space = C(60,6) selections of six gingerbread from 12 = C(12,6) prob = C(12,6)/(C(60,6) = .000018456
April 28, 2015

Math
Did you check if the slope between any two points is always the same ? Hint: the point (0,0) is a good point to check in the given equations. Which equation does it satisfy ?
April 28, 2015

Math
I suggest you make a table of sums for 6 rows and 6 columns from the numbers from 1 to 6 Fill in the sums, e.g. the first row and last row would be 2 3 4 5 6 7 .... 7 8 9 10 11 12 count up all the odd ones, obviously 18 of them Remember 2 is a prime number so it must be ...
April 28, 2015

Math
In the first one I think Bob forgot about the other 5 cards that have to be drawn I am going to do these by using combinations P(exactly 2 wild, 5 non-wild) = ( C(8,2) x C(100,5) / C(108,7) = .0756 or using bob's method P(exactly 2 wild, 5 non-wild = 8/108 * 7/107 * 100/...
April 28, 2015

math
make a sketch and let our point needed be (x,y) for the x: (x-(-5))/(6-x) = 2/3 3x + 15 = 12-2x 5x = -3 x = -3/5 for the y: (y+4)/(-2-y) = 2/3 3y + 12 = -4-2y 5y = -16 y = -16/5 your point is (-3/5 , -16/5) or, using vectors (x,y) = (3/5)(-5,-4) + (2/5)(6,-2) = (-3 , -12/5...
April 28, 2015

maths
2a + 2m = 5a + m so m = 3a if 3a = m and m = 2.40 3a = 2.4 a = .8 So each apple costs 80 cents, and a mango $2.40 check: 2apples + 2 mango = 1.60 + 4.80 = 6.40 5apples + 1 mango = 4.00 + 2.40 = 6.40 yes, they are equal My answer is correct
April 28, 2015

mathematics
Kayla, in your solution you defined variables but then never used them Jerry's marbles --- x Tom's marbles ---- 4x Ali's marbles ---- 4x + 36 their sum is 279 x + 4x + 4x+36 = 279 9x = 243 x = 27 Jerry has 27 marbles Tom has 108 marbles Ali has 144 marbles Tom has ...
April 28, 2015

Algebra
10t^5 + 5t^4 - 50t^3 = 0 t^3( 2t^2 + t - 10) = 0 t^3(2t+5)(t-2) = 0 t = 0 or t = -5/2 or t = 2
April 27, 2015

Algebra
well, you created the perfect square on the left, so state it , and simplify the right side (x - 3/8)^2 = -39/64 ahhh, I see the problem. How can anything squared be negative, so there is no REAL number solution. Have you studied complex numbers? If so, then x - 3/8 = ±...
April 27, 2015

Algebra
repeat the procedure I just showed you, tell me what you got.
April 27, 2015

Algebra
divide by 2 and bring constant to the right side x^2 - 3x + .... = 18 x^2 - 3x + 9/4 = 18 + 9/4 (x - 3/2)^2 = 81/4 x - 3/2 = ± 9/2 x = 3/2 ± 9/2 x = -3 or x = 6
April 27, 2015

College Algebra
You defined x as the price, but did not use it as such I will re-define x as the number of $1 increases new price = (100+x) number of rooms rented = 95-x Revenue = R(x) = (100+x)(95-x) = 9500 - 5x - x^2 R ' (x) = -5 - 2x = 0 for a max of R(x) 2x=-5 x = -2.5 I will assume ...
April 27, 2015

Calculus
the hardest part is finding the intersection of the two curves, x^2 - 1 = cosx I will let Wolfram do it: http://www.wolframalpha.com/input/?i=x%5E2+-+1+%3D+cosx Because of the symmetry we could go from 0 to 1.1765 and double the answer area = 2 ∫(cosx - x^2 + 1)dx from 0...
April 27, 2015

Math 222
Stop switching names and stick to one name only -x^2 - 3x + 5 = 0 x^2 + 3x - 5 = 0 use the quadratic formula x = (-3 ± √29)/2
April 27, 2015

The villages
I will take a giant leap of faith and assume you want it simplified, (x+3)/(x^2-2x-8)- (x-5)/(x^2-12x+32) = (x+3)/((x-4)(x+2)) - (x-5)/((x-4)(x-8)) LCD is (x-4)(x+2)(x-8) = [(x+3)(x-8) - (x-5)(x+2)]/((x-4)(x+2)(x-8) ) = ... expand the top and simplify / (x-4)(x+2)(x-8)
April 27, 2015

Algebra
Now: Dana ---- x Renee --- 2x 4 years ago: Dana = x-4 Renee = 2x-4 "Four years ago Renee was three times as old as Dana" ---> 2x-4 = 2(x-4) solve for x, very straight-forward
April 27, 2015

Math, please help
insufficient data
April 27, 2015

Math
−22.75 cos (π/6(m − 1)) + 52.55 = 48 -22.75 cos ((π/6)(m-1)) = -4.55 cos ((π/6)(m-1)) = .2 ((π/6)(m-1)) = 1.369438... or ((π/6)(m-1)) = 4.9137459.. m-1 = 2.61543.. or m-1 = 9.38456.. m = 3.615435 or m = 10.38457 adding/subtracting 2π ...
April 27, 2015

Math help!
hint: multiply each term by 6x and rearrange.
April 27, 2015

Math help!
x of the vertex is -b/(2a) -----> good formula to memorize = -(-16)/(4) = 4 f(4) = .... so now you have the vertex. easy to read off the max/min and the axis of symmetry. for x intercept let y = 0 in y = 2x^2 - 16x + 27 for y intercept let x = 0 in y = 2x^2 - 16x + 27 ...
April 27, 2015

Math help!
miles on the highway --- x miles in the city ----- 465-x gallons used on highway = x/24 gallons used in city = (465-x)/18 x/24 + (465-x)/18 = 23 multiply each term by 72 , the LCD 3x + 4(465-x) = 1656 3x + 1860 - 4x = 1656 -x=-204 x = 204 Miles on the highway were 204 check: ...
April 27, 2015

Math help!
number of dimes ---- x number of quarters -- 43-x 10x + 25(43-x) = 760 etc.
April 27, 2015

polynominals
1975 ---> x = 5 y = 5^2 + 3(5) + 2 = 42 million repeat for the other years (silly question, assumes the number of trout keeps increasing, e.g. in 2020 we would have 50^2 + 3(50)+2 or 2652 million trout)
April 27, 2015

probability
3 red 2 green 4 white 2 purple ---> total = 11 let's do the prob that she had the 3 reds number of such choices = C(3,3) x C(8,5) = 56 number of choices of 8 from 11 = C(11,8) = 165 prob(all 3 reds) = 56/165 so prob(not all the reds) = 1 - 56/165 =109/165
April 27, 2015

Math 222
Was not meant to be scarcastic, simply trying to figure out the best way to explain it, there are several ways.
April 27, 2015

Math 222
first equation: -5x + 2y = 16 subbing in y = 2x+7 ----> -5x + 2(2x+7) = 16 -5x + 4x + 14 = 16 -x = 2 x = -2 now put that back into y = 2x+7 = 2(-2) + 7 = 3 all done curious, at what grade level are you taking this?
April 27, 2015

Math 222
-5x+2y=16 y = 2x+7 Tika, Doesn't the 2nd equation tell you what the value of y is ?? Just replace the y in the 2y of the first equation with the value of y in the second. Give it a try, it is really easy. Let me know what you got.
April 27, 2015

Math
since sinØ = opposite/hypotenuse = -3/5 you should recognize the 3-4-5 right-angled triangle. You are also told the the angle (or triangle) is in the I, II, or IIIrd quadrant. But isn't sinØ negative only in III of those given? so x = -4, y= -3 thus tan&...
April 27, 2015

Math 222
solve each one separately if you want 2x-1 ≥ -3 2x ≥ -2 x ≥ -1 4x+5 ≥ -19 4x ≥ -24 x ≥ -6 but they are connect with AND, so ... x ≥ -1 AND x ≥ -6 Now thing about, what numbers are both greater than or equal to -1 AND -6 Place the...
April 27, 2015

MATH
This question makes little sense to me. Are the times given based on how long each one could row the boat? Why would you let Dale row for 10 minutes, if Abby ran do it it 1 minute? Anyway, taking your data at "face-value" .... A=1 B=2 C=5 D=10 I would use A for all ...
April 27, 2015

Math 222
rate charged by first mechanic --- x rate charged by second mechanic -- y "sum of their rates is 165" ---> x+y = 165 "first mechanic worked 10 hours" ---> 10x "the second mechanic worked 5 hours" --- 5y "Together they both charged a ...
April 27, 2015

Math 222
-2x + 9y = 3 -3x - 4y = 22 first equation times 3 -6x + 27y = 9 second equation times -2 6x + 8y = -44 add the new equations: 35y = -35 y = -1 sub back into original -2x + 9y = 3 -2x - 9 = 3 -2x = 12 x = -6 x= -6 , y = -1 of course you should realize that there are many other ...
April 27, 2015

Math 222
Both our last two replies posted at the same time. NO, both numbers are NOT 12 Look at your question, it said one is 23 less than the other, how can they be both 12 ? This is why definitions of your variable are so important. I defined by smaller as x, so it is 12 I defined by...
April 27, 2015

Math 222
yes, that would be one of the answers, remember it asked for two answers. You should verify your answers against the original conditions to eliminate any doubt
April 27, 2015

Math 222
smaller number --- x larger number ----- x+23 x + x+23 = 47 easy to solve....
April 27, 2015

math
How did you decide it was B ?
April 27, 2015

Statistics PLEASE HELP
prob(both defective) = (2/8)(1/7) = 1/28 prob(at least one good) = 1 - 1/28 = 27/28
April 27, 2015

math
True , the surface area of similar objects is proportional to the square of the sides (1/2)^2 = 1/4
April 26, 2015

Math
multiply each term by 3 3y + 9 = x x - 3y - 9 = 0
April 26, 2015

calculus check
correct
April 26, 2015

Calculus
how about L'Hopital's Rule limit = 7/( (1/2)(x+4)^-(1/2) ) = 14(√(x+4) = 14(2) as x---> 0 = 28
April 26, 2015

Calculus
number ' (t) = 100e^t + 75t number (t) = 100e^t + (75/2)t^2 + c assuming at opening (t=0) no people were in the zoo, 0 = 100e^0 + (75/2)(0) + c c = -100 number(t) = 100e^t +(75/2)t^2 - 100 so when t = 2.666.. (at 9:40 am) number(2.666...) = 100e^2.6667 + 37.5(2.666..) - ...
April 26, 2015

Analytic Geometry
slope of 1st line = (-2-6)/(5+1) = -8/6 = -4/3 slope of 2nd line = (7+4)/(1-3) = -11/2 angle made by 1st line = tan^-1 (-4/3) = 126.87° angle made by 2nd line = tan^-1 (-11/2) = 100.30° angle between them = 26.565° or tan(angle between) = (-4/3 + 11/2)/(1 + (-4/3...
April 26, 2015

algebra
9(x^2 - 8x + ....) + 4(y^2 + 4y + ....) = -124 9(x^2 - 8x + 16) + 4(y^2 + 4y + 4) = -124 + 144 + 16 9(x-4)^2 + 4(y+2)^2 = 36 divide each term by 36 (x-4)^2 /4 + (y+2)^2 /9 = 1
April 26, 2015

Math
18sin^2 Ø +3cosØ - 17 = 0 18(1- cos^2 Ø) + 3cosØ - 17 = 0 18 - 18cos^2 Ø + 3cosØ -17 = 0 18cos^2 Ø - 3cosØ -1 = 0 (6cosØ + 1)(3cosØ - 1) = 0 cosØ = -1/6 or cosØ = 1/3 Ø = 1.738.. or &...
April 26, 2015

math
Sales of the $12000 which are over $5000 = $7000 so total commission = .06(5000) + .12(7000) = ..
April 26, 2015

math
Let the side parallel to the highway be y ft let each of the other two sides be x ft So 2x + y = 680 y = 680-2x area = xy = x(680-2x) = 680x - 2x^2 which is a parabola opening downwards, and you want its vertex. Since you are doing this type of question, you must have learned ...
April 26, 2015

calculus
integral of (3x^2+2x+4) dx f(x) = x^3 + x^2 + 4x + C given (f(1) = 10 10 = 1 + 1 + 4 + C C = 4
April 26, 2015

Calculus
need their intersection: x^2 - 4x + 3 = x + 4 x^2 - 5x - 1 = 0 was hoping for "nicer" values, but anyway.... x = (5 ± √29)/2 height of our region within those x values = x+4 - (x^2 - 4x + 3) = 1 + 5x - x^2 area = ∫(1 + 5x - x^2)dx from x = (5-&#...
April 26, 2015

Math
I will use l for lambda and m for mu Plane1: (x,y,z) = (2,1,1) + l(-2,1,8) + m(1,-3,-9) Plane2: (x,y,z) = (2,0,1) + s(1,2,1) + t(1,1,1) You want the x's, the y's and the z's to be the same 2 - 2l + m = 2 + s + t s + t + 2l - m = 0 , #1 1 + l - 3m = 0 + 2s + t 2s + ...
April 25, 2015

math
use the first two ordered pairs, since we are told the function is linear (2,1) and (4,-2) slope = (-2-1)/(4-2) = -3/2 To hear , " I don't know how to do this kind of stuff" is not a good thing. Finding slope between any two points is fundamental and pretty basic.
April 25, 2015

calculus
let the radius of the water level be r m let the height of the water be h m make a sketch and by similarity: h/r = 6/3 h/r = 2 h = 2r or r = h/2 V = (1/3)π r^2 h = (1/3)π (h^2/4)(h) = (1/12)π h^3 dV/dt = (1/4) h^2 dh/dt so when h= 2 and dV/dt = 12 12 = (1/4)((4)...
April 25, 2015

trigonometry pls help
According to my sketch, sinØ = 28/32 Ø = ... I assume you have a calculator
April 25, 2015

trigonometry pls help
You don't state where Ø is, I will assume it is one of the two equal angles at the base. a) tan 45 = height/18 height = 18tan45 = 18 b) repeat with tan 55 = height/18 c) since area = (1/2)(36)(height) the larger the height, the larger the area. you do the calculations.
April 25, 2015

math
2cos^2 Ø - sinØ -1=0 2(1-sin^2 Ø) - sinØ - 1 = 0 -2sin^2 Ø - sinØ +1 = 0 2sin^2 Ø + sinØ - 1 = 0 (2sinØ + 1)(sinØ - 1) = 0 sinØ = -1/2 or sinØ = 1 case1: sinØ = -1/2 Ø must be in ...
April 25, 2015

math
At the start: number of fives ---- 4x number of tens ----- 3x $140 in fives = 28 notes so he has 4x-28 of the fives left over he also spent 2/5 of his tens, so he has 3/5 of the tens left or he has 3/5(3x) or 9x/5 tens left over (4x-28)/( (9x/5)) = 2/3 12x - 84 = 18x/5 60x - ...
April 25, 2015

math
There are actually 4 solutions, from Jai's: tanØ = 1/2 so by the CAST rule, Ø is in either the first or the third quadrant Ø = 26.6° ---- Jai's answer Ø = 180+26.6= 206.6° if tanØ = 1 Ø = 45° , ----- again, Jai'...
April 25, 2015

Math
1. 78.5° would be the answer if the angle had been acute, but you wanted the angle in the 4th quadrant so Ø = 360 - 78.463 = 281.5° check by taking cos 281.5° 2. Again you want -90 ≤ Ø ≤ 90, which would be quadrant I or quadrant IV but for...
April 25, 2015

Math
From the equation I can tell that Diane started with $450 , (x=0) and her account increased by $30 per week
April 24, 2015

6th Grade Math Help Please
A rational number is a number which can be expressed exactly as a fraction or a ratio. so your coordinates would NOT contain any square roots.
April 24, 2015

algebra 2
yup, correct again (instead of 30x2power we can type 30x^2 on here)
April 24, 2015

algebra 2
I agree, good job
April 24, 2015

Interest
what is 10000(1.015)^4 ??
April 24, 2015

maths
In effect for each jump , he gains 1 foot. after 1 jump, he is 39 feet from the top after 2 jumps he is 38 feet from the top ... after 10 jumps he is 30 feet from the top .... after 37 jumps he is 3 feet from the top So on the 38th jump he is at the top, and we will assume he ...
April 24, 2015

math
9th term = a+8d = 12 17th term= a+16d = 28 subtract them 8d = 16 d = 2 sub into a+8d = 12 a = -4 4th term = a+3d = -4 + 6 = 2
April 24, 2015

Algebra
let the time passed since Chelsea left be t hrs So Chelsea went for t hrs Sarah went for t+1 hrs When they meet, they both have covered the same distance, so 75t = 55(t+1) 75t = 55t + 55 20t = 55 t = 55/20 or 2.75 hrs Chelsea went for 2.75 hrs of 2 hrs and 45 minutes Sarah ...
April 24, 2015

Math
4 S's 2 P's 4 I's number of permutations = 11!/(4!4!2!) = 34650
April 24, 2015

Algebra
I really don't know where Steve got his numbers from. Making a sketch I have a triangle with sides 165 and 80 and an angle of 65° between them, so by the cosine law x^2 = 80^2 + 165^2 - 2(80)(165)cos 65° = 22467.87789 x = appr 149.9 miles Using vectors we have (...
April 24, 2015

math
no After taking out any two, you could have the following cases: R W B 4 4 2 4 2 4 2 4 4 3 3 4 3 4 3 4 3 3 let's take the 3 3 4 situation prob of that having happened = C(4,1)xC(4,1)xC(4,0)/C(12,2) = 16/66 = 8/33 The other two cases of choosing 2 different colours = 8/33 ...
April 24, 2015

7th grade math
It says to find the equivalent equation containing no fractions. It did not ask to find the solution, so (2/3)x - 1 = 1/2 multiply each term by 6 , the LCD 6(2/3)x - 6(1) = 6(1/2) 4x - 6 = 3 which is choice A
April 23, 2015

Analytic Geometry
make a sketch label the intersection withe the y-axis as (0,y) I have two similar triangles and by ratios (6-y)/3 = (6+y)/6 18+3y = 36-6y 9y=18 y=2 so the sides of the smaller right-angled triangle are 3 and 4, and I recognize the 3, 4, 5 triangle the other triangle is 6 , 8, ...
April 23, 2015

Math
slope = (4-(-3))/(4-2) = 7/2
April 22, 2015

math
The wording is too nebulous. Are the balls numbered from 1 to 75 ? Are you just asking , "What is the probability of picking a 7, then a 14 , and then a 21 ? That is very straight-forward? Once you have that probability, multiply it by 500.00
April 22, 2015

math
ok, how about you trying some of these. They are rather simple probability question and you should be able to do them. Where are you having your difficulty?
April 22, 2015

math
prob(2reds) = (8/14)(7/13) = ..
April 22, 2015

math
prob(red, then yellow) = (8/14)(6/13_ = ...
April 22, 2015

Algebra IMPORTANT
I see 5 terms, not 3. You will need brackets to identify the terms
April 21, 2015

Math
2 errors error #1 : -1 - (-4) = -1 + 4 = 3 So review your subtraction of integers 2nd error: you can't switch direction in your subtraction your points where (-1,-4) and (0,-1) You started by subtracting the first y from the second y, and then you subracted the second x ...
April 21, 2015

Math
Did you not follow the method I showed you for the same kind of question in your previous post?? Are you just guessing at an answer, hoping some somebody will do it for you correctly? How did you arrive at the answer A ?
April 21, 2015

Math
let's take the first pair: (0,-4) and (1,-3) : slope = (-3-(-4))/(1-0) = 1/1 = 1 (I guess C is wrong) second pair: (1,-3) and (2, -2): slope = (-2+3)/2-1) = 1 mmmhhh? third pair: (2,-2) and (3,-1) = (-1+2)/(3-2) = 1 well, now, what do you think??
April 21, 2015

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