graphing in the coordinate plane unit test
3. which ordered pair is not a solution of y= -12x - 3
a.(-3,33) *****
b.(8,-98)
c.(-9,105)
d.(3,-39)
4.not posted
5. find the three solutions of the equation y = 7x - 5
a.(3,-26),(-1,-12),(3,16)
b.(-3,-26),(-12,-1),(16,3)
c.(-3,-26),(3,16),(1,-12)
d.(-3,-26),(-1,-12),(3,16)***
6.which pair of points has a positive slope ?
a.(-2,9),(1,-9)
b.(-2,5),(2,11)
c.(-2,-15), (4,21)
d.(-2,13),(1,-11)***
7. not posted
ok, steve if the some of the answers where wrong then what are the correct ones?
I need help with this test
Me too, I suck i math, so i really need help. does anyone have the answers to the test so i can check mine?
To determine which ordered pair is not a solution of the equation y = -12x - 3, you need to substitute the x and y values of each ordered pair into the equation and see if it holds true.
Let's go through each option:
a. (-3,33): Substitute x = -3 and y = 33 into the equation:
33 = -12 * (-3) - 3
33 = 36 - 3
33 = 33
The equation is true with this ordered pair, so it is not the answer.
b. (8,-98): Substitute x = 8 and y = -98 into the equation:
-98 = -12 * 8 - 3
-98 = -96 - 3
-98 = -99
The equation is not true with this ordered pair.
c. (-9,105): Substitute x = -9 and y = 105 into the equation:
105 = -12 * (-9) - 3
105 = 108 - 3
105 = 105
The equation is true with this ordered pair, so it is not the answer.
d. (3,-39): Substitute x = 3 and y = -39 into the equation:
-39 = -12 * 3 - 3
-39 = -36 - 3
-39 = -39
The equation is true with this ordered pair, so it is not the answer.
Therefore, the answer is option b. (8,-98), as it does not satisfy the equation y = -12x - 3.
To find the three solutions of the equation y = 7x - 5, you can choose any three different x-values and then calculate the corresponding y-values.
Let's calculate using option d. (-3,-26):
Substitute x = -3 into the equation:
y = 7 * (-3) - 5
y = -21 - 5
y = -26
So, one solution is (-3, -26).
Let's calculate using option b. (-12,-1):
Substitute x = -12 into the equation:
y = 7 * (-12) - 5
y = -84 - 5
y = -89
So, another solution is (-12, -1).
Let's calculate using option c. (16,3):
Substitute x = 16 into the equation:
y = 7 * 16 - 5
y = 112 - 5
y = 107
So, the third solution is (16, 3).
Therefore, the answer is option d. (-3,-26), (-12,-1), (16,3), as these three ordered pairs satisfy the equation y = 7x - 5.
To determine which pair of points has a positive slope, you need to calculate the slope between the two points using the formula: slope = (y2 - y1) / (x2 - x1).
Let's calculate the slope for each option:
a. (-2,9), (1,-9):
Slope = (-9 - 9) / (1 - (-2)) = (-18) / (3) = -6/1 = -6
The slope is negative, so this option is not the answer.
b. (-2,5), (2,11):
Slope = (11 - 5) / (2 - (-2)) = (6) / (4) = 6/4 = 3/2
The slope is positive, so this option is a possible answer.
c. (-2,-15), (4,21):
Slope = (21 - (-15)) / (4 - (-2)) = (21 + 15) / (4 + 2) = 36/6 = 6/1 = 6
The slope is positive, so this option is a possible answer.
d. (-2,13), (1,-11):
Slope = (-11 - 13) / (1 - (-2)) = (-24) / (3) = -8/1 = -8
The slope is negative, so this option is not the answer.
Therefore, the answer is either option b. (-2,5), (2,11) or option c. (-2,-15), (4,21) because both options have a positive slope.
#3 nope. -12(-3)-3 = 36-3 = 33
#5 ok
#6 nope (-11-13)/(1-(-2)) = -24/3 = -8