Posted by **SKipper** on Monday, December 13, 2010 at 10:18pm.

given ab and its midpoint m. the coordinates of a are (-10,-3) and the coordinates of M are (-4,-1)

a. find the coordinates of B.

b. find the slope of am. c. find the slope that is perpendicular

d. find the slope that is parallel

e . write the equation of AM

answers. please check?

a.

b. slope of am is 1/3

c. -3

d. 1/3

e. y=1/3x+b

plug in (-4,-1)

-1=1/3x+-4

x=9?

so y=1/3x+9?

- slope algebra -
**Reiny**, Monday, December 13, 2010 at 10:58pm
let B(x,y) be the other point

we know how to get the midpoint

(x - 10)/2 = -4

x-10 = -8

x = 2

(y+3)/2 = -1

y+3 = -2

y = -5

coordinates of B are (2,-5)

b) since the slope should be the same for BM , AB, and AM

I will use the original values

slope BM = -4/6 = -2/3

(you will get the same answer for the others, don't know how you got 1/3)

c) the slope of the perp. must be +3/2

d) slope of parallel is -2/3

e) since you slope is wrong, your answer is obviously wrong

y = (-2/3)x + b

(-4,-1) on it

-1 = (-2/3)(-4) + b

-1 = 8/3 + b

b = -11/3

y = (-2/3)x - 11/3

BTW , you subbed the -4 in for the b instead of the x in your solution.

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