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?
b. slope of am is 1/3
plug in (-4,-1)
- 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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