SOLUTION: Find all values of A so that the line whose equation is Ax+Ay-2=(2-A)y is perpendicular to the line containig the points (1,-3) and (2,-3).

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Find all values of A so that the line whose equation is Ax+Ay-2=(2-A)y is perpendicular to the line containig the points (1,-3) and (2,-3).      Log On


   

Question 350623: Find all values of A so that the line whose equation is Ax+Ay-2=(2-A)y is perpendicular to the line containig the points (1,-3) and (2,-3).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope of the line containing the points (1,-3) and (2,-3).
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28-3-%28-3%29%29%2F%282-1%29
m=0
The line containing those two points is horizontal.
The line perpendicular to a horizontal line is vertical and has the form,
x=a
so then,
Ay=%282-A%29y
A=2-A
2A=2
A=1
Then,
Ax%2BAy-2=%282-A%29y
x%2By-2=y
highlight%28x=2%29
.
.
.