SOLUTION: Find the equation of the line that is equidistant from points (3,-2) and (-3,4). Write the equation in slope-intercept form.

Algebra ->  Coordinate-system -> SOLUTION: Find the equation of the line that is equidistant from points (3,-2) and (-3,4). Write the equation in slope-intercept form.       Log On


   

Question 963246: Find the equation of the line that is equidistant from points (3,-2) and (-3,4). Write the equation in slope-intercept form.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula from a point on the line (x,y) to each point.
Since the distances are equal, set them equal to each other.
%28x-3%29%5E2%2B%28y%2B2%29%5E2=%28x%2B3%29%5E2%2B%28y-4%29%5E2
x%5E2-6x%2B9%2By%5E2%2B4y%2B4=x%5E2%2B6x%2B9%2By%5E2-8y%2B16
-6x%2B4y%2B13=6x-8y%2B25
12y=12x%2B12
y=x%2B1