SOLUTION: Write an equation in slope-intercept form (y=mx+b, where m is the slope and b is the y-intercept) of the line that passes through the given point and is perpendicular to the give l

Algebra ->  Linear-equations -> SOLUTION: Write an equation in slope-intercept form (y=mx+b, where m is the slope and b is the y-intercept) of the line that passes through the given point and is perpendicular to the give l      Log On


   

Question 311144: Write an equation in slope-intercept form (y=mx+b, where m is the slope and b is the y-intercept) of the line that passes through the given point and is perpendicular to the give line.
(5, -8); y=5/2x+4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have negative reciprocal slopes.
m1%2Am2=-1
%285%2F2%29m2=-1
m2=-2%2F5
Use the point-slope form of a line,
y-yp=m%28x-xp%29
y-%28-8%29=%28-2%2F5%29%28x-5%29
y%2B8=-%282%2F5%29x%2B2
highlight_green%28y=-%282%2F5%29x-6%29