SOLUTION: determine the equation of the line described. put answer in slope-intercept form, if possible. Through (-8,1), perpendicular to 5x+3y=-13

Algebra ->  Functions -> SOLUTION: determine the equation of the line described. put answer in slope-intercept form, if possible. Through (-8,1), perpendicular to 5x+3y=-13      Log On


   

Question 322839: determine the equation of the line described. put answer in slope-intercept form, if possible.
Through (-8,1), perpendicular to 5x+3y=-13
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B3y=-13
3y=-5x-13
y=-%285%2F3%29x-13%2F3
Perpendicular lines have slopes that are negative reciprocals,
m1%2Am2=-1
-%285%2F3%29%2Am2=-1
m2=3%2F5
.
.
.
y=mx%2Bb=%283%2F5%29x%2Bb
Use the point (-8,1) to solve for b.
1=%283%2F5%29%28-8%29%2Bb
b=5%2F5%2B24%2F5
b=29%2F5
.
.
highlight%28y=%283%2F5%29x%2B29%2F5%29
.
.
.