SOLUTION: Find and graph an equation of a line perpendicular to 2x-5y=20. Find and graph an equation of a line parallel to 2x-5y=20. Graph the three lines on the same coordinate plane

Algebra ->  Graphs -> SOLUTION: Find and graph an equation of a line perpendicular to 2x-5y=20. Find and graph an equation of a line parallel to 2x-5y=20. Graph the three lines on the same coordinate plane      Log On


   

Question 330459: Find and graph an equation of a line perpendicular to 2x-5y=20. Find and graph an equation of a line parallel to 2x-5y=20. Graph the three lines on the same coordinate plane
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x-5y=20
-5y=-2x%2B20
y=%282%2F5%29x-4
Perpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
%282%2F5%29%2Am2=-1
m2=-5%2F2
y=-%285%2F2%29x%2Bb
Since it can be any line let b=0.
highlight%28y=-%285%2F2%29x%29
.
.
.
Parallel lines have the same slope and different intercept.
highlight%28y=%282%2F5%29x%29
Plot them all together.
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%282%2F5%29x-4%2C-%285%2F2%29x%2C%282%2F5%29x%29