Question

In the xy

xy-plane, line l
l passes through the origin and is perpendicular to the line with equation 5x−2y=8
5x-2y=8
. Which of the following could be an equation of line l
l
?


A


5x−2y=8
5x-2y=8



B


y=
2
5
x
y=25x



C


2x+5y=0
2x+5y=0



D


y=−
5
2
x+4
y=-52x+4

Answer 1

The equation for a perpendicular line through the origin can be written by swapping the x- and y-coefficients and negating one. When you do that, you get ...
C. 2x + 5y = 0