### Home > AC > Chapter 8 > Lesson 8.3.3 > Problem8-121

8-121.

Multiple Choice: Which line below is perpendicular to the line $2x − 5y = 3$?

1. $2x+5y=7$

1. $−2x + 5y = 4$

1. $5x − 2y = −1$

1. $5x+2y=3$

Two lines are perpendicular if their slopes are negative reciprocals.

Put each equation, including the one in the problem, into slope intercept form.

Solve for $y$.

$2x − 5y = 3$

$−5y = −2x = 3$

$y=\frac{2}{5}x+\frac{3}{5}$

$m=\frac{2}{5}$

$\text{For a perpendicular line, }m=-\frac{5}{2}.$

Solve for $y$.

Solve for $y$.

Solve for $y$.

Solve for $y$.

Correct!