Question

The slope of a line perpendicular to $5x+3y+1=0$ is ____

• A. $-\frac{5}{3}$
• B. $\frac{5}{3}$
• C. $-\frac{3}{5}$
• D. $\frac{3}{5}$

Answer 1

The correct option is D $\frac{3}{5}$

Write the equation $5x+3y+1=0$ in a slope intercept form as follows:

$5x+3y+1=0$

$3y=-5x-1$

$y=-\frac{5}{3}x-\frac{1}{3}$

The slope of the line is $-\frac{5}{3}$.

Let $m$ stand for the slope of the perpendicular line then, $-\frac{5}{3}m=-1$

Hence, $m=\frac{3}{5}$