Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. $( 0,0 ) ; y = 5 x - 9$
A) $y = 9 x$
B) $y = - \frac { 1 } { 9 } x$
C) $y = \frac { 1 } { 5 } x$
D) $y = - \frac { 1 } { 5 } x$
E) $y = 5 x$

Question

Quizplus · Accepted Answer

The given line has a slope of 5, so any line perpendicular to it must have a slope of $-\frac{1}{5}$.

Using point-slope form:

$y-0=-\frac{1}{5}(x-0)$

Simplifying:

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

So the answer is choice D.

Find an Equation of the Line That Passes Through the Given