Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y = -$ $10 x + 5$.
A) $\quad y = 10 x$
B) $\quad y = - \frac { 1 } { 5 } x$
C) $y = - 5 x$
D) $y = - \frac { 1 } { 10 } x + 5$
E) $y = \frac { 1 } { 10 } x$

Question

Quizplus · Accepted Answer

The slope of the given line is -10. The slope of a line perpendicular to it is the negative reciprocal, which is $\frac{1}{10}$. The line passes through the origin, so the equation is $y = \frac{1}{10}x$.

Write the Equation of the Line That Passes Through the Point