Write the equation of the line that passes through the point P (0, 0) and is perpendicular to the line y = - 2x + 10.
A) $y = \frac { 1 } { 2 } x$
B) $y = - \frac { 1 } { 10 } x$
C) $y = - 10 x$
D) $y = 2 x$
E) $y = - \frac { 1 } { 2 } x + 10$

Question

Write the equation of the line that passes through the point P (0, 0) and is perpendicular to the line y = - 2x + 10.  
A) $y = \frac { 1 } { 2 } x$
B) $y = - \frac { 1 } { 10 } x$
C) $y = - 10 x$
D) $y = 2 x$
E) $y = - \frac { 1 } { 2 } x + 10$

Quizplus · Accepted Answer

The slope of the given line is -2. The slope of a line perpendicular to it would be the negative reciprocal, which is $ \frac{1}{2} $. Since it passes through the origin (0,0), the equation is $ y = \frac{1}{2}x $.

Write the Equation of the Line That Passes Through the Point