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

Quizplus · Accepted Answer

The slope of the line perpendicular to y = -2x + 10 is the negative reciprocal of -2, which is $ \frac{1}{2} $. Since it passes through (0,0), the y-intercept is 0, making the equation $ y = \frac{1}{2}x $.

Write the Equation of the Line That Passes Through the Point