Write an equation of the line that is perpendicular to the line $y = \frac { 1 } { 6 } x - 4$ and passing through the point (0,-7) . Leave answer in slope-intercept form.
A) $y = - 6 x - 7$
B) $y = 6 x - 7$
C) $y = \frac { 1 } { 6 } x - 7$
D) $y = - \frac { 1 } { 6 } x - 7$

Question

Quizplus · Accepted Answer

The slope of the given line is $ \frac{1}{6} $. The slope of a line perpendicular to it will be the negative reciprocal, which is $ -6 $. Using the point (0,-7) and the slope $ -6 $, the equation in slope-intercept form is $ y = -6x - 7 $.

Write an Equation of the Line That Is Perpendicular to the Line