Write the equation of line that is perpendicular to y = 1/4x and passes through the point (2, -5)

Question

mathstudent55 · Answer

The slopes of perpendicular lines are negative reciprocals.
That means the product of the slopes is -1.

The line you are given,

$y = \dfrac{1}{4}x $

is in slope-intercept form, $y = mx + b$, with slope m and y-intercept b.

Its slope is $ \dfrac{1}{4} $. The slope of the perpendicular is $ - \dfrac{4}{1} = -4 $

$ y = -4x + b$

Now plug in the x and y coordinates of the point you are given into x and y in the equation above, and solve for b. That will give you the y-intercept.

anonymous · Answer

y=-4x-13?