Find the equation of a line perpendicular to y=−4x−1 that contains the point (−2,2). write the equation in slope-intercept form.

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 1 ← is in slope- intercept form

with slope m = - 4

Given a line with slope m then the slope of a line perpendicular to it is

= - = - = , thus

y = x + c ← is the partial equation of the line

To find c substitute (- 2, 2) into the partial equation

2 = - + c ⇒ c =

y = x + ← in slope- intercept form

the answer is a

step-by-step explanation:

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