Question

Help please:)))

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

Answer 1

y = -1/4x - 1

Explanation:

First, put the equation in slope intercept form:

4x - y = 2

4x - 2 - y = 0

4x - 2 = y

y = 4x - 2

Perpendicular lines have opposite reciprocal slopes. Since the original slope is 4, the other line's slope will be -1/4

Plug in the given point and the slope into y = mx + b, then solve for b:

y = mx + b

-2 = -1/4(4) + b

-2 = -1 + b

-1 = b

Plug in the slope and b into the equation:

y = -1/4x - 1 is the equation