Write an equation of the line that is perpendicular to the given line and that passes through the given point. y = −4x + 2; (−4, −3)

Answer 1

The line y = -4x + 2 has slope -4.

So, any line perpendicular to the given line has slope -1/-4 = 1/4.

Equation of line with slope 1/4 and containing the point (-4,-3) has equation:

y - (-3) = (1/4)[x - (-4)]

y + 3 = (1/4)x + 1

y = (1/4)x - 2