Question

Find an equation of the line perpendicular to y=4x+5 and that passes through the point (0,-1)

Answer 1

y = -1/4x - 1.

Explanation:

y = 4x + 5

The slope of this is 4 so the slope of line perpendicular to this line = -1/4.

Using the formula y - y1 = m(x - x1):

y - (-1) = -1/4(x - 0)

y + 1 = -1/4x

y = -1/4x - 1.