Write an equation for a line perpendicular

Question

Write an equation for a line perpendicular to y = 4 x − 2 and passing through the point (-4,5)

Answer 1

Write an equation for a line perpendicular to y = 4 x − 2 and passing through the point (-4,5)

The equation is in the slope-intercept format, so we know that m = 4.

A line perpendicular will have a slope that is the negative reciprocal: -1/4

Using this slope and the given point, find the new equation:

y = mx + b <<standard format>>

plug in m, y, an x:

5 = -1/4 * (-4) + b

Solve for b:

5 = 1 + b

b = 4

So....the new line is:

y = -1/4 * x + 4

CHECK by plotting the original line and the new one.....