Question

The equation of line GH is y = 4x - 3. Erie an equation of a line perpendicular to line GH in slope-intercept form that contains point (2,3).

Answer 1

Alright, so to find the perpendicular version of a linear equation, do this:
if y=mx, then perpendicular y = -(1/m)x.

So, we can start with y = -1/4x + b. But now we need to know which value of b would make this contain the points (2,3). Let's solve!

3 = -1/4(2) + b
3 = -0.5 + b
b = 3.5

An equation perpendicular to y = 4x - 3 that contains the point (2,3) is y = -1/4x + 3.5.