Question

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)? y + 3 = −4(x + 4) y + 3 = –(x + 4) y + 3 = (x + 4) y + 3 = 4(x + 4)

Answer 1

Point-slope form : y-y₁=m(x-x₁)

Perpendicular to the given line, and passes through (-4, -3)

Given line slope : -4

How we found slope : I found 2 exact points, and found the slope by doing the slope formula (y₂-y₁/x₂-x₁)

m = slope

However, when a line is perpendicular, we must find the negative reciprocal of our slope.

Slope₁ = -4

Slope ₂ = 1/4

Simply plug everything in.

y - y₁ = m(x - x₁)

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

~Hope I helped!~