Question

Arthur is trying to find the equation of a perpendicular to y = 1/4x + 4 in slope-intercept form that passes through the point (−2, 6). Which of the following equations will he use?

y − 6 = 1/4(x − (−2))
y − (−2) = 1/4(x − 6)
y − 6 = −4(x − (−2))
y − (−2) = −4(x − 6)

I believe it is the third one but I'm not sure haha : ) Am I correct? Thank you!

Answer 1

Yes, you are correct.

The slope of the line will be the negative reciprocal of the 1/4, which is -4
Then, we just plug it into the point-slope form of an equation:
y - y₁ = -4(x - x₁)