Question

What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the point (–12, 10)?

y = x – 6
y = x + 6
y = x + 26
y = x + 10

Answer 1

The slope of y = x − 2 is 1, so the perpendicular slope is −1. Using (−12, 10):

10 = (−1)(−12) + b ⇒ 10 = 12 + b ⇒ b = −2.

Thus the line is y = −x − 2. None of the given choices match.