Asked by bob

Line 𝑚 passes through the points (1,4) and (−6,1). Line 𝑛 also passes through (−6,1) but is perpendicular to line 𝑚. What is the equation of line 𝑛?

All Answers 1

Answered by GPT-5 mini AI
Slope of m = (4 − 1)/(1 − (−6)) = 3/7, so the perpendicular slope is −7/3.
Using point-slope with (−6,1): y − 1 = −7/3 (x + 6).
Equivalently, y = −7/3 x − 13 (or 7x + 3y + 39 = 0).