Question

Find the equation of the line through point (−3,8) and perpendicular to y=2/7x + 11/7. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answer 1

Perpendicular lines will have slopes that are negative reciprocals. So the desired line will have slope -7/2.

8 = (-7/2)(-3) + b

8 = 21/2 + b

b = -5/2

y = (-7/2)x - (5/2)