What is the equation of the line

a. through (3, -4) and perpendicular to 𝑦 = -1/3x +7?
b. through (-3, 5) and parallel to 𝑦 = − 11𝑥 + 15 ?

1 answer

a. perpendicular lines have negative-inverse slopes
... using point-slope ... y + 4 = 3 (x - 3)

b. parallel lines have equal slopes
... using point-slope ... y - 5 = -11 (x + 3)