Question

Identify an equation in point-slope form for the line perpendicular to y=-1/3x-6 that passes through (–1, 5).

Answer 1

y=-1/3x-6 slope = -1/3
perpendicular  lines, slope is opposite and reciprocal

so slope = 3
passes through (–1, 5).

Point-slope is point-slope form y-y₁=m(x-x₁)
so equation
y - 5 = 3(x + 1)

hope it helps