what is the point-slope form of a line with slope -5 that contains the point (2,-1)

Answer 1

The point-slope form of a line can be written as (y - y₁) = m(x - x₁) where m is the slope and a point on the line is (x₁, y₁) so this line can be written as (y - (-1)) = (-5)(x - 2)

I'm unsure how much your teacher would want you to simplify this, I would probably write it as y + 1 = -5(x - 2)

Answer 2

y - (-1) = -5(x - 2) is the point-slope form.

Solving for y, we get the slope intercept form y = -5x + 9.