Question

Write an equation in point-slope form for the line through the given point with the given slope

Answer 1

Point-slope form:

y - y₁ = m(x - x₁)             "m" is the slope

Since you know:

m = -2/5

(x₁ , y₁) = (-3, -5)

Plug it into the equation:

y - y₁ = m(x - x₁)    

y - (-5) = -2/5(x - (-3))

y + 5 = -2/5(x + 3)