General form of slope-intercept equation
y = mx + b
The equation can be calculated using formula
y - y₁ = m(x - x₁)
From the question, we know that
m = 5
the y-intercept have 0 as the x-coordinate, so
(x₁,y₁) = (0,-2)
Make the equation
y - y₁ = m(x - x₁)
y - (-2) = 5(x - 0)
y + 2 = 5x
y = 5x - 2
The answer is c
