Question

Find an equation in slope-intercept form for the line with slope 5 and y-intercept = -2

Answer 1

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