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

a.

y = - 5x + 2

c.

5y = x - 2

b.

y = 5x - 2

d.

5x - y = 2

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

Option B is the answer