Question

A line passes through the point (-4, -2) and has a slope of -5/2. Write an equation in slope- intercept form for this line.

Answer 1

y = -⁵/₂x - 12

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2) ⇒ x₀ = -4, y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

y + 2 = -⁵/₂x - 10 {subtract 2 from both sides}

y = -⁵/₂x - 12 ← the slope-intercept form of the equation