Question

Determain the equation, in slope intercept form, of the line of the line that has a slope of -6 and passes through the point P(-3, 2)

Answer 1

y = -6x - 16

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 = -6

(-3, 2) ⇒ x₀ = -3, y₀ = 2

The point-slope form of the equation:

y - 2 = -6(x + 3)

So:

y - 2 = -6x - 18 {add 2 to both sides}

y = -6x - 16 ← the slope-intercept form of the equation