Question

Write an equation in slope-intercept form of the line through point P(–3, 6) with slope –2.

Answer 1

y = - 2x

Explanation:

An equation in point-slope form of the line passing through point P(x₁, y₁) with slope m: y - y₁ = m(x - x₁)

m = -2

P(-3, 6) ⇒ x₁ = -3, y₁ = 6

y - 6 = -2(x - (-3))

y - 6 = -2(x + 3) ← point-slope form

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

y = - 2x ← slope-intercept form {intercept=0}