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

Step-by-step 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}

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step-by-step explanation: