1 Answer

Paul Belanger · Answer 1 · 2019-12-21T16:47:14+0000

The point-slope form:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

The formula of a slope:

m=(y_2-y_1)/(x_2-x_1)

We have the points (-3, 7) and (9, -1). Substitute:

m=(-1-7)/(9-(-3))=(-8)/(12)=-(2)/(3)

$y-7=-(2)/(3)(x-(-3))\\\\\boxed{y-7=-(2)/(3)(x+3)}$ point-slope form

$\boxed{y=-(2)/(3)x+5}$ slope-intercept form

$\boxed{2x+3y=15}$ standard form

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