Question

What equation represents the line that passes through the points (-3,7) and (9,-1)

Answer 1

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