Question

Write an equation in point-slope form and in slope-intercept form.

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)`

We have the points (1, -5) and (-3, 7). Substitute:

`m=(7-(-5))/(-3-1)=(12)/(-4)=-3\\\\y-(-5)=-3(x-1)\\\\\boxed{y+5=-3(x-1)}`

The slope-intercept form:

`y=mx+b`

`y+5=-3(x-1)` use distributive property

`y+5=-3x+3` subtract 5 from both sides

`\boxed{y=-3x-2}`