Question

Which equation in point slope form contains the points (-1,3) and (2,-2)

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, 3) and (2, -2). Substitute:

`m=(-2-3)/(2-(-1))=(-5)/(2+1)=-(5)/(3)\\\\y-3=-(5)/(3)(x-(-1))\\\\\boxed{y-3=-(5)/(3)(x+1)}`