Question

Which of the following is a correct equation for the line passing through the point (-2,1)(1,2)

Answer 1

The point-slope form of line:

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

We have the points (-2, 1) and (1, 2). Substitute:

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