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:

$y-y_1=m(x-x_2)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{2-1}{1-(-2)}=\dfrac{1}{3}\\\\y-1=\dfrac{1}{3}(x-(-2))\\\\\boxed{y-1=\dfrac{1}{3}(x+2)}$