Question

Which equation is a point-slope form of the equation of this line (-2, 1 ) and (1, 7 )

Answer 1

The point-slope formula:

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

We have (-2, 1) and (1, 7).

Substitute:

$m=\dfrac{7-1}{1-(-2)}=\dfrac{6}{3}=2$

$y-1=2(x-(-2))\\\\y-1=2(x+2)$