The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-2, 7) and (1, 1). Substitute:
[tex]m=\dfrac{1-7}{1-(-2)}=\dfrac{-6}{3}=-2[/tex]
[tex]y-7=-2(x-(-2))\\\\\boxed{y-7=-2(x+2)}[/tex] point-slope form
[tex]\boxed{y=-2x+3}[/tex] slope-intercept form
[tex]\boxed{2x+y=3}[/tex] standard form
