Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point on a line
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (2, 6) and (-1, 3).
Substitute:
[tex]m=\dfrac{3-6}{-1-2}=\dfrac{-3}{-3}=1[/tex]
Take the point (2, 6):
[tex]y-6=1(x-2)[/tex]