Answer:
[tex]y-5 = \frac{1}{3}(x-6)[/tex]
Step-by-step explanation:
Point Slope Form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
where m = slope
First, you have to find the slope of the line which is the difference in y values divided by the difference in x values.
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
[tex]m = \frac{2-5}{-3-6}[/tex]
[tex]m = \frac{-3}{-9} \\m = \frac{1}{3}[/tex]
Then plug in the values from either point to complete your equation of the line:
[tex]y-5 = \frac{1}{3}(x-6)[/tex]
