The equation in point-slope form is:
y - 3 = (1/3)*(x - 9)
How to find the equation of the line?
If a linear equation passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Here we have the two points:
(9,3) and (-6,-2)
Then the slope is:
a = (-2 - 3)/(-6 - 9)
a = -5/-15 = 1/3
Now, using the point (9, 3) we can write the equation as:
y - 3 = (1/3)*(x - 9)