First, you need to find the slope of the line. You can use this with the slope formula, [tex] \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex], where the x's and y's are the given coordinates.
[tex] \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex] Plug in the coordinates
[tex] \frac{11 - 5}{-2 - 0} [/tex] Subtract
[tex] \frac{6}{-2} [/tex] Divide
-3
Now, plug the slope (m) and one pair of coordinates, I'll use (-2, 11), into point-slope form, [tex]y - y_{1} = m (x - x_{1})[/tex].
[tex]y - y_{1} = m (x - x_{1})[/tex] Plug in the values
y - 11 = -3 (x - (-2) Cancel out the double negative
y - 11 = -3 (x + 2)
