What is the equation in point -slope form. of the line passing through (0, 5) and (-2,11)

First, you need to find the slope of the line. You can use this with the slope formula, , where the x's and y's are the given coordinates.

  Plug in the coordinates
  Subtract
  Divide
-3

Now, plug the slope (m) and one pair of coordinates, I'll use (-2, 11), into point-slope form, .

  Plug in the values
y - 11 = -3 (x - (-2)   Cancel out the double negative
y - 11 = -3 (x + 2)