Question

which is the equation of the line that is parallel to the given line and passes through the point (-2,2)

Answer 1

From the graph you can read off the slope, m, of the given line.

It is m = rise over run.  Here, run = 0 -(-5), or 5, and
                                               rise = -3 - (-4), or 1.

So the slope  is  m = rise/run = 1/5.

Now find the eqn of the parallel line that passes thru (-2,2):

  y - 2 = (1/5) (x + 2)      in point-slope form