Which points could be on the line that is parallel to gh and passed through point j ? check all that apply

The first thing we are going to do in this case is find the slope of the GH line.We have then:
 m = (y2-y1) / (x2-x1)
 Substituting values:
 m = (- 2-1) / (2 - (- 4))
 m = (- 3) / (6)
 m = -1 / 2
 Then, the generic equation of the line is:
 y-yo = m (x-xo)
 Since the lines are parallel, then the slope is the same
 m = -1 / 2
 The line passes through point J, that is:
 (xo, yo) = (1, 3)
 The equation of the line will then be:
 y-3 = (- 1/2) (x-1)
 Rewriting:
 y-3 = (- 1/2) x + 1/2
 y = (- 1/2) x + 1/2 + 3
 y = (- 1/2) x + 7/2
 The points that pass through this line are:
 (-3, 5)
 5 = (- 1/2) (- 3) +7/2
 5 = 3/2 + 7/2
 5 = 10/2
 5 = 5
 (3, 2)
 2 = (- 1/2) (3) +7/2
 2 = -3 / 2 + 7/2
 2 = 4/2
 2 = 2

 (5, 1)
 1 = (- 1/2) (5) +7/2
 1 = -5 / 2 + 7/2
 1 = 2/2
 1 = 1
 
 (-3, 5)
 (3, 2)
 (5, 1)