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
