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The answer is D because a simple way to find the midpoint is to find the average of the coordinates by adding up the x values and dividing by two and the same for the y values. So for x it is -4 + 1 which is -3 and that divided by two is -1.5 and same with the y coordinate.

The working is correct, BUT, they did not substitute their x values in which they have found into one of the equations to determine the y values. By using x = 3 and x = -2, sub them into equation 2 (mainly since it is simpler),

x = 3,                                  x = -2
y = 4x + 1                           y = 4x + 1
   = 4(3) + 1                           = 4(-2) + 1
   = 13                                    = -7

Therefore, the correct points of intersection are (3 , 13) and (-2 , -7)

Hope this helped!