for the line which includes points (0, -4) and (4, 2), the equation is given by: (y - (-4))/(x - 0) = (2 - (-4))/(4 - 0)
(y + 4)/x = (2 + 4)/4 = 6/4 = 3/2
2(y + 4) = 3x
2y + 8 = 3x
3x - 2y = 8
for the line which includes points (0, -5) and (4, 1), the equation is given by:
(y - (-5))/(x - 0) = (1 - (-5))/(4 - 0)
(y + 5)/x = (1 + 5)/4 = 6/4
4(y + 5) = 6x
4y + 20 = 6x
6x - 4y = 20
Therefore, the system of equation which is represented by the graphs is:
3x - 2y = 8
6x - 4y = 20
