Choose the system of equations which matches the following graph.

a. 3x + 4y = 24
3x + y = −3

b. 3x + 4y = 24
3x − y = 3

c. 3x − 4y = −24
3x + y = −3

d. 3x − 4y = −24
3x − y = 3

One of the lines passes through points (0, 6) and (-4, 3). Hence the equation is given by:
(y - 6)/(x - 0) = (3 - 6)/(-4 - 0)
(y - 6)/x = -3/-4 = 3/4
4(y - 6) = 3x
4y - 24 = 3x
3x - 4y = -24

The other line passes through points (0, -3) and (1, 0). Hence the equation is given by:
(y - (-3))/(x - 0) = (0 - (-3))/(1 - 0)
(y + 3)/x = (0 + 3)/1
y + 3 = 3x
3x - y = 3

Therefore, the system of equations representing the graph is:
3x - 4y = -24
3x - y = 3