Question

Choose the system of equations which matches the following graph.

Answer 1

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

Answer 2

Look at the graph. One line has y-intercept (0,-3) and slope 3. Its equation is
y = mx + b or y = 3x -3 which is the same as 3x - y = 3. That eliminates (a) and (c).

Answer 3

Now look at other line. It has y-intercept (0,6) and slope 3/4. Its equation is
y = mx + b or y = (3/4)x + 6 which is 4y = 3x +24 or 3x - 4y = -24