Question

Choose the system of equations that matches the following graph:

Answer 1

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

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