Question

System of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of equations.

A) (3, 0)
B) (0, 3)
C) (4, 0)
D) (0, -3)
​

Answer 1

D) (0, -3)

Explanation:

The solution of two linear equations is the point of intersection of their graphs.

From the graph, the point of intersection of the graphs of the two linear equations is on the y-axis. So, the
`x` value on the
`y` axis is always 0. Also, the point is below the x-axis. So, the
`y` value of the point will be negative.

From the choices given, only (0,-3) matches the above conditions.

Therefore, the correct choice is D. (0, -3).