Question

Which system is represented by the graph?

Answer 1

The answer to your question is the first option

Explanation:

Process

1.- Identify the y-intercepts of the lines

blue line y-intercept = -1

brown line y-intercept = -2

With this information, we can discard the last option because those lines don't have those y-intercepts.

2.- We observe in the graphs that the lines are increasing so the slopes are positive. From this information, we can discard the second option.

3.- Calculate the slopes of the lines of options 1 and 3

Blue line Points (0, -1) (1, 2)

m =
`(2 + 1)/(1 - 0) = (3)/(1) = 3`

Brown line Points (0, -2) (1, 1)

m =
`(1 + 2)/(1 - 0) = 3`

As the slopes are 3, we conclude that the answer is the first option.