Question

Which system is represented by the graph?

Answer 1

Answer:

The answer to your question is the first option

Step-by-step 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 = $\frac{2 + 1}{1 - 0} = \frac{3}{1} = 3$

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

            m = $\frac{1 + 2}{1 - 0} = 3$

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