Question

Can anybody help me pls??

Answer 1

Answer: A. Both the slopes and y-intercepts are the same

Explanation:

We know that the y-intercepts are the same, because the linear function formula is written as y = mx + c, where c is the y-intercept. It is made quite clear in the graph that the line crosses the y-axis at y = 3, meaning the two intercepts are equal.

To assure the slopes are the same, we can use the slope formula:

`m = (y_2 - y_1)/(x_2 - x_1)`

We can now choose two coordinates to plug in here, I will use the ones shown on the graph, which are (1, 1) and (0, 3). We can then plug these into the formula:

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

And we can see that g(x) has the same exact slope, making both identical.

Hope this helps, if you need anything else explained please let me know.