We are asked to find out what happens to the slope of the line p as the x-intercept approaches the origin.
First, let's calculate the slope of the line p without any changes to the x-intercept. We will assume that each square on the graph has a side length of 1.
We can see that as the graph travels from left to right, the rise — the change in y — is about 3.5. Similarly, the run (the change in x) is 2.
Slope=Rise/Run ⇔ Slope=3.5/2≈ 1.8
Next, let's bring the x-intercept a bit closer to the origin.
Let's see what happened to the slope!
slope=3.5/1=3.5
As we can see, the value of the slope increased. If we keep bringing the x-intercept closer to the origin, the slope will keep increasing.
Therefore, when the line p is shifted so that x-intercept approaches the origin, the slope will increase. This result corresponds with option J.
