Question

The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below. ​

Answer 1

The graph y=|x|*2 is steeper than the graph y=[x] and has the same y-intercept.

Step-by-step explanation:

The graph y=[x] represents a line with a slope of 1 and a y-intercept of 0. This means that for every increase of 1 unit on the x-axis, the y-value increases by 1 unit. Now, let's compare this to the graph of y=|x|*2.

The graph y=|x|*2 represents a V-shaped graph with a slope of 2 and a y-intercept of 0. This means that for every increase of 1 unit on the x-axis, the y-value increases by 2 units.

So, comparing these two graphs:

• The graph y=|x|*2 is steeper than the graph y=[x] because it has a larger slope of 2 compared to 1.
• The graph y=|x|*2 also has the same y-intercept of 0 as the graph y=[x].