Question

the graph below represents y=x. If the slope of the above equation is changed from 1 to 4 which graph best represents the new equation

Answer 1

a graph with slope 4 would be y=4x

Answer 2

The graph of the new equation is shown in figure 2.

Explanation:

Consider the provided function.

`y=x`

The graph of the above function is shown in figure 1.

The slope intercept form is:

`y=mx+c`

Where m is the slope and c is the y intercept.

Now, compare the slope intercept form with the provided function.

By the comparison it can be conclude that the slope of the provided function is 1 and y intercept is 0. As the coefficient of x is 1.

We need to change the slope from 1 to 4.

So change the coefficient of x from 1 to 4.

Thus, the required function is
`y=4x`

The graph of the new equation is shown in figure 2.