Question

Please help this very important​

Answer 1

Answer:

y= 1/3 - 1

Step-by-step explanation:

You can see that it takes 3 vertical boxes or units to get one unit on the x axis therefore it is 1/3 slope. Because it starts at -1 instead of the origin, it has a -1 behind it.

Answer 2

Answer:

4

Step-by-step explanation:

The rate of change, is essentially the slope.

The slope can be defined as: $\frac{rise}{run}$

It can also be calculated with the formula: $\frac{y_1-y_2}{x_1-x_2}$, which is essentially the same thing, except the y_1-y_2 is calculating the rise, and the x_1-x_2 is calculating the run.

So let's take two points: (0, -1) and (1, 3)

We can plug in the values: $\frac{3-(-1)}{1-0}\implies \frac{3+1}{1}\implies 4$

So the rate of change is 4, and you don't really need the formula here, all you have to see is that as "x" increases by 1, the y is increasing by 4, which is the very definition of the slope/rate of change. It's measuring how much the y is changing as x increases by 1.