Question

Use the following words to describe the slope for each of the following

Answer 1

The slope can be described as the rise (change on y-axis) of a function over the run (change on x-axis).

When the change in the rise is negative and the change in the run is positive, we obtain the following:

`m=(y2-y1)/(x2-x1)=\frac{\text{rise}}{\text{run}}=(-)/(+)=-\text{ (negative slope)}`

We can see this in the first function image:

This slope is negative then.

In the second function, the rise is 0 (no change in the y-axis) and the run is positive. Then:

`m=(0)/(\wedge x)=0`

This slope is zero.

In the third function, the rise is positive and the run is zero (no change in the x-axis), then the slope is given by:

This slope is undefined.

In the last function, the rise increases and the run increases, then the slope is positive.