Slope of (-2, - 5) and (1, - 3)

Start by making a table for the ordered pairs with the x-values

in the left column and the y-values in the right column.

--x--|--y--

-2 | - 5

1 | - 3

|

|

Now remember that the slope is equal to the rate of change

or the change in y over the change in x.

We can see that the y-values go from - 5 to - 3 so the change in y is 2.

The x-values go from - 2 to 1 so the change in x is 3.

So the change in y over the change in x is 2/3.

This means that the slope is also equal to 2/3.