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.