Find the slope between (0, 6) and (-3,9)

I would start this problem by setting up a table.

In the left column, we will have our x values

and in the right column, we have our y values.

Put our first ordered pair on the top and second on bottom.

We can see the y values go from 6 to 9 so change in y is 3.

The x values go from 0 to -3 so change in x is -3.

The slope is equal to the rate of change or change in y / change in x.

So our slope is 3/-3 of -1.