Exercise 3 Page 135

This means that $m$ tells us by how much the line will go up or down as we move to the right on the $x\text{-}$axis. If $m$ is positive, our line goes up and to the right. If $m$ is negative, our line goes down and to the right. Finally, the steepness of the line depends on whether $m$ is a large number (rapid incline or decline) or a small number (gradual incline or decline).

Variations on $m$

Let's look at two different variations of the slope of our function. We can $\text{make the slope steeper by increasing }m$ and we can $\text{change the direction of the line by making }m\text{ negative}$.

Variations on $b$

Now, let's look at two different variations of the $y\text{-}$intercept of our function. We can $\text{increase the }y\text{-intercept }b$ or we can $\text{decrease the }y\text{-intercept }b$.