## Intermediate Algebra for College Students (7th Edition)

The slope is $m=+2.5$, the line rises.
Slope is defined as $m=\displaystyle \frac{\text{change in y}}{\text{change in x}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} .$ If m is undefined, the line is vertical. If m is positive, the line rises ( y increases as we increase x). If m is zero, the line is horizontal ( y doesn't change as we increase x). If m is negative, the line falls ( y decreases as we increase x). --- Here, $m=\displaystyle \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{6-(-4)}{-3-(-7)}=\frac{10}{4}=+2.5$ The slope is $m=+2.5$, (defined, positive) so the line rises.