Question

slope of the line
count the rise and run between any two coordinates; and find the slope of each line.
1)
slope =
2)
slope =
3)
slope =
4)
slope =
5)
slope =
6)
slope =
7)
slope =
8)
slope =
9)
slope =

Explanation:

Step1: Recall slope formula

Slope $m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Calculate slope for Line 1

Pick points $(-5,-4)$ and $(5,2)$. Rise $=2-(-4)=6$, Run $=5-(-5)=10$.
$m = \frac{6}{10} = \frac{3}{5}$

Step3: Calculate slope for Line 2

Pick points $(-5,2)$ and $(5,-4)$. Rise $=-4-2=-6$, Run $=5-(-5)=10$.
$m = \frac{-6}{10} = -\frac{3}{5}$

Step4: Calculate slope for Line 3

Pick points $(-5,-5)$ and $(5,3)$. Rise $=3-(-5)=8$, Run $=5-(-5)=10$.
$m = \frac{8}{10} = \frac{4}{5}$

Step5: Calculate slope for Line 4

Pick points $(-5,2)$ and $(5,-4)$. Rise $=-4-2=-6$, Run $=5-(-5)=10$.
$m = \frac{-6}{10} = -\frac{3}{5}$

Step6: Calculate slope for Line 5

Pick points $(-2,-5)$ and $(4,6)$. Rise $=6-(-5)=11$, Run $=4-(-2)=6$.
$m = \frac{11}{6}$

Step7: Calculate slope for Line 6

Pick points $(-5,-4)$ and $(5,4)$. Rise $=4-(-4)=8$, Run $=5-(-5)=10$.
$m = \frac{8}{10} = \frac{4}{5}$

Step8: Calculate slope for Line 7

Pick points $(-5,4)$ and $(5,-6)$. Rise $=-6-4=-10$, Run $=5-(-5)=10$.
$m = \frac{-10}{10} = -1$

Step9: Calculate slope for Line 8

Pick points $(-2,-5)$ and $(4,4)$. Rise $=4-(-5)=9$, Run $=4-(-2)=6$.
$m = \frac{9}{6} = \frac{3}{2}$

Step10: Calculate slope for Line 9

Pick points $(-5,2)$ and $(5,-6)$. Rise $=-6-2=-8$, Run $=5-(-5)=10$.
$m = \frac{-8}{10} = -\frac{4}{5}$

Answer:

1. $\frac{3}{5}$
2. $-\frac{3}{5}$
3. $\frac{4}{5}$
4. $-\frac{3}{5}$
5. $\frac{11}{6}$
6. $\frac{4}{5}$
7. $-1$
8. $\frac{3}{2}$
9. $-\frac{4}{5}$