Question

#1-9 count the slope using the two points on the line. *all answers in lowest form
1)
slope ______
2)
slope ______
3)
slope ______
4)
slope ______
5)
slope ______
6)
slope ______
7)
slope ______
8)
slope ______
9)
slope ______
#10 - 20 find the slope using the two coordinates

Explanation:

Step1: Recall slope formula

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

Step2: Analyze Graph 1

Pick points $(0,0)$ and $(5,7)$
$m = \frac{7-0}{5-0} = \frac{7}{5}$

Step3: Analyze Graph 2

Pick points $(0,6)$ and $(8,4)$
$m = \frac{4-6}{8-0} = \frac{-2}{8} = -\frac{1}{4}$

Step4: Analyze Graph 3

Pick points $(0,8)$ and $(10,2)$
$m = \frac{2-8}{10-0} = \frac{-6}{10} = -\frac{3}{5}$

Step5: Analyze Graph 4

Pick points $(-6,2)$ and $(-3,-2)$
$m = \frac{-2-2}{-3-(-6)} = \frac{-4}{3} = -\frac{4}{3}$

Step6: Analyze Graph 5

Pick points $(-6,-6)$ and $(0,6)$
$m = \frac{6-(-6)}{0-(-6)} = \frac{12}{6} = 2$

Step7: Analyze Graph 6

Pick points $(-6,4)$ and $(6,1)$
$m = \frac{1-4}{6-(-6)} = \frac{-3}{12} = -\frac{1}{4}$

Step8: Analyze Graph 7

Pick points $(-6,2)$ and $(6,8)$
$m = \frac{8-2}{6-(-6)} = \frac{6}{12} = \frac{1}{2}$

Step9: Analyze Graph 8

Pick points $(-6,8)$ and $(6,-4)$
$m = \frac{-4-8}{6-(-6)} = \frac{-12}{12} = -1$

Step10: Analyze Graph 9

Pick points $(-6,6)$ and $(6,-6)$
$m = \frac{-6-6}{6-(-6)} = \frac{-12}{12} = -1$

Answer:

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