Question

math practice
name
warm - up
find the slope of each line.
1)
2)
3)
4)
5)
6)
7)
8)

Explanation:

Step1: Recall slope formula

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

Step2: Solve for Line 1

Pick points $(-6,-2), (6,1)$
$m = \frac{1 - (-2)}{6 - (-6)} = \frac{3}{12} = \frac{1}{4}$

Step3: Solve for Line 2

Pick points $(-6,2), (6,-2)$
$m = \frac{-2 - 2}{6 - (-6)} = \frac{-4}{12} = -\frac{1}{3}$

Step4: Solve for Line 3

Pick points $(-4,-3), (2,-1)$
$m = \frac{-1 - (-3)}{2 - (-4)} = \frac{2}{6} = \frac{1}{3}$

Step5: Solve for Line 4

Pick points $(-6,4), (6,-2)$
$m = \frac{-2 - 4}{6 - (-6)} = \frac{-6}{12} = -\frac{1}{2}$

Step6: Solve for Line 5

Horizontal line, slope = 0
$m = \frac{0 - 0}{x_2 - x_1} = 0$

Step7: Solve for Line 6

Pick points $(-3,-2), (-2,1)$
$m = \frac{1 - (-2)}{-2 - (-3)} = \frac{3}{1} = 3$

Step8: Solve for Line 7

Pick points $(-4,3), (-2,0)$
$m = \frac{0 - 3}{-2 - (-4)} = \frac{-3}{2} = -\frac{3}{2}$

Step9: Solve for Line 8

Vertical line, slope is undefined
$m = \frac{y_2 - y_1}{0}$ (undefined)

Answer:

1. $\frac{1}{4}$
2. $-\frac{1}{3}$
3. $\frac{1}{3}$
4. $-\frac{1}{2}$
5. $0$
6. $3$
7. $-\frac{3}{2}$
8. Undefined