Question

find the slope of each line
1)
slope = ______
2)
slope = ______
3)
slope = ______
4)
slope = ______
5)
slope = ______
6)
slope = ______
7)
slope = ______
8)
slope = ______

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$, using two points $(x_1,y_1),(x_2,y_2)$ on the line.
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1) Identify two points

Points: $(-4,-4)$ and $(4,4)$

Step1: Calculate rise over run

$m = \frac{4 - (-4)}{4 - (-4)} = \frac{8}{8} = 1$

2) Identify two points

Points: $(-2,4)$ and $(4,-2)$

Step1: Calculate rise over run

$m = \frac{-2 - 4}{4 - (-2)} = \frac{-6}{6} = -1$

3) Identify two points

Points: $(-5,-5)$ and $(5,2)$

Step1: Calculate rise over run

$m = \frac{2 - (-5)}{5 - (-5)} = \frac{7}{10}$

4) Identify two points

Points: $(-4,1)$ and $(4,-3)$

Step1: Calculate rise over run

$m = \frac{-3 - 1}{4 - (-4)} = \frac{-4}{8} = -\frac{1}{2}$

5) Identify two points

Points: $(-1,-5)$ and $(1,5)$

Step1: Calculate rise over run

$m = \frac{5 - (-5)}{1 - (-1)} = \frac{10}{2} = 5$

6) Identify two points

Points: $(-2,4)$ and $(3,-4)$

Step1: Calculate rise over run

$m = \frac{-4 - 4}{3 - (-2)} = \frac{-8}{5} = -\frac{8}{5}$

7) Identify two points

Points: $(2,5)$ and $(4,-5)$

Step1: Calculate rise over run

$m = \frac{-5 - 5}{4 - 2} = \frac{-10}{2} = -5$

8) Identify two points

Points: $(-4,2)$ and $(4,-1)$

Step1: Calculate rise over run

$m = \frac{-1 - 2}{4 - (-4)} = \frac{-3}{8} = -\frac{3}{8}$
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Answer:

1. $\boldsymbol{1}$
2. $\boldsymbol{-1}$
3. $\boldsymbol{\frac{7}{10}}$
4. $\boldsymbol{-\frac{1}{2}}$
5. $\boldsymbol{5}$
6. $\boldsymbol{-\frac{8}{5}}$
7. $\boldsymbol{-5}$
8. $\boldsymbol{-\frac{3}{8}}$