Question

name
3-3, find slope, given graph, two points
find the slope of each line.
1)
2)
3)
4)
5)
6)

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$ for points $(x_1,y_1),(x_2,y_2)$
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For Line 1:

Step1: Identify two points

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

Step2: Calculate slope

$m = \frac{2 - (-2)}{1 - (-4)} = \frac{4}{5}$
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For Line 2:

Step1: Identify two points

Points: $(-3,-2), (-1,2)$

Step2: Calculate slope

$m = \frac{2 - (-2)}{-1 - (-3)} = \frac{4}{2} = 2$
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For Line 3:

Step1: Identify two points

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

Step2: Calculate slope

$m = \frac{-3 - 2}{3 - (-2)} = \frac{-5}{5} = -1$
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For Line 4:

Step1: Identify two points

Points: $(-3,1), (3,-2)$

Step2: Calculate slope

$m = \frac{-2 - 1}{3 - (-3)} = \frac{-3}{6} = -\frac{1}{2}$
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For Line 5:

Step1: Identify two points

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

Step2: Calculate slope

$m = \frac{-3 - 4}{2 - (-3)} = \frac{-7}{5} = -\frac{7}{5}$
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For Line 6:

Step1: Identify two points

Points: $(-3,-1), (1,2)$

Step2: Calculate slope

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

Answer:

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