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 $m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$
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For Line 1:

Step1: Pick two points

Points: $(-5, -4)$ and $(0, 1)$

Step2: Calculate slope

$m = \frac{1 - (-4)}{0 - (-5)} = \frac{5}{5} = 1$
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For Line 2:

Step1: Pick two points

Points: $(-2, 4)$ and $(2, 0)$

Step2: Calculate slope

$m = \frac{0 - 4}{2 - (-2)} = \frac{-4}{4} = -1$
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For Line 3:

Step1: Pick two points

Points: $(-5, -5)$ and $(2, 0)$

Step2: Calculate slope

$m = \frac{0 - (-5)}{2 - (-5)} = \frac{5}{7}$
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For Line 4:

Step1: Pick two points

Points: $(-5, 0)$ and $(5, -4)$

Step2: Calculate slope

$m = \frac{-4 - 0}{5 - (-5)} = \frac{-4}{10} = -\frac{2}{5}$
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For Line 5:

Step1: Pick two points

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

Step2: Calculate slope

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

Step1: Pick two points

Points: $(-2, 5)$ and $(1, 0)$

Step2: Calculate slope

$m = \frac{0 - 5}{1 - (-2)} = \frac{-5}{3} = -\frac{5}{3}$
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For Line 7:

Step1: Pick two points

Points: $(2, 5)$ and $(3, -5)$

Step2: Calculate slope

$m = \frac{-5 - 5}{3 - 2} = \frac{-10}{1} = -10$
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For Line 8:

Step1: Pick two points

Points: $(-5, 2)$ and $(5, -1)$

Step2: Calculate slope

$m = \frac{-1 - 2}{5 - (-5)} = \frac{-3}{10} = -\frac{3}{10}$

Answer:

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