Question

finding slope from a graph
date_________ period__
find the slope of each line. identify the ordered pair from each dot.
$m=\frac{y_2-y_1}{x_2-x_1}$
1)
2)
3)
4)
5)
6)
7)
8)

Explanation:

1) Step1: Identify points on the line

Points: $(-6, 4)$ and $(4, -2)$

1) Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-4}{4-(-6)}=\frac{-6}{10}=-\frac{3}{5}$
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2) Step1: Identify points on the line

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

2) Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{2-(-4)}=\frac{3}{6}=\frac{1}{2}$
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3) Step1: Identify points on the line

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

3) Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-2}{2-(-4)}=\frac{-5}{6}=-\frac{5}{6}$
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4) Step1: Identify points on the line

Points: $(-3, 1)$ and $(1, 0)$

4) Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{1-(-3)}=\frac{-1}{4}=-\frac{1}{4}$
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5) Step1: Identify points on the line

Points: $(-5, -3)$ and $(1, -1)$

5) Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-(-3)}{1-(-5)}=\frac{2}{6}=\frac{1}{3}$
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6) Step1: Identify points on the line

Points: $(-4, 2)$ and $(-1, -3)$

6) Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-2}{-1-(-4)}=\frac{-5}{3}=-\frac{5}{3}$
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7) Step1: Identify points on the line

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

7) Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-4}{2-2}=\frac{-4}{0}$ (undefined, vertical line)
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8) Step1: Identify points on the line

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

8) Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-1}{0-0}=\frac{-3}{0}$ (undefined, vertical line)

Answer:

1. Slope: $-\frac{3}{5}$; Points: $(-6, 4)$, $(4, -2)$
2. Slope: $\frac{1}{2}$; Points: $(-4, -2)$, $(2, 1)$
3. Slope: $-\frac{5}{6}$; Points: $(-4, 2)$, $(2, -3)$
4. Slope: $-\frac{1}{4}$; Points: $(-3, 1)$, $(1, 0)$
5. Slope: $\frac{1}{3}$; Points: $(-5, -3)$, $(1, -1)$
6. Slope: $-\frac{5}{3}$; Points: $(-4, 2)$, $(-1, -3)$
7. Slope: Undefined; Points: $(2, 4)$, $(2, 0)$
8. Slope: Undefined; Points: $(0, 1)$, $(0, -2)$