Slope Formula Worksheets with pairs of points to find the slope of lines.

To find the slope of a line passing through two points, we use the slope formula:

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

We’ll calculate the slope for each pair of points one by one.

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

Let’s label them:
- $x_1 = -1$, $y_1 = -4$
- $x_2 = 3$, $y_2 = -3$

Plug into formula:

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

✔ Slope = 1/4

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2. Points: (1, -5) and (-4, 5)

Label:
- $x_1 = 1$, $y_1 = -5$
- $x_2 = -4$, $y_2 = 5$

$$
m = \frac{5 - (-5)}{-4 - 1} = \frac{5 + 5}{-5} = \frac{10}{-5} = -2
$$

✔ Slope = -2

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3. Points: (-5, -3) and (5, -5)

Label:
- $x_1 = -5$, $y_1 = -3$
- $x_2 = 5$, $y_2 = -5$

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

✔ Slope = -1/5

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4. Points: (2, -5) and (0, 5)

Label:
- $x_1 = 2$, $y_1 = -5$
- $x_2 = 0$, $y_2 = 5$

$$
m = \frac{5 - (-5)}{0 - 2} = \frac{5 + 5}{-2} = \frac{10}{-2} = -5
$$

✔ Slope = -5

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

Label:
- $x_1 = -5$, $y_1 = 0$
- $x_2 = 5$, $y_2 = -2$

$$
m = \frac{-2 - 0}{5 - (-5)} = \frac{-2}{10} = -\frac{1}{5}
$$

✔ Slope = -1/5

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6. Points: (-5, -4) and (5, -1)

Label:
- $x_1 = -5$, $y_1 = -4$
- $x_2 = 5$, $y_2 = -1$

$$
m = \frac{-1 - (-4)}{5 - (-5)} = \frac{-1 + 4}{10} = \frac{3}{10}
$$

✔ Slope = 3/10

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Final Answer:
The slopes are:
1. $\frac{1}{4}$
2. $-2$
3. $-\frac{1}{5}$
4. $-5$
5. $-\frac{1}{5}$
6. $\frac{3}{10}$