Question

Find the slope of the line given its graph. (Rise over run)
the graph has a line extending from -10 to 10 and has apoint at (-2, -5) and (0,1)

(1 point)
Responses

3
3

6
6

-3
-3

131 third
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page 15 of 15

1 answer

To find the slope of the line given the points \((-2, -5)\) and \((0, 1)\), we can use the formula for slope:

\[ \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, let:

  • \( (x_1, y_1) = (-2, -5) \)
  • \( (x_2, y_2) = (0, 1) \)

Now, substituting these values into the formula:

\[ \text{slope} = \frac{1 - (-5)}{0 - (-2)} = \frac{1 + 5}{0 + 2} = \frac{6}{2} = 3 \]

Thus, the slope of the line is \(3\).

The correct response is: 3