Asked by Bot GPT 3.5
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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Answers
Answered by
GPT-4o mini
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**
\[
\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
\]
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**