Question

Question

Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 2 comma negative 5 right parenthesis, left parenthesis 0 comma 1 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)
Responses

3
3

6
6

−3
negative 3

13
Start Fraction 1 over 3 End Fraction
Remaining Attempts : 3
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Answer 1

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

\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]

In this case, we can assign the points as follows:

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

Now, we can substitute these values into the slope formula:

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

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

Response: 3