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 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 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

−5/6
negative Start Fraction 5 over 6 End Fraction

−5
negative 5

−1
negative 1

1
1
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Answer 1

To find the slope of the line connecting the points \((-3, 1)\) and \((2, -4)\), we can use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Where:
- \((x_1, y_1) = (-3, 1)\)
- \((x_2, y_2) = (2, -4)\)

Now substituting the values:

\[
m = \frac{-4 - 1}{2 - (-3)}
\]
\[
= \frac{-4 - 1}{2 + 3}
\]
\[
= \frac{-5}{5}
\]
\[
= -1
\]

Thus, the slope of the line is \(-1\).

Therefore, the correct response is:

**−1 (negative 1)**.