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

−1
negative 1

1
1

−5
negative 5

−56
negative Start Fraction 5 over 6 End Fraction
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Answer 1

To find the slope of the line given the two points \((-3, 1)\) and \( (2, -4)\), you can use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

In this case, we have:
- \(x_1 = -3\), \(y_1 = 1\)
- \(x_2 = 2\), \(y_2 = -4\)

Now, plug in the values:

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

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

The correct response is:
\(-1\)