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 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

−5
negative 5

1
1

−56

Answer 1

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

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

Here, we assign:

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

Now, plugging in the values:

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

Calculating the numerator and the denominator:

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

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

The correct response is:

−1 (negative 1)