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 0 comma 2 right parenthesis, left parenthesis 1 comma negative 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)

Answer 1

To find the slope of the line connecting the points \( (0, 2) \) and \( (1, -1) \), we can use the formula for slope, which is:

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

Here, we can assign:
- \( (x_1, y_1) = (0, 2) \)
- \( (x_2, y_2) = (1, -1) \)

Now we can plug these values into the slope formula:

\[
\text{slope} = \frac{-1 - 2}{1 - 0} = \frac{-3}{1} = -3
\]

Therefore, the slope of the line is \( -3 \).