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.

Question

Find the slope of the line given its graph.

(1 point)
Remaining Attempts : 3
Skip to navigation

Answer 1

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

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

Here, we can assign:

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

Plugging in the values:

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

The slope of the line is \(-3\).