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)
1 answer
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:
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 \( -3 \).
