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.
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1 answer
To find the slope of the line that connects the two points \( (0, 2) \) and \( (1, -1) \), you can use the slope formula:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, you have:
Substituting these values into the formula gives:
\[ m = \frac{-1 - 2}{1 - 0} = \frac{-3}{1} = -3 \]
Thus, the slope of the line is \(-3\).
