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.
To find the slope of the line, we need to determine the change in y-coordinates divided by the change in x-coordinates between the two points.
Let's label the first point as (x1, y1) = (0,2) and the second point as (x2, y2) = (1, -1).
The change in y-coordinates is y2 - y1 = (-1) - 2 = -3.
The change in x-coordinates is x2 - x1 = 1 - 0 = 1.
Therefore, the slope of the line is -3/1 = -3.
The slope of the line is -3.