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 answer

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.
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