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 point)
To find the slope of the line given its graph, we need to use the slope formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's find the change in y-coordinates:
The y-coordinate of the first point is 2, and the y-coordinate of the second point is -1.
So the change in y-coordinates is: -1 - 2 = -3.
Let's find the change in x-coordinates:
The x-coordinate of the first point is 0, and the x-coordinate of the second point is 1.
So the change in x-coordinates is: 1 - 0 = 1.
Now, let's calculate the slope:
slope = (-3) / (1) = -3
Therefore, the slope of the line is -3.