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 4 comma 9 right parenthesis, left parenthesis 5 comma 0 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)
Responses
−4/12
−1/9
9
−9
To find the slope of the line, we need to use the formula for slope:
slope = (change in y) / (change in x)
In this case, the change in y is the difference in the y-coordinates of the two plotted points, which is 9 - 0 = 9.
The change in x is the difference in the x-coordinates of the two plotted points, which is 4 - 5 = -1.
So, the slope of the line is 9 / -1 = -9.
Therefore, the correct answer is -9.