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
−9
negative 9
−19
negative Start Fraction 1 over 9 End Fraction
−412
negative 4 Start Fraction 1 over 2 End Fraction
9
To find the slope of the line given its graph, we can use the slope formula:
slope = (change in y-coordinates)/(change in x-coordinates)
The change in y-coordinates is 0 - 9 = -9.
The change in x-coordinates is 5 - 4 = 1.
So the slope of the line is -9/-1 = 9.
Therefore, the correct answer is 9.