Question
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
−412
negative 4 Start Fraction 1 over 2 End Fraction
9
9
−9
negative 9
−19
negative Start Fraction 1 over 9 End Fraction
To find the slope of the line given its graph, we need to use the formula for slope, which is (change in y)/(change in x).
The change in y is the difference between the y-coordinates of the two plotted points, which is 0 - 9 = -9.
The change in x is the difference between the x-coordinates of the two plotted points, which is 5 - 4 = 1.
So, the slope can be calculated as (-9)/(1) = -9.
Therefore, the correct answer is −9.