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
−19
negative Start Fraction 1 over 9 End Fraction
−412
negative 4 Start Fraction 1 over 2 End Fraction
9
9
−9
The slope of the line is negative 4 1/2.
To find the slope of the line given its graph, we need to calculate the change in y divided by the change in x.
From the graph, we can see that the two plotted points are (4, 9) and (5, 0).
The change in y is the difference in the y-coordinates: 0 - 9 = -9.
The change in x is the difference in the x-coordinates: 5 - 4 = 1.
Now we can calculate the slope by dividing the change in y by the change in x: -9/1 = -9.
Therefore, the slope of the line is -9.
To find the slope of the line given its graph, we can use the formula for slope:
slope = change in y / change in x
The two plotted points on the line are (4, 9) and (5, 0).
The change in y is the difference in the y-coordinates: 0 - 9 = -9
The change in x is the difference in the x-coordinates: 5 - 4 = 1
Therefore, the slope of the line is -9/1, which simplifies to -9.
So the correct answer is -9.