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
9
9
−412
negative 4 Start Fraction 1 over 2 End Fraction
−9
negative 9
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To find the slope of the line given its graph, we can use the formula:
slope = (change in y) / (change in x)
The change in y is given by the difference in the y-coordinates of the two points: 9 - 0 = 9.
The change in x is given by the difference in the x-coordinates of the two points: 4 - 5 = -1.
Therefore, the slope of the line is 9 / -1 = -9.
So the correct answer is:
negative 9
To find the slope of the line given its graph, we need to determine the change in y divided by the change in x.
Let's label the first point as (x1, y1) and the second point as (x2, y2).
From the graph, the first point is (4, 9) and the second point is (5, 0).
The change in y is y2 - y1 = 0 - 9 = -9.
The change in x is x2 - x1 = 5 - 4 = 1.
Therefore, the slope of the line is the change in y divided by the change in x, which is -9/1 = -9.
So, the correct answer is negative 9.
To find the slope of the line given its graph, we need to determine the change in y (vertical) divided by the change in x (horizontal) between the two plotted points.
In this case, the two plotted points are (4, 9) and (5, 0). The change in y is calculated by subtracting the y-coordinate of the first point from the y-coordinate of the second point: 0 - 9 = -9. The change in x is calculated by subtracting the x-coordinate of the first point from the x-coordinate of the second point: 5 - 4 = 1.
Therefore, the slope of the line is the change in y divided by the change in x: -9/1 = -9.
So, the correct answer is: negative 9.