Unit Rates & Proportions Unit Test
7 of 157 of 15 Items
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
The slope of a line can be found by using the formula:
slope = (change in y)/(change in x)
To find the change in y, we subtract the y-coordinate of one point from the y-coordinate of the other point. In this case, it is 0 - 9 = -9.
To find the change in x, we subtract the x-coordinate of one point from the x-coordinate of the other point. In this case, it is 5 - 4 = 1.
Therefore, the slope of the line is -9/1 = -9.
The correct response is:
-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)
In this case, the two points on the line are (4, 9) and (5, 0).
The change in y-coordinates is 0 - 9 = -9.
The change in x-coordinates is 5 - 4 = 1.
Therefore, the slope of the line is -9/1, which simplifies to -9.
So, the correct answer is:
−9
To find the slope of the line given its graph, you can use the slope formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, you have two points plotted on the graph: (4, 9) and (5, 0).
Change in y-coordinates = 0 - 9 = -9
Change in x-coordinates = 5 - 4 = 1
Now, we can plug these values into the slope formula:
slope = (-9) / (1) = -9
So, the slope of the line given its graph is -9.