Slope as Unit Rate Quick Check
5 of 55 of 5 Items
Question
Use the image to answer the question.
An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through four plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma negative 2 right parenthesis, left parenthesis 4 comma negative 4 right parenthesis, and left parenthesis 6 comma negative 6 right parenthesis. The solid line forms the hypotenuse for two triangles. The first triangle is marked with a dotted line and has vertices with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 0 comma negative 2 right parenthesis, and left parenthesis 2 comma negative 2 right parenthesis. The base is labeled as 2, and the perpendicular height on the left is labeled as 2. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 2 comma negative 2 right parenthesis, left parenthesis 2 comma negative 6 right parenthesis, and left parenthesis 6 comma negative 6 right parenthesis. The base is labeled as 4, and the perpendicular height on the left is labeled as 4.
What is the slope of the line?
(1 point)
Responses
−2
−2
1
1
2
2
−1
−1
The slope of the line can be determined by using the formula:
slope = (change in y) / (change in x)
Looking at the given points, the change in y is -2 and the change in x is 2.
Therefore, the slope of the line is -2/2 = -1.
To find the slope of a line, we can use the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
From the given information, we can see that the line passes through the points (0,0), (2,-2), (4,-4), and (6,-6).
To find the change in y-coordinates, we can subtract the y-coordinate of the second point from the y-coordinate of the first point.
Change in y-coordinates = -2 - 0 = -2.
To find the change in x-coordinates, we can subtract the x-coordinate of the second point from the x-coordinate of the first point.
Change in x-coordinates = 2 - 0 = 2.
Now we can calculate the slope:
slope = (-2) / 2 = -1.
Therefore, the slope of the line is -1.