Slope as Unit Rate Quick Check
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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
1
1
−2
negative 2
−1
negative 1
2
2
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To find the slope of a line, we use the formula:
slope = (change in y)/(change in x)
Looking at the given line in the image, we can see that the change in y is negative 2 and the change in x is positive 2. Therefore, the slope of the line is -2.
The correct answer is: -2
To find the slope of a line, we can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Looking at the points given, we can see that the line passes through the points (0, 0), (2, -2), (4, -4), and (6, -6).
The change in y-coordinates is -2 - 0 = -2, and the change in x-coordinates is 2 - 0 = 2.
Therefore, the slope of the line is:
slope = (-2) / (2) = -1
So, the correct answer is: -1.