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
negative 2
1
1
2
2
−1
negative 1
The slope of the line is negative 2.
To find the slope of a line, we can use the formula:
slope = (change in y) / (change in x)
From the given coordinates, we can determine the change in y and change in x.
The line passes through the points (0, 0), (2, -2), (4, -4), and (6, -6).
The change in y between the first two points is -2 - 0 = -2.
The change in x between the first two points is 2 - 0 = 2.
Therefore, the slope of the line is -2/2, which simplifies to -1, or negative 1.
So, the correct answer is:
−1
negative 1