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
−1
negative 1
2
2
−2
negative 2
Skip to navigation
To find the slope of the line, we need to calculate the change in y-coordinate divided by the change in x-coordinate between any two points on the line.
Let's choose the points (0,0) and (2,-2) to calculate the slope.
The change in y-coordinate is -2 - 0 = -2.
The change in x-coordinate is 2 - 0 = 2.
So, the slope of the line is -2/2 = -1.
To find the slope of the line, we can use the formula:
slope = (change in y)/(change in x)
From the coordinates given, 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, we subtract the y-coordinates of two points on the line:
change in y = -6 - 0 = -6
To find the change in x, we subtract the x-coordinates of the same two points:
change in x = 6 - 0 = 6
Now we can calculate the slope:
slope = (change in y)/(change in x) = -6/6 = -1
Therefore, the slope of the line is negative 1 or -1.