У
10-
-9-
-8-
-7-
6
--5-
40
-3-
2-
N
-1.
-0+
-10-9-8-7 -6 -5 -4 -3 -2 -1,0 1 2 3 4 5
-1+
-2-
-3
--4-
--5+
--6-
-7-
--8-
-9.
-10-
6 7 8 9 10
Find the slope of the line given its graph
X
To find the slope of a line, we need to determine the change in y (Δy) divided by the change in x (Δx).
Looking at the given graph, we can see that as x increases from -10 to -1, the y-values are decreasing. Then, as x increases from -1 to 6, the y-values are increasing. From x = 6 to x = 10, the y-values remain constant.
-10 to -1: There is a decrease in y
Δy = -9 - (-1) = -8
Δx = -1 - (-10) = 9
-1 to 6: There is an increase in y
Δy = 5 - (-9) = 14
Δx = 6 - (-1) = 7
6 to 10: There is no change in y
Δy = 0
Δx = 10 - 6 = 4
Now, we can calculate the slope:
For the first segment: slope = Δy/Δx = -8/9
For the second segment: slope = Δy/Δx = 14/7 = 2
For the third segment: slope = Δy/Δx = 0/4 = 0
Therefore, the slope of the line is as follows:
-10 to -1: -8/9
-1 to 6: 2
6 to 10: 0
To find the slope of the line given its graph, we need to determine the change in the y-coordinates divided by the change in the x-coordinates. However, since you have provided only a list of numbers, it is not clear how the line is graphed. Could you provide more information or a visual representation of the graph?
To find the slope of a line from its graph, you need to identify two points on the line. The slope is then calculated as the change in the y-coordinates divided by the change in the x-coordinates.
Looking at the given graph, you need to select any two points on the line. Let's choose the points (6,0) and (-4,0) as they are easy to read from the graph.
The coordinates of the first point are (6,0), where the x-coordinate is 6 and the y-coordinate is 0.
The coordinates of the second point are (-4,0), where the x-coordinate is -4 and the y-coordinate is 0.
Now, calculate the change in the y-coordinates and the change in the x-coordinates:
Change in y-coordinates (denoted as Δy) = y-coordinate of the second point - y-coordinate of the first point = 0 - 0 = 0
Change in x-coordinates (denoted as Δx) = x-coordinate of the second point - x-coordinate of the first point = -4 - 6 = -10
The slope (denoted as m) of the line is calculated as:
m = Δy / Δx
m = 0 / (-10)
m = 0
Therefore, the slope of the line is 0.