Find the slope of the line shown on the graph to the right.
Question content area bottom left
Part 1
Select the correct choice below and fill in any answer boxes within your choice.
A.
The slope of the line is enter your response here.
(Type an integer or a simplified fraction.)
B.
The slope is undefined.
.
.
.
Question content area right
Part 1
-8
8
-8
8
(−4,−3)
Without being able to see the graph, it is not possible to determine the slope of the line.
To find the slope of a line, we can use the formula:
Slope = (change in y-coordinates)/(change in x-coordinates)
Given the coordinates (-4,-3) and (8,8), we can calculate the changes:
Change in y-coordinates = 8 - (-3) = 11
Change in x-coordinates = 8 - (-4) = 12
Now, we can find the slope:
Slope = (11)/(12)
Therefore, the slope of the line shown on the graph is 11/12.
Answer:
A. The slope of the line is 11/12.
To find the slope of a line, you need two points on the line. In this case, the two points are given as (-4, -3) and (8, -8). The slope of a line can be calculated using the formula:
slope = (change in y) / (change in x)
To find the change in y (Δy), you subtract the y-coordinates of the two points:
Δy = -8 - (-3) = -8 + 3 = -5
To find the change in x (Δx), you subtract the x-coordinates of the two points:
Δx = 8 - (-4) = 8 + 4 = 12
Now, substitute these values into the slope formula:
slope = Δy / Δx = -5 / 12
Therefore, the slope of the line shown on the graph is -5/12.