What is the slope of the line in the graph shown below?
----------------------------------------------------------
| y |
| rise = -2 (0,3) |
| run = 1 (1,1) |
| |
|__-4_____-2_______O_____2____4___|
A. -2
B. -1 ◀➖¬➖My answer
C. 1
D. 2
If t went through (0,3) and (1,1)
yhen
dY = 1-3
dX = 1-0
dY/dX = -2/1 = -2
down two, right one
the slope is rise/run
care to change your answer?
Sure^^ Perhaps it could be "1"?
If those two points are on your graph, then no
If those two points are on your graph, then no
change in y / change in x
Ah ok. On the graph, I've gotten -2.
To find the slope of a line from a graph, you need to determine the change in y-coordinates (the rise) divided by the change in x-coordinates (the run) between any two points on that line.
In this case, we have two points on the line: (0,3) and (1,1).
The change in y-coordinates (rise) is calculated by subtracting the y-coordinate of the first point from the y-coordinate of the second point:
rise = 1 - 3 = -2
The change in x-coordinates (run) is calculated by subtracting the x-coordinate of the first point from the x-coordinate of the second point:
run = 1 - 0 = 1
Now, we can determine the slope by dividing the rise by the run:
slope = rise / run = -2 / 1 = -2
Therefore, the slope of the line is -2, which corresponds to option A.