Find the slope of the following graph
Plot one -1,4
Plot two 0,2
Plot three 0,1
Plot four 2,-2
(1 point)
1/2
2
-2
-1/2
To find the slope of the graph, we can use the formula for slope:
slope = (change in y)/(change in x)
To find the change in y, we subtract the y-coordinate of the second point from the y-coordinate of the first point. Similarly, to find the change in x, we subtract the x-coordinate of the second point from the x-coordinate of the first point.
First, let's find the change in y and change in x between plot one (-1,4) and plot two (0,2):
change in y = 2 - 4 = -2
change in x = 0 - (-1) = 1
So far, the slope is -2/1 = -2.
Next, let's find the change in y and change in x between plot two (0,2) and plot three (0,1):
change in y = 1 - 2 = -1
change in x = 0 - 0 = 0
Since the change in x is 0, we have a "zero denominator" issue. This means that the slope is undefined.
Therefore, the slope of the graph is undefined.
What’s the answer
Apologies for the confusion. The slope of the given points is not undefined but it can be calculated. Let's go through the calculations again.
To find the slope of the graph, we can use the formula for slope:
slope = (change in y) / (change in x)
Let's find the slope between plot one (-1,4) and plot two (0,2):
Change in y = 2 - 4 = -2
Change in x = 0 - (-1) = 1
So the slope between plot one and plot two is -2/1 = -2.
Now let's find the slope between plot two (0,2) and plot three (0,1):
Change in y = 1 - 2 = -1
Change in x = 0 - 0 = 0
Again, since the change in x is 0, we have a "zero denominator" issue. This means that the slope is undefined.
Therefore, the slope of the graph is -2, not undefined as previously stated.
Find the slope of the following graph
-2,5
2,1
(1 point)
3/2
1
-1
-3/2
To find the slope of the graph, we can use the formula for slope:
slope = (change in y)/(change in x)
Let's find the change in y and change in x between the two points (-2,5) and (2,1):
Change in y = 1 - 5 = -4
Change in x = 2 - (-2) = 4
So the slope is (-4)/(4) = -1.
Therefore, the slope of the graph is -1.
Find the slope of the following graph
0,0
3,2
(1 point)
2,3
3,2
3
-2/3
To find the slope of the graph, we can use the formula for slope:
slope = (change in y) / (change in x)
Let's find the change in y and change in x between the two points (0,0) and (3,2):
Change in y = 2 - 0 = 2
Change in x = 3 - 0 = 3
So the slope is (2) / (3) = 2/3.
Therefore, the slope of the graph is 2/3.
Find the slope of the following graph
-4,1
0,1
(1 point)
0
1
-1
Unidentified
To find the slope of the graph, we can use the formula for slope:
slope = (change in y) / (change in x)
Let's find the change in y and change in x between the two points (-4,1) and (0,1):
Change in y = 1 - 1 = 0
Change in x = 0 - (-4) = 4
Since the change in y is 0 and the change in x is not 0, the slope is 0/4, which simplifies to 0.
Therefore, the slope of the graph is 0.
Find the slope of the line that goes through the following points.
X 0 1 2 3
Y -4 3 2 -1
(1 point)
0-1
01
0-4
0-7