In the picture, find the slope of the line between the two given points.
Answer
We have rise = 30 – 9 = 21 and run = 5 – 2 = 3, as we can see from this picture.
This means the slope of the line between the two points is . This seems realistic, since we can see the line should have a steep positive slope.
Example 2
In the picture, find the slope of the line between the two given points.
Answer
We have rise = 3 – (-3) = 6 and run = -2 – (-5), as we can see:
This means the slope of the line between the two points is . Again, we got a positive number, which matches the way the picture looks.
Example 3
In the picture, find the slope of the line between the two given points.
Answer
As we can see in the picture, rise = 3 – 12 = -9 and run = 10 – 4 = 6.
This slope is then . We can see from the picture that the slope should be negative, so it's reassuring that we got a negative number when we calculated the slope.
Example 4
Find the slope of the line between the two points (4, 7) and (6, 14).
Answer
(4, 7) and (6, 14)
Let
Then
.
Example 5
Find the slope of the line between the two points (5, 8) and (-1, -2).
Answer
(5, 8) and (-1, -2)
Then
Alternately, we could take
Then
Example 6
Find the slope of the line between the two points (-2, -3) and (-7, -1).
. This seems realistic, since we can see the line should have a steep positive slope.
. Again, we got a positive number, which matches the way the picture looks.
. We can see from the picture that the slope should be negative, so it's reassuring that we got a negative number when we calculated the slope.
.
