We will now look at the rate of change, m, on a graph.
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Transcript of We will now look at the rate of change, m, on a graph.
![Page 1: We will now look at the rate of change, m, on a graph.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56812c8b550346895d913abc/html5/thumbnails/1.jpg)
We will now look at the rate of change, m, on a graph.
Introduction to Slope, m
![Page 2: We will now look at the rate of change, m, on a graph.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56812c8b550346895d913abc/html5/thumbnails/2.jpg)
The graph of a linear function is a straight line.
So, we can say
So, we can say
๐ฆ 1
๐๐๐๐
Pt. 1
Pt. 2
๐ฆ 2
We can show the locations of the x and y parts of the points on the graph as below:
![Page 3: We will now look at the rate of change, m, on a graph.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56812c8b550346895d913abc/html5/thumbnails/3.jpg)
Find the slope, m, of the linear function:
๐ฆ 1
๐๐๐๐
Pt. 1
Pt. 2 ๐ฆ 2
Change in y
๐=๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐๐๐๐๐
is 3.
is the vertical count up (or down which is a negative number) from point to point.is the count
is the horizontal count right (or left which is a negative number) from point to point.is the countChange in
x is 4.
We say when x changes by 4, there is a change in y of 3 from point to point.
๐=๐๐
![Page 4: We will now look at the rate of change, m, on a graph.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56812c8b550346895d913abc/html5/thumbnails/4.jpg)
Find the slope, m, of the linear function:
๐ฆ 1
๐๐๐๐๐ฆ 2
Pt. 1Pt. 2 Change in
y
๐=๐๐๐๐๐๐๐๐ ๐๐๐๐๐๐๐๐๐๐
is 1.
is the vertical count up (or down which is a negative number) from point to point.is the count
is the horizontal count right (or left which is a negative number) from point to point.is the count
Change in x
is 2.
We say when x changes by 1, there is a change in y of 2 from point to point.
๐=๐๐
![Page 5: We will now look at the rate of change, m, on a graph.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56812c8b550346895d913abc/html5/thumbnails/5.jpg)
Using the slope, m, can you find another point on the graph?
Pt. 3 Change in y
๐=๐๐
is the vertical count up so we count up 1 from known point, then:
is the horizontal count right so we count right 2 .
Change in x
2
1
This is the location of the new point, pt. 3.
Write the new point as an ordered pair:
![Page 6: We will now look at the rate of change, m, on a graph.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56812c8b550346895d913abc/html5/thumbnails/6.jpg)
Find the slope of the linear function, then locate one more point. Write the ordered pair for this point.
Pt. 3
-2
is the vertical count down.
is the horizontal count right so we count right 3 .3
Using the slope as a repeating pattern, we locate a new point.
The new point written as an ordered pair is
is -2.
is 3.
๐=โ๐๐
![Page 7: We will now look at the rate of change, m, on a graph.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56812c8b550346895d913abc/html5/thumbnails/7.jpg)
Find the slope of the linear function, then locate one more point. Write the ordered pair for this point.
Pt. 3
-2
is also called the rise.
is the run .3
is -2.
is 3.
The slope,m, also the rate of change, for this linear function is: