SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit...
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Transcript of SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit...
![Page 1: SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649e585503460f94b50cd6/html5/thumbnails/1.jpg)
SLOPESLOPESection 1.8
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NotesNotesIn a linear relationship, the vertical
change (change in y-value) per unit of horizontal change (change in x-value) is always the _________.
This ratio is called the _________ of the function.
The ____________, or unit rate, is the same as the slope of the related linear relationship.
![Page 3: SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649e585503460f94b50cd6/html5/thumbnails/3.jpg)
What does slope What does slope measure?measure?Slope measures
______________________________.
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What are the different types What are the different types of slope?of slope?________ _________
![Page 5: SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649e585503460f94b50cd6/html5/thumbnails/5.jpg)
What are the different types What are the different types of slope? (continued)of slope? (continued)_________ _________
![Page 6: SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649e585503460f94b50cd6/html5/thumbnails/6.jpg)
TAKING SLOPE A STEP TAKING SLOPE A STEP FURTHERFURTHER
THE SLOPE TELLS HOW THE SLOPE TELLS HOW STEEP THE LINE ISSTEEP THE LINE IS
![Page 7: SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649e585503460f94b50cd6/html5/thumbnails/7.jpg)
Formulas to find slopeFormulas to find slope
Slope = RISERUN
Vertical ChangeHorizontal
Change
=Change in yChange in x
![Page 8: SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649e585503460f94b50cd6/html5/thumbnails/8.jpg)
What is slope?What is slope?Slope is the rate of change of a
straight line.How would you make a graph
based on the following story problem?◦In 1970 there were 160 African
American women in elected public office in the United States. By 1993 the number had increased to 2332.
![Page 9: SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649e585503460f94b50cd6/html5/thumbnails/9.jpg)
ExamplesExamples1. Graph the data about plant height for a
science fair project. Then find the slope of the line. Explain what the slope represents.
Week Plant Height (centimeters)
1 1.5
2 3
3 4.5
4 6
Slope = Change in y/ Change in x
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![Page 11: SLOPE Section 1.8. Notes In a linear relationship, the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always.](https://reader035.fdocuments.us/reader035/viewer/2022062804/56649e585503460f94b50cd6/html5/thumbnails/11.jpg)
ExamplesExamples2. The table at the right shows
the number of small packs of fruit snacks y per box x. Graph the data. Then find the slope of the line. Explain what the slope represents.Boxes, x 3 5 7
Fruit Snacks, y
12 20 28
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Essential QuestionEssential QuestionHow is rate of change related to
slope?
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