SLOPE SLOPE Section 1.8
Jan 16, 2016
SLOPESLOPESection 1.8
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.
What does slope What does slope measure?measure?Slope measures
______________________________.
What are the different types What are the different types of slope?of slope?________ _________
What are the different types What are the different types of slope? (continued)of slope? (continued)_________ _________
TAKING SLOPE A STEP TAKING SLOPE A STEP FURTHERFURTHER
THE SLOPE TELLS HOW THE SLOPE TELLS HOW STEEP THE LINE ISSTEEP THE LINE IS
Formulas to find slopeFormulas to find slope
Slope = RISERUN
Vertical ChangeHorizontal
Change
=Change in yChange in x
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.
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
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
Essential QuestionEssential QuestionHow is rate of change related to
slope?
___________________________________________________________________________________________________________________________________________________________