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?

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