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.

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Presentation transcript:

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 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 measure? Slope measures ______________________________.

What are the different types of slope? ________ _________

What are the different types of slope? (continued) _________

TAKING SLOPE A STEP FURTHER THE SLOPE TELLS HOW STEEP THE LINE IS

Formulas to find slope Slope = RISE RUN Vertical Change Horizontal Change = Change in y Change in x

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.

Examples 1. Graph the data about plant height for a science fair project. Then find the slope of the line. Explain what the slope represents. WeekPlant Height (centimeters) Slope = Change in y/ Change in x

Examples 2. 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, x357 Fruit Snacks, y122028

Essential Question How is rate of change related to slope? _______________________________ _______________________________ _______________________________ _______________________________ _______________________________