Slope Chapter 7, Lesson 5 Pg. 497

Objective and Vocabulary Find Rates of Change and Slope (same meaning) Relate a constant Rate of Change to Slope Vocabulary Rate of Change Rise Run Slope

Rate of Change A ratio that compares the amount of change in the Dependent Variable (y’s, rise) to the amount of change in the Independent Variable (x’s, run) Table format or between 2 points Remember direction on the axis (change between 2 points) Up and down is positive and negative on the y-axis Right and left is positive and negative on the x-axis

Example #1

Example #2 Finding rates of change from a graph (using 2 points) A - B B - C C - D D - E E - F

Slope of a Line On a straight line, the slope will remain constant for the entire line We still use the same equation Rise Difference in “y” values (point 2 and point 1) Run Difference in “x” values (point 2 and point 1) (stay consistent in direction between pt.2 and pt. 1)

Example of a Straight Line

Find the Slope of the Line? Example #2 pg. 498 in Book Find the Slope of the Line?

Example #3 pg. 499 in Book The table shows the number of pages Garrett has left to read after a certain number of minutes. The points lie on a line. Find the slope of the line. Time (min.) x’s Pages Left y’s 1 12 3 9 5 6 7

4 Types of Slope for a Line 1 - Positive Slope Bottom left to top right y = +mx + b 2 - Negative Slope Top left to bottom right y = -mx + b

4 Types of Slope for a Line 3 - Zero Slope Horizontal Line y = # 4 - Undefined Slope Vertical Line x = #

Greater Slope? The steeper a line is, the greater the slope The greater value (absolute value), the greater the slope

Homework HC: Pg. 503, 14 – 31 RC: Pg. 503, 14 – 23, 26 - 31