5 1 Rate of Change Slope Essential Question

5. 1 Rate of Change & Slope Essential Question: How do you find rates of change or slope from tables and graphs? ? ? ?

Vocabulary • A rate of change is a ratio that compares the amount of change of a dependent variable to the independent variable. • Slope: the steepness of a line described by rate of change of y and x. ? ? ?

Rates of Change ? ? ?

Example 1 and Practice 1 ? ? ?

Example 2 & Practice 2 ? ? ?

What is slope? ? ? ?

What does slope look like? • There are four types of slope that describe the rate of change. • Using this will help you check your work and describe your linear equation. ? ? ?

Describing Slope -EX • Tell whether the slope of each line is positive, negative, zero, or undefined. ? ? ?

Finding Slope from a Graph-Ex • To find the slope from a graph, 1) Pick any two points on the line. 2) Count RISE over RUN and simplify ? ? ?

Practice • Name the type of slope and find the slope. ? ? ?

Special Cases ? ? ?

Practice • Find the slope of each line. ? ? ?

Slope Formula • If you do not have a graph, but want to find the slope, you can use two points in the slope formula. 1) Substitute in both points 2) Subtract and simplify ? ? ?

Slope Formula-EX ? ? ?

Practice ? ? ?

Summary • Answer the essential question in detailed, complete sentences. • How do you find rates of change or slope from tables and graphs? • Write 2 -4 study questions in the left column to correspond with the notes. ? ? ?