5-1 Rate of Change and Slope

Rate of Change: shows the relationship between two changing quantities 𝑟𝑎𝑡𝑒 𝑜𝑓 𝑐ℎ𝑎𝑛𝑔𝑒= 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑡ℎ𝑒 𝑦 𝑣𝑎𝑙𝑢𝑒𝑠 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑡ℎ𝑒 𝑥 𝑣𝑎𝑙𝑢𝑒𝑠

Problem 1: Finding Rate of Change Using a Table

Problem 2: Finding Slope Using a Graph What is the slope of each line?

What is the slope of each line?

The Slope Formula

Problem 3: Finding Slope Using Points

Problem 4: Finding Slopes of Horizontal and Vertical Lines

Without graphing, tell whether the slope of a line that models each linear relationship is positive, negative, zero, or undefined. Then find the slope. The cost of a pair of jeans is $22.50 for 1 pair and $67.50 for 3 pairs.

Without graphing, tell whether the slope of a line that models each linear relationship is positive, negative, zero, or undefined. Then find the slope. An employee earns $28.50 after 3 hours and $237.50 after 25 hours.