The document discusses slope and how to calculate it. It provides examples of slope in building roofs, hiking hills, and graphing linear equations. It emphasizes that slope is rise over run, where rise is the vertical change and run is the horizontal change between two points on a line. Instructions are given to find the slope of a line by taking the vertical and horizontal differences between two points and writing the ratio as a fraction.

1. Warm - up Use 6x-y=7 Solve for y using the x-values to the left. Then graph the linear equation -3 -1 0 2 4 y x

2. 3x-y=7 Use Solve for y using the x-values to the left. Then graph the linear equation -16 -3 -10 -1 -7 0 -1 2 5 4 y x

3. Defining Slope When building a roof, carpenters must figure out the pitch, or slope of the roof. A 1:10 pitch means that for every inch raised, the roof extends 10 inches. 3 in 30 inches

4. What’s the slope of the hill? If a hiker rises 200 feet in elevation every mile, what is the average slope of the mountain?

5. Graphs have slopes. To tell the slope of a line, we need to know how high it rises or sinks and how far it moves left or right. Use Solve for y using the x-values to the left. Then graph the linear equation

6. Slope as an equation. How high the slope rises or sinks is called the rise. How far the slope moves left or right is called the run. IMPORTANT!

7. 1) Find two points on the line. 2) How high does it rise? 3) How far right does it run? 4) Put the numbers into a ratio, or fraction. Let’s find the slope of this line. 3 4