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# 5 2slope

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### 5 2slope

1. 1. Warm - up <ul><li>Use 6x-y=7 </li></ul><ul><li>Solve for y using the x-values to the left. </li></ul><ul><li>Then graph the linear equation </li></ul>-3 -1 0 2 4 y x
2. 2. 3x-y=7 <ul><li>Use </li></ul><ul><li>Solve for y using the x-values to the left. </li></ul><ul><li>Then graph the linear equation </li></ul>-16 -3 -10 -1 -7 0 -1 2 5 4 y x
3. 3. Defining Slope <ul><li>When building a roof, carpenters must figure out the pitch, or slope of the roof. </li></ul><ul><li>A 1:10 pitch means that for every inch raised, the roof extends 10 inches. </li></ul>3 in 30 inches
4. 4. What’s the slope of the hill? <ul><li>If a hiker rises 200 feet in elevation every mile, what is the average slope of the mountain? </li></ul>
5. 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. <ul><li>Use </li></ul><ul><li>Solve for y using the x-values to the left. </li></ul><ul><li>Then graph the linear equation </li></ul>
6. 6. Slope as an equation. <ul><li>How high the slope rises or sinks is called the rise. </li></ul><ul><li>How far the slope moves left or right is called the run. </li></ul><ul><li>IMPORTANT! </li></ul>
7. 7. <ul><li>1) Find two points on the line. </li></ul><ul><li>2) How high does it rise? </li></ul><ul><li>3) How far right does it run? </li></ul><ul><li>4) Put the numbers into a ratio, or fraction. </li></ul>Let’s find the slope of this line. 3 4