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Mastering Slope: Real-World Examples and Formulas

Learn how to find slope using graphs, tables, and coordinates with real-world examples. Discover the slope formula and solve slope problems step by step. Improve your math skills today!

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Mastering Slope: Real-World Examples and Formulas

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  1. Lesson Menu Main Idea and New Vocabulary Example 1: Real-World Example Example 2: Find Slope Using a Graph or Table Example 3: Find Slope Using a Graph or Table Key Concept: Slope Formula Example 4: Find Slope Using Coordinates Example 5: Find Slope Using Coordinates

  2. Find the slope of a line. • slope • rise • run Main Idea/Vocabulary

  3. Answer: The slope of the ramp is . ACCESS RAMPS The access ramp from the sidewalk to the door of a hotel rises 8 inches for every horizontal change of 96 inches. What is the slope of the access ramp? Definition of slope rise = 8 in., run = 96 in. Simplify. Example 1

  4. A. B. C. D. SKATEBOARDING A skateboard hill falls 10 inchesfor every horizontal change of 14 inches. What isthe slope of the hill? Example 1 CYP

  5. Find Slope Using a Graph or Table PHOTOGRAPHY The graph shows the position of a photograph leaning against a wall. Find the slope of the line. Example 2

  6. Answer: The slope of the line is or –3. or – Find Slope Using a Graph or Table Choose two points on the line. The vertical change is –3 units and the horizontal change is 1 unit. Definition of slope rise = –3, run = 1 Example 2

  7. A.1 B. C.30 D.40 ELEPHANTS The graph shows the bales of hay that an elephant at a zoo eats each week. Find the slope of the line. Example 2 CYP

  8. Find Slope Using a Graph or Table PAINTING The table shows the number of gallons of paint Mrs. Brown used to paint the number of rooms. Find the slope of the line. Then graph it. Example 3

  9. Definition of slope Answer: The slope is . Find Slope Using a Graph or Table Choose two points from the table to find the changes in the x- and y-values. Example 3

  10. A. C. B.D. HUMMINGBIRDS The table shows the number of hummingbird feeders and the amount of nectar used to fill the feeders. Find the slope of the line. Then graph it. Example 3 CYP

  11. Key Concept 4

  12. or 3 Find Slope Using Coordinates Find the slope of the line that passes through A(3, 3) and B(2, 0). Slope formula (x1, y1) = (3, 3) (x2, y2) = (2, 0) Simplify. Example 4

  13. Find Slope Using Coordinates Answer: The slope is 3. CheckWhen going from left to right, the graph of the line slants upward. This is correct for positive slope. Example 4

  14. A. B.–1 C. D. Find the slope of the line that passes through L(4, –1) and M(0, 5). Example 4 CYP

  15. Find Slope Using Coordinates Find the slope of the line that passes through X(−2, 3) and Y(3, 0). Slope formula (x1, y1) = (–2, 3) (x2, y2) = (3, 0) Simplify. Example 5

  16. Answer: The slope is Find Slope Using Coordinates CheckWhen going from left to right, the graph of the line slants downward. This is correct for negative slope. Example 5

  17. A.–2 B. C. D.2 Find the slope of the line that passes through R(1, 8) and S(–2, 2). Example 5 CYP

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