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Algebra 5.4

5.4 The Slope Formula. Algebra 5.4. Learning Targets. Language Goal Students will be able to verbally explian how to find slope. Math Goal Students will be able to find slope using the slope formula. Essential Questions What is the important information we can get from finding the slope?.

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Algebra 5.4

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  1. 5.4 The Slope Formula Algebra 5.4

  2. Learning Targets Language Goal • Students will be able to verbally explian how to find slope. Math Goal • Students will be able to find slope using the slope formula. Essential Questions • What is the important information we can get from finding the slope?

  3. 5.4 Warm-up

  4. 5.3 Homework Check

  5. 5.3 Homework Check

  6. Slope Formula • The letter m represents slope! • Need: Two points on a line to determine slope • Formula:

  7. Example 1: Positive Slope Rises • Find the slope of a line passing through(-3, 0) and (-1, 6)

  8. Example 2: Negative Slope Falls Find the slope of the line passing through (-2, 1) and (1, -3)

  9. Example 3: Positive or Negative? Find the slope of the line passing through (5, 0) and (0, 2)

  10. Example 4: Zero Slope (Horizontal) Find the slope of the line passing through (-1, -3) and (5, -3)

  11. Example 5: Undefined Slope (Vertical) Find the slope of the line passing through (0, -1) and (0, 4)

  12. Notecard Slope • On your notecard write an ordered pair (x, y). • Your x and y coordinate may contain any number between -10 and 10. • Fractions are allowed too. • Once it is written on your notecard wait until further instructions.

  13. Notecard Slope • You will partner with someone in the class • Use your two points to determine the slope of the line. • Once you have found your slope determine whether your slope is positive, negative, no slope or undefined. • We will rotate as a class.

  14. Example 6: Given Slope, find y –coordinate Find the vale of y so that the line passing through the points (-3, y) and (1, 5) has a slope of -2.

  15. Example 7: Given Slope, find y –coordinate Find the vale of y so that the line passing through the points (3, y) and (5, 8) has a slope of 2.

  16. Example 8: Finding Slope from Tables • First, use the table to write two ordered pairs. • Then, use those two points to calculate slope using the slope formula.

  17. Example 8: Finding Slope from Tables Find two ordered pairs from the table. Use the ordered pairs to calculate slope.

  18. Example 8: Finding Slope from Tables Find two ordered pairs from the table. Use the ordered pairs to calculate slope.

  19. Example 8: Finding Slope from Tables Find two ordered pairs from the table. Use the ordered pairs to calculate slope.

  20. Example 9: Finding Slope from an Equation • Step 1: Find the x – intercept • Step 2: Find the y – intercept • Step 3: Use the slope formula

  21. Example 9: Finding Slope from an Equation • Find the slope of the line described by

  22. Example 9: Finding Slope from an Equation • Find the slope of the line described by

  23. Whiteboards with LQ • Pass out Whiteboards or students can do in notebook. • Go over as a class.

  24. 5.4 Lesson Quiz

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