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Published byBritton Shepherd Modified over 9 years ago
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Rate of Change and Slope
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Quick Preview The diagram at the right shows the side view of a ski lift. 1.What is the vertical change from: a. A to B? b.B to C? c.C to D? 2.What is the horizontal change from: a.A to B? b.B to C? c.C to D
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Rate of Change 5. What is the rate of change for the data to the left? 6. What does the rate of change mean in practical terms? How much the _____ (Y) increases per ____ (X)
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The Magnum Cedar Point, OH Ghost Rider Knott’s Berry Farm Xcelerator Knott’s Berry Farm Superman 6 Flags Magic Mountain Son of Beast King’s Island, OH How steep is the steepest roller coaster? These are completely vertical!
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Imagine a roller coaster moving from LEFT to RIGHT
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There are four different kinds of slope the coaster could encounter...
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And 2 Special Cases… The zero-fun totally lame snoopy coaster The impossibly scary totally awesome top thrill dragster coaster
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Aw! That’s zero fun!
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That’s a really scary coaster, so the slope is…
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For the following slides, state whether the slope is positive, negative, zero, or undefined on your paper
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7. positive, negative, zero, or undefined?
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8. positive, negative, zero, or undefined?
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9. positive, negative, zero, or undefined?
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How do you calculate the slope of a line? 1. Pick two points on the line 2. Calculate “rise over run” (be sure to put a negative if it’s going to the left)
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Start with 2 points on gridline intersections
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How do you calculate the slope of a line? Vertical change (∆Y) Horizontal change (∆X) OR... Rise Run m = M = Rise Run
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11. Find the slope of the following Graph: +
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12. Find the slope of the following Graph:
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Slope Formula Example: Given (5, -3) and (-4, 2), find the slope of the line. x1x1 y1y1 x2x2 y2y2 12. Given (0, -2) and (4, -2), find the slope of the line.
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