Slope Lesson
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Slope is a measure used to describe the steepness of a line and can be positive, negative, or zero. It is calculated by taking the rise over the run between two points (x1, y1) and (x2, y2) using the formula m = (y2 - y1) / (x2 - x1). The letter m is used to represent slope. Examples are provided to demonstrate calculating slope between two points and to show what a slope of zero or undefined slope would mean.
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Slope Lesson
- 2. Slope is a measure of steepness.
- 3. Types of Slope Positive Negative Zero Undefined or No Slope
- 4. Slope is sometimes referred to as the “ rate of change” between 2 points.
- 5. The letter “m” is used to represent slope.
- 6. When given two points (x 1 ,y 1 ) and (x 2 ,y 2 ), use the formula:
- 7. Find the slope of the line through the points (3,7) and (5, 19). x 1 y 1 x 2 y 2 Example #1:
- 8. Find the slope of the line through the points (3,7) and (5, 19). m = 19 – 7 5 – 3 m = 12 2 m = 6 Example #1 (continued):
- 9. (3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = -6 -9 m = ⅔ Example #2:
- 10. What if the numerator is 0? Then the line has a slope of zero.
- 11. What if the denominator is 0? Then the line has no slope, because division by zero is undefined.
- 12. Tonight’s Homework pg. 321 #1-27 (odd)
- 13. The End