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Slope of a Line

Slope of a Line. A brief tutorial on how to determine the slope of a line when given the coordinates of two points on the line. Slope. Remember that the slope of any line is how much it is slanted and in which direction it slants. Next . Repeat section. Slope.

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Slope of a Line

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  1. Slope of a Line A brief tutorial on how to determine the slope of a line when given the coordinates of two points on the line

  2. Slope Remember that the slope of any line is how much it is slanted and in which direction it slants. Next Repeat section

  3. Slope Remember that the slope of any line is how much it is slanted and in which direction it slants. A line that slants up is said to have positive slope. Next Repeat section

  4. Slope Remember that the slope of any line is how much it is slanted and in which direction it slants. A line that slants up is said to have positive slope. A line that slants down is said to have negative slope. Next Repeat section

  5. Slope Remember that the slope of any line is how much it is slanted and in which direction it slants. A line that slants up is said to have positive slope. A line that slants down is said to have negative slope. A horizontal line is said to have zero slope. Next Repeat section

  6. Slope Remember that the slope of any line is how much it is slanted and in which direction it slants. A line that slants up is said to have positive slope. A line that slants down is said to have negative slope. A horizontal line is said to have zero slope. A vertical line is said to have undefined slope. Next Repeat section

  7. You’ve completed the section reviewing slope. Before we move on to Section 2 (yep, that was Section 1), let’s take some time to answer a couple of questions to be sure you’re A-OK with Section 1. Just click on the answer choice you think is correct. Next Repeat section

  8. Question #1 • The slope of the line on the right is said to be A. undefined B. positive C. negative D. zero

  9. undefined Sorry, this in incorrect. A line with an undefined slope is a vertical line. Try Again View Section 1 Tutorial Go to Section 2 Tutorial Go to Question 2

  10. B. positive CORRECT!!! A line with a positive slope slants upward. View Section 1 Tutorial Go to Section 2 Tutorial Go to Question 2

  11. C. negative Sorry, this in incorrect. A line with a negative slope slants downward. Try Again View Section 1 Tutorial Go to Section 2 Tutorial Go to Question 2

  12. D. zero Sorry, this in incorrect. A line with a zero slope is a horizontal line. Try Again View Section 1 Tutorial Go to Section 2 Tutorial Go to Question 2

  13. Question #2 • The slope of the line on the right is said to be A. undefined B. positive C. negative D. zero

  14. undefined Sorry, this in incorrect. A line with an undefined slope is a vertical line. Try Again View Section 1 Tutorial Go to Section 2 Tutorial

  15. B. positive Sorry, this is incorrect. A line with a positive slope slants upward. Try Again View Section 1 Tutorial Go to Section 2 Tutorial

  16. C. negative CORRECT!!! A line with a negative slope slants downward. View Section 1 Tutorial Go to Section 2 Tutorial

  17. D. zero Sorry, this in incorrect. A line with a zero slope is a horizontal line. Try Again View Section 1 Tutorial Go to Section 2 Tutorial

  18. Finding Slope From Two Points If given the coordinates of two points, you can find the slope of the line that connects the two points using y2 – y1 m = x2 – x1 Next Repeat section

  19. Finding Slope From Two Points If given the coordinates of two points, you can find the slope of the line that connects the two points using y2 – y1 m = x2 – x1 This is called the “slope formula”. The letter “m” is the symbol used for slope. Next Repeat section

  20. Finding Slope From Two Points Find the slope of the line passing through points (6,8) ( 3 , 2 ) and ( 6 , 8 ) (3,2) y2 – y1 m = x2 – x1 Next Repeat section

  21. Finding Slope From Two Points Find the slope of the line passing through points (6,8) ( 3 , 2 ) and ( 6 , 8 ) (3,2) x1 y1 x2 y2 y2 – y1 m = x2 – x1 – m = – Next Repeat section

  22. Finding Slope From Two Points Find the slope of the line passing through points (6,8) 3 2 6 8 ( 3 , 2 ) and ( 6 , 8 ) (3,2) x1 y1 x2 y2 y2 – y1 m = x2 – x1 – m = – Next Repeat section

  23. Finding Slope From Two Points Find the slope of the line passing through points (6,8) 3 2 6 8 ( 3 , 2 ) and ( 6 , 8 ) (3,2) x1 y1 x2 y2 y2 – y1 m = x2 – x1 6 m = 3 Next Repeat section

  24. Finding Slope From Two Points Find the slope of the line passing through points (6,8) 3 2 6 8 ( 3 , 2 ) and ( 6 , 8 ) (3,2) x1 y1 x2 y2 y2 – y1 m = x2 – x1 6 2 m = = 3 Next Repeat section

  25. Finding Slope From Two Points Find the slope of the line passing through points (6,8) 3 2 6 8 ( 3 , 2 ) and ( 6 , 8 ) (3,2) x1 y1 x2 y2 y2 – y1 m = x2 – x1 6 2 m = = The line slants up. 3 Next The slope is positive Repeat section

  26. Finding Slope From Two Points What if the line is slanting in the other direction? y2 – y1 m = x2 – x1 Next Repeat section

  27. Finding Slope From Two Points Find the slope of the line passing through points (-5,7) -2 ( -5 , 7 ) and ( , 3 ) (-2,3) y2 – y1 m = x2 – x1 Next Repeat section

  28. Finding Slope From Two Points Find the slope of the line passing through points (-5,7) -2 ( -5 , 7 ) and ( , 3 ) (-2,3) x1 y1 x2 y2 y2 – y1 m = x2 – x1 – m = – Next Repeat section

  29. Finding Slope From Two Points Find the slope of the line passing through points (-5,7) -2 ( -5 , 7 ) and ( , 3 ) (-2,3) x1 y1 x2 y2 y2 – y1 m = x2 – x1 – m = – Next Repeat section

  30. Finding Slope From Two Points Find the slope of the line passing through points (-5,7) -2 ( -5 , 7 ) and ( , 3 ) (-2,3) x1 y1 x2 y2 y2 – y1 m = x2 – x1 -4 m = 3 Next Repeat section

  31. Finding Slope From Two Points Find the slope of the line passing through points (-5,7) -2 ( -5 , 7 ) and ( , 3 ) (-2,3) x1 y1 x2 y2 y2 – y1 m = x2 – x1 -4 4 m = = The line slants down. 3 3 Next Repeat section The slope is negative

  32. Now what kind of lesson would this be if you didn’t have to answer some questions? Just click on the answer choice you think is correct. Ready? Let’s Go! Next Repeat section

  33. Question #3 • Using the coordinates (6,5) and (2,-3), the slope of the line on the right is A. -2 B. 1/2 C. 2 D. 1/4 (6,5) (2,-3)

  34. -2 Sorry, this in incorrect. A line with a negative slopes downward. (6,5) (2,-3) Try Again View Section 2 Tutorial Go to Question 4

  35. B. ½ Sorry, this is incorrect. The “y” coordinates are in the numerator of the slope formula. (6,5) (2,-3) Try Again View Section 2 Tutorial Go to Question 4

  36. C. 2 CORRECT!! (6,5) (2,-3) View Section 2 Tutorial Go to Question 4

  37. D. 1/4 Sorry, this in incorrect. You must SUBTRACT the coordinates in the slope formula. (6,5) (2,-3) Try Again View Section 2 Tutorial Go to Question 4

  38. Question #4 • Using the coordinates (-2,3) and (3,-2), the slope of the line on the right is A. 1 B. 0 C. -1 D. 5 (-2,3) (3,-2)

  39. 1 Sorry, this in incorrect. A line that slopes downward has a negative slope. (-2,3) (3,-2) Try Again View Section 2 Tutorial

  40. B. 0 Sorry, this is incorrect. A line with a zero slope is a horizontal line. (-2,3) (3,-2) Try Again View Section 2 Tutorial

  41. C. 1 CORRECT!!! (-2,3) (3,-2) Continue to the next section.

  42. D. 5 Sorry, this in incorrect. You must use both the “x” and “y” coordinates in the slope formula. (-2,3) (3,-2) Try Again View Section 2 Tutorial

  43. Some Simple Keys to Remember Next Repeat section

  44. Some Simple Keys to Remember • It doesn’t matter which point you pick for x1y1 or x2y2. Next Repeat section

  45. Some Simple Keys to Remember • It doesn’t matter which point you pick for x1y1 or x2y2. • If “m” is positive the line slants up. Next Repeat section

  46. Some Simple Keys to Remember • It doesn’t matter which point you pick for x1y1 or x2y2. • If “m” is positive the line slants up. • If “m” is negative the line slants down. Next Repeat section

  47. Some Simple Keys to Remember • It doesn’t matter which point you pick for x1y1 or x2y2. • If “m” is positive the line slants up. • If “m” is negative the line slants down. • If the numerator of “m” is 0, it’s a horizontalline (zero slope). Next Repeat section

  48. Some Simple Keys to Remember • It doesn’t matter which point you pick for x1y1 or x2y2. • If “m” is positive the line slants up. • If “m” is negative the line slants down. • If the numerator of “m” is 0, it’s a horizontalline (zero slope). • If the denominator of “m” is 0, it’s a vertical line (undefined). Next Repeat section

  49. Some Simple Keys to Remember • It doesn’t matter which point you pick for x1y1 or x2y2. • If “m” is positive the line slants up. • If “m” is negative the line slants down. • If the numerator of “m” is 0, it’s a horizontalline (zero slope). • If the denominator of “m” is 0, it’s a vertical line (undefined). • The larger “m” is, the steeper (or more slanty) the line. End Repeat section

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