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Forms of Slope

Forms of Slope. 6 questions for 10 points. Question #1. y = mx + b is called ____________. (A) Point-slope form (B) Slope intercept form (C) Standard form. Question #2. Ax + By = C is called ___________. (A) Point-slope form (B) Slope intercept form (C) Standard form. Question #3.

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Forms of Slope

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  1. Forms of Slope 6 questions for 10 points

  2. Question #1 • y = mx + b is called ____________. • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  3. Question #2 • Ax + By = C is called ___________. • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  4. Question #3 • Which form is easiest to use when finding the x-intercept of an equation? • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  5. Question #4 • Which form DOES NOT have an m(slope)? • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  6. Question #5 • Which form COULD look like this: y + 3 = -4(x – 5) • (A) Point-slope form • (B) Slope intercept form • (C) Standard form

  7. Question #6 • Given, y = 2x – 7, the -7 represents the ______. • (A) y-intercept • (B) slope • (C) both A and B

  8. Forms of a Line Slope-intercept form Standard form Point-slope form

  9. m = slope b = y-intercept y = mx + b Slope-intercept Form

  10. What is the slope(m) and y-intercept(b) of this equation? y = 7x + 11 Since this already in the right form, m = 7 and b = 11 Slope-intercept Formy = mx + b

  11. What is the slope(m) and y-intercept(b) of this equation? y = 4/5x - 6 Since this already in the right form, m = 4/5 and b = -6 the “y” term is all by itself on the left side of the equation. That is very important! Slope-intercept Formy = mx + b

  12. WHY?If the “y” is not all by itself, then we must first use the rules of algebra to isolate the “y” term.For example in the equation: 2y = 8x + 10 You will notice that in order to get “y” all by itself we have to divide both sides by 2. After you have done that, the equation becomes: y = 4x + 5 Now m = 4 and the y-intercept = 5

  13. 2x – y = 10 -2x -2x -y = -2x + 10 -1 -1 -1 y = 2x + 10 x + 2y = 8 -x -x 2y = -x + 8 2 2 2 y = -1x + 4 2 The Harder Ones! Uh Oh!

  14. WHY SLOPE-INTERCEPT FORM?

  15. 4x + 8y = 16 Find the y-intercept What is x always? It is 0, so 4(0) + 8y = 16 8y = 16 y = 2 So (0, 2) 4x + 8y = 16 Find the x-intercept What is y always? It is 0, so 4x + 8(0) = 16 4x = 16 x = 4 So (4, 0) STANDARD FORM OF A LINE

  16. -3x + 5y = -3 Find the y-intercept What is x always? It is 0, so -3(0) + 5y = -3 5y = -3 y = -3/5 So (0, -3/5) -3x + 5y = -3 Find the x-intercept What is y always? It is 0, so -3x + 5(0) = -3 -3x = -3 x = 1 So (1, 0) STANDARD FORM OF A LINE PRACTICE

  17. WHY STANDARD FORM OF A LINE THIS WILL BE GREAT FOR FINDING BOTH x and y intercepts quickly

  18. Given one point and the slope, you can graph the point and use the slope to determine a second point to graph. y – 1 = ⅘(x – 3) The point would be (3, 1) and the slope would be ⅘. Note: Point-Slope Form is negative!!!!!!!!!! Plot (3,1) rise 4 and run 5 to the point(8,5) Point-Slope Formy – y1 = m(x – x1)

  19. y – 4 = -3(x – 1)

  20. IN CLOSING, You can take any of the forms of a line and change it to another with algebra and some brains! y = 4x – 2

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