1 / 33

400

400. Tell whether the relation is a function. {(-1, 5), (-3, 2), (2, 0), (1, 2)} Evaluate: f(x) = 2x 2 – 4 when x = -3 Find the slope: (5, -1) and (7, -1) Tell whether the lines are parallel, perpendicular, or neither. Line 1 : (-1, 6) and (2, 8) Line 2 : (3, 2) and (1, 5).

karleigh-walls
Download Presentation

400

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 400

  2. Tell whether the relation is a function. {(-1, 5), (-3, 2), (2, 0), (1, 2)} Evaluate: f(x) = 2x2 – 4 when x = -3 Find the slope: (5, -1) and (7, -1) Tell whether the lines are parallel, perpendicular, or neither. Line 1: (-1, 6) and (2, 8) Line 2: (3, 2) and (1, 5) Warm up Yes 14 m = 0 m = 2/3 m = -3/2 perpendicular

  3. Writing Equations of Lines

  4. How can you find an equation of a line given the slope and the y intercept of the line? Given the slope and a point on the line? Given two points on the line? Essential Question

  5. I. How to Write an Equation of a LineGiven m and b 1. Write down y = mx + b 2. Substituteslope for m and y-intercept for b. 3. Simplify the equation

  6. Write the equation of the line given m and b. Ex. 1 Slope is -5 and y-intercept is 2 y = -5x + 2 Ex. 2 Slope is -1/2 and y-intercept is -2 y = -½x – 2

  7. Write the equation of the line given m and b. Ex. 3 Slope is 0 and y-intercept is 3 y = 3 Ex. 4 Slope is 1/3 and y-intercept is 0

  8. II. How to Write an Equation of a Line Given a Graph Write down y = mx + b Use any 2 “good” points on the graph to find the slope, m. Find the y-intercept on the graph, b. Substituteslope for m and y-int for b into the equation y = mx + b.

  9. 5. Write the equation of this graph  

  10. 6. Write the equation of this graph  

  11. 7. Write the equation of this graph   y = -3x + 2

  12. 8. Write the equation of this graph   y = 2x

  13. 9. Write the equation of this graph   y = 3

  14. 10. Write the equation of this graph x = - 6

  15. 11. & 12. Write the equation of each graph     y = 2x – 3 y = -3/2x + 3

  16. III. How to Write an Equation of a Line Given m and a point Write down y = mx + b. Substitute slope for m and the point (x, y). Solve for b. Substitute m and b back into the equation.

  17. Write the equation of the line given m and a point Ex 13: m = 2 Point: (2, 3) y = mx + b 3 = 2 (2) + b b = -1 y = 2x – 1

  18. Write the equation of the line given m and a point Ex 14: m = 1/2 Point: (4,-3) y = mx + b -3 = 1/2 (4) + b b = -5 y = ½ x – 5

  19. Write the equation of the line given m and a point Ex 15: m = -2 Point: (-5, 3) y = mx + b 3 = -2 (-5) + b b = -7 y = -2x – 7

  20. Write the equation of the line given m and a point Ex: 16 m = 4 (1,4) y = 4x

  21. Write the equation of the line given m and a point Ex: 17 m = ½ (-1,-2) y = ½ x – 1 ½

  22. Write the equation of the line given m and a point Ex: 18 m = 2 (0,3) y = 2x + 3

  23. Write the equation of the line given m and a point Ex: 19 m = 3 (3,0) y = 3x – 9

  24. Write the equation of the line given m and a point Ex: 20 m = undefined (3,6) x = 3

  25. IV. How to Write an Equation of a Line Given TWO points Write down y = mx + b. Use the slope formula to find m. Pick one of the ordered pairs & substitute slope for m and the point (x, y). Solve for b. Substitute m and b into the equation.

  26. Equation of a Line - Given 2 points Ex: 21 (2, 3) (4, 5) y = mx + b 3 = 1(2) + b b = 1 y = x + 1

  27. Equation of a Line - Given 2 points Ex: 22 (2, 3) (-4, 15) y = -2x + 7

  28. Equation of a Line - Given 2 points Ex: 23 (2, 2) (0, 4) y = -x + 4

  29. Equation of a Line - Given 2 points Ex: 24 (2,3) (1,4) y = -x + 5

  30. Equation of a Line - Given 2 points Ex: 25 (4,5) (5,2) y = -3x + 17

  31. Classwork Worksheet – 18 Problems Write the equation given slope and a point

  32. Homework Worksheet – 10 problems Given 2 points write the equation of the line

More Related