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Bellwork

Bellwork. If 2x + 5y = -20 and x = 0, what is y? What is the slope of the line containing the points (2, 7) and (3, -7)? Orphelia bought x apples. If each apple cost $0.59, write an equation for y, the total cost of x apples. Lesson 3.5. Write and Graph Equations of Lines. Objective.

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Bellwork

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  1. Bellwork • If 2x + 5y = -20 and x = 0, what is y? • What is the slope of the line containing the points (2, 7) and (3, -7)? • Orphelia bought x apples. If each apple cost $0.59, write an equation for y, the total cost of x apples.

  2. Lesson 3.5 Write and Graph Equations of Lines

  3. Objective • Find Equations of Lines

  4. Standard • Prep for 17.0 – Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles

  5. Slope-Intercept Form y = mx + b slope y-coordinate of y-intercept (0, b)

  6. How to graph slope-intercept form • Plot y-intercept (0, b) and apply slope

  7. Example

  8. Example

  9. Practice • Write the equation

  10. The real world?

  11. Standard Form variables Ax + By = C constant coefficients

  12. How to graph in Standard Form 1) Substitute x = 0 to find y-intercept (0, y) 2) Substitute y = 0 to find x-intercept (x, 0) 3) Connect dots with a line

  13. Example Graph 3x + 4y = 12

  14. The real world

  15. Homework • p.184 #1, 2, 3, 9, 11, 17, 23, 33, 45, 61

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