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Chapter 3.4

Equations of Lines. Chapter 3.4. Slope and y -intercept. Write an equation in slope-intercept form of the line with slope of 6 and y -intercept of –3. Then graph the line. y = m x + b Slope-intercept form y = 6 x + ( –3 ) m = 6, b = –3 y = 6 x – 3 Simplify.

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Chapter 3.4

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  1. Equations of Lines Chapter 3.4

  2. Slope and y-intercept Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of –3. Then graph the line. y = mx + b Slope-intercept form y = 6x + (–3) m = 6, b = –3 y = 6x – 3 Simplify.

  3. Use the slope of 6 or to findanother point 6 units up and1 unit right of the y-intercept. Slope and y-intercept Answer: Plot a point at the y-intercept, –3. Draw a line through these two points.

  4. Write an equation in slope-intercept form of the line with slope of –1 and y-intercept of 4. A.x + y = 4 B.y = x – 4 C.y = –x – 4 D.y = –x + 4

  5. Write an equation in slope-intercept form of the linewhose slope is that contains (–10, 8). Then graph the line. Slope and a Point on the Line Example 2

  6. Two Points A. Write an equation in slope-intercept form for a line containing (4, 9) and (–2, 0). Slope formula Example 3

  7. Two Points B.Write an equation in slope-intercept form for a line containing (–3, –7) and (–1, 3). Slope formula Example 3

  8. A. B. C. D. A. Write an equation in slope-intercept form for a line containing (3, 2) and (6, 8).

  9. A. B. C. D. Write an equation of the line through (–3, 6) and (9, –2) in slope-intercept form.

  10. Concept

  11. Horizontal Line Write an equation of the line through (5, –2) and (0, –2) in slope-intercept form. Example 4

  12. Write Equations of Parallel or Perpendicular Lines Example 5

  13. A.y = 3x B.y = 3x + 8 C.y = –3x + 8 D.

  14. Write Linear Equations RENTAL COSTS An apartment complex charges $525 per month plus a $750 annual maintenance fee. A. Write an equation to represent the total first year’s cost A for r months of rent. Example 6

  15. Write Linear Equations RENTAL COSTS An apartment complex charges $525 per month plus a $750 annual maintenance fee. B. Compare this rental cost to a complex which charges a $200 annual maintenance fee but $600 per month for rent. If a person expects to stay in an apartment for one year, which complex offers the better rate? Example 6

  16. RENTAL COSTS A car rental company charges $25 per day plus a $100 deposit. A. Write an equation to represent the total cost C for d days of use. A.C = 25 + d + 100 B.C = 125d C.C = 100d + 25 D.C = 25d + 100

  17. RENTAL COSTS A car rental company charges $25 per day plus a $100 deposit.B. Compare this rental cost to a company which charges a $50 deposit but $35 per day for use. If a person expects to rent a car for 9 days, which company offers the better rate? A. first company B. second company C. neither D. cannot be determined

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