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NM Standards AFG.A.6, AFG.B.3, AFG.B.8, AFG.C.4, AFG.C.7, AFG.C.9, AFG.C.10, AFG.C.12, GT.B.3

NM Standards AFG.A.6, AFG.B.3, AFG.B.8, AFG.C.4, AFG.C.7, AFG.C.9, AFG.C.10, AFG.C.12, GT.B.3. Slope-Intercept Form (of a line). Where m is the slope (in the form of a fraction) b is the y-intercept x & y are points on the line in the form (x, y).

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NM Standards AFG.A.6, AFG.B.3, AFG.B.8, AFG.C.4, AFG.C.7, AFG.C.9, AFG.C.10, AFG.C.12, GT.B.3

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  1. NM Standards AFG.A.6, AFG.B.3, AFG.B.8, AFG.C.4, AFG.C.7, AFG.C.9, AFG.C.10, AFG.C.12, GT.B.3

  2. Slope-Intercept Form(of a line) Where m is the slope (in the form of a fraction) b is the y-intercept x & y are points on the line in the form (x, y)

  3. Answer: The slope-intercept form of the equation of the line is Example 4-1a Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of –3. Slope-intercept form

  4. Your Turn: Write an equation in slope-intercept form of the line with slope of –1 and y-intercept of 4.

  5. Point-Slope Form (of a line) Where: And (x, y) never get replaced.

  6. Write an equation in point-slope form of the line whose slope is that contains (–10, 8). Example 4-2a Point-slope form Simplify. Answer:

  7. Your Turn: Write an equation in point-slope form of the line whose slope is that contains (6, –3).

  8. Example 4-3a Write an equation in slope-intercept form for a line containing (4, 9) and (–2, 0). Find the slope of the line. Slope formula Simplify.

  9. Example 4-3b Now use the slope-intercept form and either point to write an equation. Using (4, 9): Slope-intercept form Solve for b Fill in m & b.

  10. Example 4-3c OR Using (–2, 0): Slope-intercept form (–2, 0) Solve for b Fill in m & b. Answer:

  11. Your Turn Write an equation in slope-intercept form for a line containing (3, 2) and (6, 8). Answer:

  12. Your Turn Write an equation in slope-intercept form for a line containing (-2, 4) and (6, -2). Answer:

  13. Your Turn Write an equation in slope-intercept form for a line containing (-2, 4) and (-2, -2).

  14. Write an equation in slope-intercept form for a line containing (1, 7) that is perpendicular to the line the slope of a line perpendicular to it is 2. Example 4-4a Slope-intercept form Solve for b Fill in m & b.

  15. Your turn: Write an equation in slope-intercept form for a line containing (4, 1) that is perpendicular to the line Answer:

  16. Answer: The total annual cost can be represented by the equation Example 4-5a RENTAL COSTS An apartment complex charges $525 per month plus a $750 security deposit. Write an equation to represent the total annual cost A for r months of rent. For each month of rent, the cost increases by $525. So the rate of change, or slope, is 525. The y-intercept is located where 0 months are rented, or $750. Slope-intercept form

  17. First complex: Second complex: Simplify. Example 4-5b RENTAL COSTS An apartment complex charges $525 per month plus a $750 security deposit. Compare this rental cost to a complex which charges a $200 security deposit but $600 per month for rent. If a person expects to stay in an apartment for one year, which complex offers the better rate? Answer: The first complex offers the better rate: one year costs $7050 instead of $7400.

  18. 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. 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? Example 4-5d Answer: Answer: The first company offers the better rate. Nine days cost $325 instead of $365.

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