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Equations of Lines. Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of –3. Then graph the line. Slope and y-intercept.

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Presentation on theme: "Equations of Lines. Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of –3. Then graph the line. Slope and y-intercept."— Presentation transcript:

1 Equations of Lines

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

3 Slope and y-intercept Answer: Plot a point at the y-intercept, –3. Use the slope of 6 or to find another point 6 units up and 1 unit right of the y-intercept. Draw a line through these two points.

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

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

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

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

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

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

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

12 Write Equations of Parallel or Perpendicular Lines

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.

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?

16 A.C = 25 + d + 100 B.C = 125d C.C = 100d + 25 D.C = 25d + 100 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.

17 A.first company B.second company C.neither D.cannot be determined 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?


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