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Homework for 5-4

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Point-Slope Form: y - y1 = m(x - x1) Use when have two points or one point and the slope ... T-shirts at a flea market cost $4.50 each and shorts cost $6 each. ... – PowerPoint PPT presentation

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Title: Homework for 5-4


1
Homework for 5-4
  • p. 314 1-4, 15, 18, 21, 22, 31, 34, 38, 41, 46,
    48

2
5-4 Linear Equations in Standard Form
  • Objective write linear equations in standard
    form

3
Forms of Linear Equations
  • Slope-Intercept Form y mx b
  • Use when have slope y-intercept
  • Point-Slope Form y - y1 m(x - x1)
  • Use when have two points or one point and the
    slope
  • Standard Form Ax By C
  • A and B not both zero
  • All linear equations can be written this way
  • Not the most convenient form, but it will prove
    helpful down the road!

4
Equivalent Equations
  • Write two equations in standard form that are
    equivalent to x 4y 3.
  • Ex -2x 8y -6
  • Ex 3x 12y 9
  • These lines are simply multiples of the original
    and have the same slope and y-intercept as the
    original.

5
Equations from Graphs
y 2 x -3
2x y 6
6
Find the Missing Coefficient!
Ax 4y 6 3x 4y 6
7
Flea Market Finds
  • T-shirts at a flea market cost 4.50 each and
    shorts cost 6 each. You have enough money to
    buy exactly 12 T-shirts and 9 pairs of shorts.
  • Write an equation in standard form that models
    the possible combinations of T-shirts and shorts
    you can buy.
  • 4.5t 6s 108

8
Flea Market Finds
  • T-shirts at a flea market cost 4.50 each and
    shorts cost 6 each. You have enough money to
    buy exactly 12 T-shirts and 9 pairs of shorts.
  • Graph the equation.
  • c. List several combinations.
  • 0 shirts 18 shorts
  • 8 shirts 12 shorts
  • 24 shirts 0 shorts
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