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Chapter 5 Notes Writing Linear Equations
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5.1 Writing Linear Equations in Slope – Intercept Form Objective - Use the slope – intercept form to write an equation of a line
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Terms Slope – intercept form
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When given a graph Find the y – intercept and plug it in for b Find the slope form that point and plug it in for m
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Practice Line A m= b= Line B m= b= A B
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Writing the equation of a line Starting with y=mx+b Replace m with the value given for slope. Replace b with the value given for the y – intercept.
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Practice Slope = 1 y – intercept = 0 Slope = ½ y – intercept = -9 Slope = -2/3 y – intercept = -258
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Practice Slope = -6 y – intercept = 3/4 Slope = 0 y – intercept = 4 Slope = -2 y – intercept = 0
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Practice One person form each row get white board materials for your entire row
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5.2 Writing Linear Equations Given the slope and a Point Objective - Use slope and any point on a line to write an equation of the line
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Formulas Slope intercept formula y=mx+b Slope formula
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Writing the equation of a line Starting with the slope formula Plug in the given point for y 1 and x 1 Plug in the given slope Solve and get the answer in y=form
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Practice (1,4) m=3 (3,-3) m = 2
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Practice (4,1) m=1 (1,5) m = 0
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Practice (1,1) m = 4 (4,4) m = 3/2
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Practice One person from each row get white board materials for your entire row
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5.3 Writing Linear Equations Given Two Points Objective - Use slope and any point on a line to write an equation of the line
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Formulas Slope intercept formula y=mx+b Slope formula
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Writing the equation of a line Starting with the slope formula Find the slope between the two points Using the slope formula for the second time Plug in one of the given points for y 1 and x 1 Plug in the slope that you found Solve and get the answer in y=form
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Practice (-1,-2),(2,6) (1,4),(5,-1)
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Practice (-1,-2),(3,-2) (2,0),(-2,6)
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Practice (0,-5),(3,5) (1,1),(1,4)
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Practice (-6,-5),(1,4) (2,3),(4,3)
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Practice One person from each row get white board materials for your entire row
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