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3.4 (Day 1) Linear Equations
Today’s Date: 11/6/17
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Forms of Linear Equations
Standard Form: - No Fractions & A is positive Slope-Intercept Form: m is slope b is y-intercept: (0, b) Point-Slope Form: m is slope is point on line Need to calculate slope
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Ex 1) Find an equation of the line with slope -2 & passes through (-1, 4) & Draw Graph
y x (-1, 4) Graph point (-1, 4) Move slope (Down 2, Right 1 OR Up 2, Left 1)
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Ex 2) Find an equation of the line with
slope 3 & y-intercept -2 & Draw Graph y x Graph y-intercept (0, -2) Move slope (Up 3, Right 1 OR Down 3, Left 1) (0, -2) If want Standard Form:
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3.4 (Day 2) Linear Functions
Today’s Date: 11/6/17
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Use slope = 4/3 and point (0, 4) and plug into slope formula
Ex 3) Find an equation, in Standard Form, of the line with x-int –3 & y-int 4 x-int: (–3, 0) y-int: (0, 4) Use slope = 4/3 and point (0, 4) and plug into slope formula
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Parallel & Perpendicular Lines
║ Parallel lines have SAME slope ┴ Perp lines have Opposite Reciprocal slopes
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Ex 4) Find an eqtn in Point-Slope Form of the line through (–7, 2) and
perpendicular to –2x + 3y = 7 Find slope of –2x + 3y = 7: ┴ slope:
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Find slope of 9x – 7 = 3y: m = 3 ║ slope = 3 & y-int 5 = b y = mx + b
Ex 5) Find eqtn in Slope-Intercept form of the line with y-int 5 and parallel to 9x – 7 = 3y Find slope of 9x – 7 = 3y: m = 3 ║ slope = 3 & y-int 5 = b y = mx + b y = 3x + 5
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Ex 6) Piecewise Function (broken line)
Draw the graph of: It’s a function, it passes the vertical line test y x then erase right of 2 then erase left of 2
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It’s only going thru the x-axis
Ex 7) T.O.O. Find an equation in Standard Form of the line through (5, 7) & slope is undefined OR (5, 7) Undefined It’s only going thru the x-axis x = 5
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Homework Due 11/8 Wednesday #306 Pg. 186 46 – 64 even
Pg – 7 odd #307 Pg – 39 odd Due 11/8 Wednesday Homework HW 306 & 307
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