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Slope Intercept Form

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Slope Intercept Form of an equation gives you a quick way to graph an equation

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Slope Intercept Form The slope-intercept form of a linear equation is y = mx + b Y-intercept Slope

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What are the slope and y intercept? y = 3x - 5 Is the above equation in slope intercept form?How can we put it in slope intercept form? y = 3x – 5 = y = 3x + (-5) Can we now determine the slope? ________ Can we determine the y –intercept? ________ Can we now determine the slope? 3 Can we determine the y –intercept? ________ Can we now determine the slope? 3 Can we determine the y –intercept? -5 y = 3x + (-5) y = mx + b

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Practice : Find the slope & y-intercept y = -2x + 1 y = mx + b (Slope) m = -2 (y-intercept) b = 1

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Practice : Find the slope & y-intercept y = (7/6)x – (3/4) y = (7/6)x + (-3/4) y = mx + b (Slope) m = (7/6) (y-intercept) b = (-3/4)

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Practice : Find the slope & y-intercept y = (-4/5)x y = mx + b (Slope) m = (-4/5) (y-intercept) b = 0

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Writing an Equation Write an equation of the line…… Slope = (-3) Y-intercept = 4 y = mx + b Slope = (-3) Y-intercept = 4 Substitute y = (-3)x + 4

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Writing an Equation Write an equation of the line…… Slope = (3/8) Y-intercept = 6 y = mx + b Slope = (3/8) Y-intercept = 6 Substitute y = (3/8)x + 6

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Can I Develop An Equation? x y 1 3 5 7 9 9 7 5 3 1 What do I need to create an equation of the line? Slope = Y-intercept = Slope = -1 Y-intercept = 8 y = x + 8

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Can I Develop An Equation? Practice x y 1 3 5 7 9 9 7 5 3 1 Step 1: Find the slope Pick two points on the line. (6,2) and (9,1) 2-1 / 6-9 = - 1 / 3 Step 2: Find y-intercept Step 3: Substitute y = (-1/3)x + 4

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Graphing Equations Graph y = 3x - 1 What information can we pull from the above equation? Can you use that information to graph the equation? Try it!! x y 1 3 5 7 9 9 7 5 3 1

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Graphing Equations Graph y = (3/2)x + 1 x y 1 3 5 7 9 9 7 5 3 1

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Questions?

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