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m Before b ! UNIT 5.06 I can solve any equation for y and put it into slopeintercept form. I can then identify the unit rate and starting point and interpret the equation! Vocabulary Slope-Intercept Form of a Linear Equation: A line on the coordinate plane can be described by the equation y = mx + b, where m is the unit rate and b is the starting point. This is the most common form of a Linear Equation. In order to identify the unit rate and/or the starting point it is easiest if an equation is in this form. But, a lot of times, they are not... WE CAN FIX THAT! y = mx + b Example: 3y = –6 + 18x 3 3 3 y = –2 + 6x All we need to do is isolate y on the left and make sure the x-term is first on the right followed by the constant term. y = 6x - 2 • Find the Slope-Intercept form: _________________ 6 • Find the Unit Rate, m: ____ -2 • Find the Starting Point, b: ____ Let’s Try It! y = mx + b 1) –7 + y = 2 + 5x +7 +7 y = 9 + 5x y = 5x + 9 • Find the Slope-Intercept form: _________________ 5 • Find the Unit Rate: ____ 9 • Find the Starting Point: ____ 2) Let’s Try It! y = mx + b 3x + y = 8x – 6 -3x -3x y = 5x – 6 y = 5x - 6 • Find the Slope-Intercept form: _________________ 5 • Find the Unit Rate: ____ -6 • Find the Starting Point: ____ Let’s Try It! y = mx + b 3) 20x + 5y = 10 -20x -20x 5y = 10 – 20x 5 5 5 y = 2 – 4x y = -4x + 2 • Find the Slope-Intercept form: _________________ -4 • Find the Unit Rate, m: ____ 2 • Find the Starting Point, b: ____ Let’s Try It! y = mx + b 4) 6x – 4y = 8 + 12x -6x -6x -4y = 8 + 6x -4 -4 -4 y = -2 – 3/2x y = -3/2x - 2 • Find the Slope-Intercept form: _________________ -3/2 • Find the Unit Rate, m: ______ -2 • Find the Starting Point, b: ____ Let’s Try It! y = mx + b 5) 9x + y – 7 = 2x + 14 -9x -9x y – 7 = -7x + 14 +7 y +7 Cody found a package of oreo cookies! He LOVES oreo cookies! = -7x + 21 y = -7x + 21 • Find the Slope-Intercept form: _________________ -7 • Find the Unit Rate, m: ______ 21 • Find the Starting Point, b: ____ • Interpret the Linear Equation: __________... Homework Time! 5.07 M BEFORE B WS I can solve any equation for y and put it into slopeintercept form. I can then identify the unit rate and starting point and interpret the equation!