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Lesson 42 Writing Equations in SlopeIntercept Form with answers.notebook November 06, 2014 Questions/Main Ideas Lesson 42 Writing Equations in SlopeIntercept Form Given the Slope and One Point 1. substitute the values of m, x, and y into the slope intercept form and solve for b. 2. Write the slopeintercept form using the values of m and b. Questions/Main Ideas Practice Problems 1. (5, 2), m = 3 2. (5, 4), m = 5 3. (3, 1), m = 2 3 4. (3, 0), m = 2 1 Lesson 42 Writing Equations in SlopeIntercept Form with answers.notebook November 06, 2014 Questions/Main Ideas Given Two Points 1. Find the slope. 2. Choose one of the two points to use for x and y. 3. Follow the steps for writing an equation given the slope and one point. Questions/Main Ideas Practice Problems 1. (4, 2), (2, 4) 2. (1, 3), (2, 3) 2 Lesson 42 Writing Equations in SlopeIntercept Form with answers.notebook November 06, 2014 Questions/Main Ideas Practice Problems 3. (7, 2), (4, 2) 4. (1, 1), (7, 4) Questions/Main Ideas constraint a condition that a solution must satisfy Example During one year, Malik's cost for selfserve regular gasoline was $3.20 on the first of June and $3.42 on the first of July. Write a linear equation to predict Malik's cost of gasoline the first of any month during the year, using 1 to represent January. 3 Lesson 42 Writing Equations in SlopeIntercept Form with answers.notebook November 06, 2014 Questions/Main Ideas linear extrapolation the process of using linear equations to make predictions about values beyond the range of data Example On average, Malik uses 25 gallons of gasoline per month. He budgeted $100 for gasoline in October. Use the prediction equation in the previous example to determine if Malik will have to add to his budget. Explain. 4 Lesson 42 Writing Equations in SlopeIntercept Form with answers.notebook November 06, 2014 5 Lesson 42 Writing Equations in SlopeIntercept Form with answers.notebook November 06, 2014 6