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Drill #63 Write a direct variation equation that relates x to y. Assume that y varies directly as x. Then solve. 1. If y = 8 when x = 2, find x when y = 26. 2.If y = 2 when x = -1, find y when x = 20. 3. If y = ½ when x = ¾, find x when y = 6. 4. If y = -2 when x = 8, find y when x = 24.
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Drill #64 Write a direct variation equation that relates x to y. Assume that y varies directly as x. Then solve. 1. If y = ½ when x = ¼, find x when y = 6. 2.If y = -2 when x = -6, find y when x = 9. Graph the following direct variation equations. 3. y = -3x 4. y = ¾ x
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Drill #65 A.Identify the slope (m) and the y-intercept (b) of each equation. B.Graph each equation 1. y = 3x + 2 2. y = - ¾ x – 1 3.y = ¼ x 4.y = 2
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4-3 Graphing Equations in Slope Intercept Form Objective: Write and graph linear equations in slope intercept form, and model real-world data with an equation in slope-intercept form Pg. 204
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(1.) Slope-Intercept Form** Definition: An equation in the form of y = mx + b m = slope b = y –intercept
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Write an Equation Given the Slope and Y-intercept* To write an equation of a line given the slope and the y- intercept substitute the slope (m) and the y- intercept (b) into the equation y = mx + b Ex1: 1: Classwork: 4-3 Study Guide #1-3
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Write an Equation From a Graph* To write an equation given a graph: 1. Find the slope (m) of the line. 2. Identify the y-intercept (b) 3. Substitute m and b into the equation y = mx + b Ex2: 2: Classwork: 4-3 Study Guide #4-6
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Graphing Equations in Slope- Intercept Form* To graph an equation in slope-intercept form: 1. Plot the y-intercept (b) on the y- axis 2. Use the slope (m) to plot a second point 3. Connect the dots (and draw arrows) Ex3a,b: 3. Classwork: 4-3 Study Guide #7-9
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Standard Form to Slope Intercept Form How do you graph: 3x + 2y = 4?
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Standard Slope Intercept* To convert an equation from standard form to slope intercept: 1. Subtract the x term from both sides of the equation 2. Divide both side by the y coefficient Note: This is solving the equation for y.
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Standard Slope Intercept* Formulas: Standard Form: Ax + By = C Slope Intercept Form: y = mx + b m = -A/B b = C/B Ex 3b. Classwork: 3C, 3D.
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Writing Equations from Word Problems* To write equations in slope intercept form from word problems: 1. Slope (m) is the rate (per) 2. The y-intercept (b) is the starting point (when x = 0) Ex: 4-3 Study Guide #15 Classwork: #16-18
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Slope Intercept in Word Problems Write equations to represent the situations from 4-3 Word Problem Practice -You may work in groups of up to 3. -Off topic conversations (-1 part. point) -Selected groups will present their problems (if there is time)
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