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Using slope/intercept How do you use the slope/intercept equation to solve problems? SPI: 706.3.12 Activator: Write the following problem in function form: 6x – 3y = 18 Y = 2x + -6 or y = 2x – 6 This form is also known as: slope/intercept: y = mx + b What is slope/intercept? Slope/intercept is the equation that relates every x coordinate with its y coordinate. It is written as “y =“ Y = mx + b m = slope and b = y-intercept Insert video Insert video Insert video Once an equation is in slope/intercept form you can identify the slope as the coefficient of x and the y-intercept as the constant. Example: y = -¼x + 7 slope = -¼ y-intercept = 7 Matching an equation w/ a line http://math123xyz.com/Nav/Algebra/Quick_G raph_with_Slope-Intercept_Practice.php Graphing slope/intercept To graph slope intercept plot a point on the yaxis or the y-intercept (The # you got for b) Next, use the slope to find the next point. Remember to move the correct directions. Examples: Graph: y = 3x - 4 Insert graph y = 1/3x +2 y = -x Extra Info: Parallel lines have the same slope. Example: y=2/3x + 5 and y=2/3x -4 Perpendicular lines have the negative reciprocal of each others slope Example: y=2/3x + 4 and y=-3/2x + 3 What is a parallel line to y = 1/5x + 4 What is a perpendicular line to y=1/5 + 4 Practice Pre-Algebra wb pg. 109