A16­4StandardForm.notebook October 20, 2015 Algebra 1 Ch.6 Notes Page 30 P30 6­4 Standard Form Sep 2­8:31 AM Standard Form Ax + By = C A, B, and C are Numbers 2x + 3y = 6 Standard Form allows you to find the x and y intercepts quickly X­Intercept: Where Graph Crosses X­Axis Y­Intercept: Where Graph Crosses Y­Axis Nov 27­8:55 AM 1 A16­4StandardForm.notebook October 20, 2015 Finding X and Y Intercepts Use Zero to Find the X and Y Intercepts Make a T­Chart Substitute Zero for X to find Y Substitute Zero for Y to find X Graph the Line 2x + 3y = 6 Nov 27­8:56 AM Graphing Lines Using Intercepts 3x + 4y = 12 4x + 2y = ­8 Nov 27­8:56 AM 2 A16­4StandardForm.notebook October 20, 2015 Graphing Horizontal and Vertical Lines Horizontal Lines have Slopes = 0 X does not Matter Y always equals some number Vertical Lines have Undefined Slopes Y does not Matter X always equals some number x = 3 y = 2 Nov 27­8:56 AM Converting to Standard Form y = ­3x + 2 y = 2x + 4 Nov 27­8:56 AM 3 A16­4StandardForm.notebook October 20, 2015 Converting to Slope­Intercept Form 2x + 3y = 6 4x + 2y = ­8 Dec 2­8:40 AM Word Problem Write an equation in standard form to find the minutes someone who weighs 150lbs would need to bicycle and swim laps in order to burn 300 calories. Nov 27­8:56 AM 4