A16­4StandardForm.notebook September 24, 2014 Algebra 1 Ch.6 Notes Page 29 P29 6­4 Standard Form Sep 2­8:31 AM 1 A16­4StandardForm.notebook September 24, 2014 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 2 A16­4StandardForm.notebook September 24, 2014 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 3 A16­4StandardForm.notebook September 24, 2014 Graphing Lines Using Intercepts 3x + 4y = 12 4x + 2y = ­8 Nov 27­8:56 AM 4 A16­4StandardForm.notebook September 24, 2014 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 5 A16­4StandardForm.notebook September 24, 2014 Converting to Standard Form y = ­3x + 2 y = 2x + 4 Nov 27­8:56 AM 6 A16­4StandardForm.notebook September 24, 2014 Converting to Slope­Intercept Form 4x + 2y = ­8 2x + 3y = 6 Dec 2­8:40 AM 7 A16­4StandardForm.notebook September 24, 2014 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 8 A16­4StandardForm.notebook September 24, 2014 HW #32 6­4 P333 #1­5,10­14,18­20,23,24,27,28,36,37,70­76 Please put your name and class period at the top of the homework. Also include the homework number. Sep 30­2:26 PM 9