Ax + By = C 2x + 3y = 6 Algebra 1 Ch.6 Notes Page 30

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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
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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
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