Example: 3x + 4y = 12 - Long Island City High School

Name:__________________________________
Date:_____________________
Aim: What is the “best” method to graph an equation of a line?
Example: 3x
Method
Slope-Intercept Method
3x + 4y = 12
-3x
-3x
Work
4y = -3x + 12
4
4
Y = -3/4 x + 3
Slope= -3/4 (Down Right)
y-intercept = 3
Graph
+ 4y = 12
Table of Values (by hand or Calculator)
3x + 4y = 12
-3x
-3x
4y = -3x + 12
4
4
Y = -3/4 x + 3
x
Zero Intercept Method
3(0) + 4y= 12
3x + 4 (0) = 12
4y=12
3x = 12
Y=3
X=4
(0,3)
4
(4, 0)
Method
Slope-Intercept Method


Best is y is alone
Best if intercepts are non-integer
values
Table of Values (by hand or Calculator)



Best is y is alone
Best if intercepts are non-integer
values
Calculator to check your work.
Zero Intercept Method

Best if the equation is given in
standard form AX+BY=C
Advantages/
Disadvantages
Which method do you prefer? __________________________________________________________________________________________________________
Explain why this method is the best for you?
___________________________________________________________________________________________________________________________________
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