SOLUTION: I need to solve and graph this linear equation: 2x+3y=4. Thanks

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I need to solve and graph this linear equation: 2x+3y=4. Thanks      Log On


   

Question 165162: I need to solve and graph this linear equation:
2x+3y=4. Thanks
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Slope intercept form: y=mx%2Bb, EQN 1
Line eqn: 2x%2B3y=4 to EQN 1:
3y=4-2x
cross%283%29y%2Fcross%283%29=%284-2x%29%2F3
y=-%282%2F3%29x%2B%284%2F3%29
f(x)=0: y-intercept 4%2F3
f(y)=0:
3%280%29=4-2x
2x=4 ---> cross%282%29x%2Fcross%282%29=cross%284%292%2Fcross%282%291
x=2
See graph:
--- points (2,4/3)
Thank you,
Jojo