SOLUTION: plot the graph of the equation 6x-4y = 12, and -4y + 2y = -6

Algebra ->  Linear-equations -> SOLUTION: plot the graph of the equation 6x-4y = 12, and -4y + 2y = -6      Log On


   

Question 193459: plot the graph of the equation 6x-4y = 12, and -4y + 2y = -6
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given Eqns.
system%286x-4y+=+12%28red%28EQN1%29%29%2C-4y+%2B+2y+=+-6%28red%28EQN2%29%29%29

In red%28EQN1%29, Let Fy=0:
6x-4%280%29=12
cross%286%29x%2Fcross%286%29=cross%2812%292%2Fcross%286%291
red%28x=2%29, X-Intercept
Let Fx=0:
6%280%29-4y=12
cross%28-4%29y%2Fcross%28-4%29=cross%2812%293%2Fcross%28-4%291
red%28y=-3%29, Y-Intercept

In red%28EQN2%29, we can see it's horizontal line in the form "y=c"
Continuing,
-4y%2B2y=-6
-2y=-6 ---> cross%28-2%29y%2Fcross%28-2%29=cross%28-6%293%2Fcross%28-2%291
red%28y=3%29
Slope is undefined

We see graph,
----> red%28RED=EQN1%29; green%28GREEN=EQN2%29

Thank you,
Jojo