SOLUTION: In my homework I need to graph linear systems and estimate the solution. I'm not sure how to graph an equation.. I really need help. One of my problems is.. -x + 6y = -12

Algebra ->  Rational-functions -> SOLUTION: In my homework I need to graph linear systems and estimate the solution. I'm not sure how to graph an equation.. I really need help. One of my problems is.. -x + 6y = -12      Log On


   



Question 354623: In my homework I need to graph linear systems and estimate the solution.
I'm not sure how to graph an equation.. I really need help.

One of my problems is..
-x + 6y = -12
x + 6y = 12

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
These are linear, straight lines.
Find 2 points and draw a line thru them.
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-x + 6y = -12
x = 12 - 6y
Pick 2 values for y and find x.
y = 0, x = 12 --> (12,0)
y = 2, x = 0 --> (0,12)
Plot the 2 points, draw a line thru them.
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Do the same for the other equation.
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-x + 6y = -12
---
Let x = 0, then y = -2 giving you point(0,-2)
Let y = 0, then x = 6 giving you point (6,0)
---
Plot those two points and draw a line thru them.
graph%28400%2C300%2C-10%2C10%2C-10%2C15%2C%281%2F6%29x-2%29
========================
x + 6y = 12
Let x = 0, then y = 2 giving you point (0,2)
Let y = 0, then x = 12 giving you point(12,0)
---
Plot those two points and draw a line thru them.
graph%28400%2C300%2C-10%2C10%2C-10%2C15%2C%28-1%2F6%29x+%2B+2%29
============
Find the intersection of the two lines:
graph%28400%2C300%2C-10%2C20%2C-10%2C10%2C%28-1%2F6%29x%2B2%2C%281%2F6%29x-2%29
============
Looks like (12,0)
Cheers,
Stan H.
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