SOLUTION: The topic is graph this equation 2x+y=-2 3x-6y=-3 -2x+y=-2 and finally 1/4x+3/4y=6

Algebra ->  Graphs -> SOLUTION: The topic is graph this equation 2x+y=-2 3x-6y=-3 -2x+y=-2 and finally 1/4x+3/4y=6      Log On


   



Question 22430: The topic is graph this equation
2x+y=-2
3x-6y=-3
-2x+y=-2
and finally
1/4x+3/4y=6

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
For the most part, these are in standard form, so the easiest way to graph them is probably the TWO-INTERCEPT METHOD. Instead of finding the slope and y-intercept, just find the x and y intercepts.

2x+y = -2
If x= 0, then y = -2
If y=0, then 2x= -2, so x= -1
Graph these points and connect the dots. It should look like this:
graph%28300%2C300%2C+-6%2C6%2C-6%2C6%2C+-2x-2%29+
----------------------------------------------------------------------------------

3x-6y=-3
If x = 0, then -6y=-3, so y= 1%2F2
If y=0, then 2x = -3, so x = -1
Graph these points and connect the dots. It should look like this:
graph%28300%2C300%2C+-6%2C6%2C-6%2C6%2C+%281%2F2%29%2Ax%2B%281%2F2%29%29+
----------------------------------------------------------------------------------

-2x+y=-2
If x = 0, then y=-2
If y=0, then -2x = -2, so x = 1
Graph these points and connect the dots. It should look like this:
graph%28300%2C300%2C+-6%2C6%2C-6%2C6%2C+2x-2%29+
----------------------------------------------------------------------------------

1/4x+3/4y=6

First multiply both sides by the LCD which is 4:
4%2A%281%2F4%29x%2B4%2A%283%2F4%29y=4%2A6
x+%2B+3y+=+24

If x = 0, then 3y=24, so y= 8
If y=0, then x = 24 (This will take a LARGE GRAPH!)
Graph these points and connect the dots. It should look like this:
graph%28300%2C300%2C+-10%2C30%2C-10%2C30%2C+%28-1%2F3%29%2Ax%2B8+%29

R^2 at SCC