SOLUTION: x-2y=4 x+2y=12 graph

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Question 126455: x-2y=4 x+2y=12 graph
Answer by JessicaGill(40) About Me  (Show Source):
You can put this solution on YOUR website!
First, convert both of the equations to slope-intercept form y=mx%2Bb
M being the slope and b being the y intercept (0,b)
First equation.
x-2y=4
Add 2y to both sides.
x-2y%2B27=4%2B2y=x=2y%2B4
Next subtract 4 from each side.
x-4=2y%2B4-4=x-4=2y
Now divide each side by 2 to isolate the y variable.
x%2F2-4%2F2=2y%2F2=%281%2F2%29x-2=y
Now repeat the process for the second equation.
x%2B2y=12
Subtract x from both sides
x-x%2B2y=12-x=2y=-x%2B12
Now divide both sides by 2 to isolate the y variable
2y%2F2=-x%2F2%2B12%2F2=y=%28-1%2F2%29x%2B6
Now that both equations are in Slope-intercept form, graph the y intercept of each and use the slope to graph a second point. Compare the graphs of the two equations. Note that they intersect at one point only. This means that the 2 equations have one unique solution and are classified as independent.




graph%28300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C+y=%28-1%2F2%29x%2B6%2C+%281%2F2%29x-2=y+%29