SOLUTION: 4x-2y=-1

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Question 149156: 4x-2y=-1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x-2y=-1 Start with the given equation.


-2y=-1-4x Subtract 4x from both sides.


y=%28-1-4x%29%2F%28-2%29 Divide both sides by -2 to isolate y.


y=2x%2B1%2F2 Simplify.




Looking at y=2x%2B1%2F2 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=2 and the y-intercept is b=1%2F2


Since b=1%2F2 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is 2, this means:

rise%2Frun=2%2F1


which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1



So starting at , go up 2 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=2x%2B1%2F2

So this is the graph of y=2x%2B1%2F2 through the points and