SOLUTION: x-4y=-8

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Question 219034: x-4y=-8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x-4y=-8 Start with the given equation.


-4y=-8-x Subtract x from both sides.


-4y=-x-8 Rearrange the terms.


y=%28-x-8%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=%28%28-1%29%2F%28-4%29%29x%2B%28-8%29%2F%28-4%29 Break up the fraction.


y=%281%2F4%29x%2B2 Reduce.




Looking at y=%281%2F4%29x%2B2 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=1%2F4 and the y-intercept is b=2


Since b=2 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 1%2F4, this means:

rise%2Frun=1%2F4


which shows us that the rise is 1 and the run is 4. This means that to go from point to point, we can go up 1 and over 4



So starting at , go up 1 unit


and to the right 4 units to get to the next point



Now draw a line through these points to graph y=%281%2F4%29x%2B2

So this is the graph of y=%281%2F4%29x%2B2 through the points and