SOLUTION: How do I graph 4x-y=3 on a coordinate plane?

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Question 275243: How do I graph 4x-y=3 on a coordinate plane?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x-y=3 Start with the given equation.


-y=3-4x Subtract 4x from both sides.


-y=-4x%2B3 Rearrange the terms.


y=%28-4x%2B3%29%2F%28-1%29 Divide both sides by -1 to isolate y.


y=%28%28-4%29%2F%28-1%29%29x%2B%283%29%2F%28-1%29 Break up the fraction.


y=4x-3 Reduce.




Looking at y=4x-3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=4 and the y-intercept is b=-3


Since b=-3 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 4, this means:

rise%2Frun=4%2F1


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



So starting at , go up 4 units


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



Now draw a line through these points to graph y=4x-3

So this is the graph of y=4x-3 through the points and