SOLUTION: graph 2x-y=5

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Question 141166: graph
2x-y=5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x-y=5 Start with the given equation


-y=5-2x Subtract 2+x from both sides


-y=-2x%2B5 Rearrange the equation


y=%28-2x%2B5%29%2F%28-1%29 Divide both sides by -1


y=%28-2%2F-1%29x%2B%285%29%2F%28-1%29 Break up the fraction


y=2x-5 Reduce



Looking at y=2x-5 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=-5


Since b=-5 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-5

So this is the graph of y=2x-5 through the points and