SOLUTION: Need to solve equation 3x-1=5x-y and graph results. This is my attempt: 3x-1-5x = 5x-y-5x -2x-1 = -y, do I do anything else or is this the answer?

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Question 156700: Need to solve equation 3x-1=5x-y and graph results.
This is my attempt:
3x-1-5x = 5x-y-5x
-2x-1 = -y, do I do anything else or is this the answer?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Subtract from both sides


Combine like terms.


Divide both sides by -1 to isolate "y"


Break up the fraction.


Reduce


Rearrange the equation





Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is


Since 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


Also, because the slope is , this means:




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

So this is the graph of through the points and

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