SOLUTION: I need to graph the equation. 5x - 15 = 3y

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Question 345142: I need to graph the equation.
5x - 15 = 3y

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First solve for 'y'


5x+-+15+=+3y Start with the given equation.


3y=5x+-+15 Flip the equation.


y=%285%2F3%29x+-+15%2F3 Divide every term by 3 to isolate y


y=%285%2F3%29x+-+5 Reduce.


Looking at y=%285%2F3%29x-5 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=5%2F3 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 5%2F3, this means:

rise%2Frun=5%2F3


which shows us that the rise is 5 and the run is 3. This means that to go from point to point, we can go up 5 and over 3



So starting at , go up 5 units


and to the right 3 units to get to the next point



Now draw a line through these points to graph y=%285%2F3%29x-5

So this is the graph of y=%285%2F3%29x-5 through the points and