SOLUTION: can you please help me sketch the graph 3x+y=5 on a graph?

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Question 370524: can you please help me sketch the graph 3x+y=5 on a graph?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2By=5 Start with the given equation.


y=5-3x Subtract 3x from both sides.


y=-3x%2B5 Rearrange the terms.


Looking at y=-3x%2B5 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3 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 -3, this means:

rise%2Frun=-3%2F1


which shows us that the rise is -3 and the run is 1. This means that to go from point to point, we can go down 3 and over 1



So starting at , go down 3 units


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



Now draw a line through these points to graph y=-3x%2B5

So this is the graph of y=-3x%2B5 through the points and


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim