SOLUTION: Can I help with this please. Graph the equation and identify the y-intercept x+3y=12

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Question 134273: Can I help with this please.
Graph the equation and identify the y-intercept
x+3y=12
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation


Subtract from both sides


Rearrange the equation


Divide both sides by


Break up the fraction


Reduce






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



So starting at , go down 1 unit


and to the right 3 units 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
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!




If , then ….….

Solved by pluggable solver: PLOT a graph of a function
Plotting a graph:

This solver uses formula rendering system and here's the actual formula that was plotted:

graph( 600, 400, -10, 20, -10, 20, -(1/3)x+4 )
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