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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Can I help with this please. Graph the equation and identify the y-intercept x+3y=12      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B3y=12 Start with the given equation


3y=12-x Subtract +x from both sides


3y=-x%2B12 Rearrange the equation


y=%28-x%2B12%29%2F%283%29 Divide both sides by 3


y=%28-1%2F3%29x%2B%2812%29%2F%283%29 Break up the fraction


y=%28-1%2F3%29x%2B4 Reduce






Looking at y=-%281%2F3%29x%2B4 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-1%2F3 and the y-intercept is b=4


Since b=4 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 -1%2F3, this means:

rise%2Frun=-1%2F3


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 y=-%281%2F3%29x%2B4

So this is the graph of y=-%281%2F3%29x%2B4 through the points and

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B3y=12
+3y=-x%2B12
y=-x%2F3%2B12%2F3
+y=-%281%2F3%29x%2B4
If x=0, then y=4….y-intercept….

Solved by pluggable solver: PLOT a graph of a function
Plotting a graph:
graph%28+600%2C+400%2C+-10%2C+20%2C+-10%2C+20%2C+-%281%2F3%29x%2B4+%29
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 )