SOLUTION: hi, i need to graph f(x) = 1/3x +2 i need simple simple simple step by step instructions as I'm just now getting back into math after not doing any for 10 years... thanks!

Algebra ->  Graphs -> SOLUTION: hi, i need to graph f(x) = 1/3x +2 i need simple simple simple step by step instructions as I'm just now getting back into math after not doing any for 10 years... thanks!      Log On


   

Question 216425: hi, i need to graph
f(x) = 1/3x +2
i need simple simple simple step by step instructions as I'm just now getting back into math after not doing any for 10 years... thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Looking at y=%281%2F3%29x%2B2 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=2


Since b=2 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 up 1 and over 3



So starting at , go up 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%2B2

So this is the graph of y=%281%2F3%29x%2B2 through the points and