SOLUTION: Graph the equation using the slope and y-intercept. y=5/3x+6 For some reason I cannot figure out the right answer when it comes to fractions and graphing.

Algebra ->  Graphs -> SOLUTION: Graph the equation using the slope and y-intercept. y=5/3x+6 For some reason I cannot figure out the right answer when it comes to fractions and graphing.      Log On


   

Question 173889: Graph the equation using the slope and y-intercept.
y=5/3x+6
For some reason I cannot figure out the right answer when it comes to fractions and graphing.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Looking at y=%285%2F3%29x%2B6 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=6


Since b=6 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%2B6

So this is the graph of y=%285%2F3%29x%2B6 through the points and