SOLUTION: Graph using the slope and the y intercept x+5y=15

Algebra ->  Graphs -> SOLUTION: Graph using the slope and the y intercept x+5y=15      Log On


   

Question 156045: Graph using the slope and the y intercept x+5y=15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B5y=15 Start with the given equation.


5y=15-x Subtract x from both sides.


5y=-x%2B15 Rearrange the terms.


y=%28-x%2B15%29%2F%285%29 Divide both sides by 5 to isolate y.


y=%28%28-1%29%2F%285%29%29x%2B%2815%29%2F%285%29 Break up the fraction.


y=-%281%2F5%29x%2B3 Reduce.




Looking at y=-%281%2F5%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-1%2F5 and the y-intercept is b=3


Since b=3 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%2F5, this means:

rise%2Frun=-1%2F5


which shows us that the rise is -1 and the run is 5. This means that to go from point to point, we can go down 1 and over 5



So starting at , go down 1 unit


and to the right 5 units to get to the next point



Now draw a line through these points to graph y=-%281%2F5%29x%2B3

So this is the graph of y=-%281%2F5%29x%2B3 through the points and