SOLUTION: what is the graph of the equation x+5y=25

Algebra ->  Linear-equations -> SOLUTION: what is the graph of the equation x+5y=25      Log On


   

Question 329634: what is the graph of the equation x+5y=25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B5y=25 Start with the given equation.


5y=25-x Subtract x from both sides.


5y=-x%2B25 Rearrange the terms.


y=%28-x%2B25%29%2F%285%29 Divide both sides by 5 to isolate y.


y=%28%28-1%29%2F%285%29%29x%2B%2825%29%2F%285%29 Break up the fraction.


y=-%281%2F5%29x%2B5 Reduce.


Looking at y=-%281%2F5%29x%2B5 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=5


Since b=5 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%2B5

So this is the graph of y=-%281%2F5%29x%2B5 through the points and