SOLUTION: Graph the equation and identify the y intercept x+5y=10 Would this be 5?

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Question 134288: Graph the equation and identify the y intercept
x+5y=10
Would this be 5?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B5y=10 Start with the given equation


5y=10-x Subtract +x from both sides


5y=-x%2B10 Rearrange the equation


y=%28-x%2B10%29%2F%285%29 Divide both sides by 5


y=%28-1%2F5%29x%2B%2810%29%2F%285%29 Break up the fraction


y=%28-1%2F5%29x%2B2 Reduce





Looking at y=-%281%2F5%29x%2B2 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=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%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%2B2

So this is the graph of y=-%281%2F5%29x%2B2 through the points and