SOLUTION: How to I graph 6x + 5y = 10.

Algebra ->  Graphs -> SOLUTION: How to I graph 6x + 5y = 10.       Log On


   

Question 254910: How to I graph 6x + 5y = 10.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph 6x%2B5y=10, we first must solve for y.


6x%2B5y=10 Start with the given equation.


5y=10-6x Subtract 6x from both sides.


5y=-6x%2B10 Rearrange the terms.


y=%28-6x%2B10%29%2F%285%29 Divide both sides by 5 to isolate y.


y=%28%28-6%29%2F%285%29%29x%2B%2810%29%2F%285%29 Break up the fraction.


y=-%286%2F5%29x%2B2 Reduce.


Looking at y=-%286%2F5%29x%2B2 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-6%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 -6%2F5, this means:

rise%2Frun=-6%2F5


which shows us that the rise is -6 and the run is 5. This means that to go from point to point, we can go down 6 and over 5



So starting at , go down 6 units


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



Now draw a line through these points to graph y=-%286%2F5%29x%2B2

So this is the graph of y=-%286%2F5%29x%2B2 through the points and