SOLUTION: 7x-7y=10

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Question 145222: 7x-7y=10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to graph?



7x-7y=10 Start with the given equation


-7y=10-7x Subtract 7+x from both sides


-7y=-7x%2B10 Rearrange the equation


y=%28-7x%2B10%29%2F%28-7%29 Divide both sides by -7


y=%28-7%2F-7%29x%2B%2810%29%2F%28-7%29 Break up the fraction


y=x-10%2F7 Reduce




Looking at y=x-10%2F7 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=1 and the y-intercept is b=-10%2F7


Since b=-10%2F7 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, this means:

rise%2Frun=1%2F1


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



So starting at , go up 1 unit


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=x-10%2F7

So this is the graph of y=x-10%2F7 through the points and