SOLUTION: Graph each equation. Plot at least five points for each equation. x-2y=6

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Question 202302: Graph each equation. Plot at least five points for each equation.
x-2y=6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-2y=6 Start with the given equation.


-2y=6-x Subtract x from both sides.


-2y=-x%2B6 Rearrange the terms.


y=%28-x%2B6%29%2F%28-2%29 Divide both sides by -2 to isolate y.


y=%28%28-1%29%2F%28-2%29%29x%2B%286%29%2F%28-2%29 Break up the fraction.


y=%281%2F2%29x-3 Reduce.



Looking at y=%281%2F2%29x-3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=1%2F2 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%2F2, this means:

rise%2Frun=1%2F2


which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2



So starting at , go up 1 unit


and to the right 2 units to get to the next point



Now draw a line through these points to graph y=%281%2F2%29x-3

So this is the graph of y=%281%2F2%29x-3 through the points and


Note: if you need more points, simply pick random x values to find the corresponding y values.