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Question 834439: I need to find the intercepts and the graph the line for 2x-10y=0. I have tried i come up with (0,0), so i tried to make x=1 which leads me to (1,1/5) and x=-1 which leads me to (-1,1/5) but the line doesn't seem to match up right.
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! You are creating your own confusion. What was your process giving the first result of (0,0)? You had to have some way of finding that.
What if you try checking that result?
x at 0:
2*0-10y=0
0-10y=0
-10y=0
y must be 0.
y at 0:
2*x-10*0=0
2*x-0=0
2*x=0
x must be 0.
No reason to be off-track.
Remember when you were first introduced to  as a linear equation? This intersects the origin, (0,0). No matter what coefficients you put onto x or y, the slope will change but the line will still intersect the origin. A constant needs to be added, other than zero, to either member of the equation in order to force the intercepts off the origin. Your given equation,  , could be rearranged to 2x=10y, and then  . x intercept is zero, and no nonzero constant is added to either member, so y intercept is also zero, so x and y intercepts together are at (0,0).
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