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Problem Solving (PS) | Re: Which of the following lines in the xy-plane does not

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Shef08 wrote:

mymbadreamz wrote:
Which of the following lines in the xy-plane does not containany point with integers as both coordinates?

A.\(y=x\)

B.\(y=x+\frac{1}{2}\)

C.\(Y=x+5\)

D.\(y=\frac{1}{2}*x\)

E.\(y=\frac{1}{2} *x+5\)



Ok, I chose B only. But I don’t understand what’s the problem with D?
If x is even, y is aninteger.
Likewise if x is odd, y is not an integer...

Can someone elaborate onthis?

Posted from my mobiledevice


Shef08

Take a look at the two things in red in the above quote. Your example shows that there are many points on D
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