Question

Find whether (m,m) lies on linear y-x=0, or not?

Answer 1

coordinate are (m,m)
means x=m and y= m
line y-x=0
is y= x it will satisfy all points where x and y r equal so point (m,m) lies on the line.
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Answer 2

If  a point (a,b) lies on a line lx+my+n=0
then la+mb+n=0
so (m,m) lies on the line then it satisfies the equation of the line 
so substitute m in place of x and substitute m in place of y 
m-m=0