Question

Does the point (1,2) lie on the locus whose equation is 2x+4y = 10?​

Answer 1

Yes, the point lies on the line.

Explanation:

Given coordinate of the locus = (1,2)

Equation of the line 2x+4y = 10

Unknown:

Does the given coordinate lie on the line?

Solution:

The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.

x = 1 and y = 2;

2x+4y = 10

So;

2(1) + 4(2) gives 2 + 8 = 10

Yes, the point lies on the line.