Question

In the xy-plane, the point (m,n) is on the line with equation y=x+c, where c is a constant. The point (3m,6n) is on the line with equation y=3x+c. If m≠0, what is the value of n/m?

1. 1/2
2. 8/5
3. 5/8
4. 2

Answer 1

since (p,r) lies on y=x+b, it will satisfy the equation.

=>r=p+b …(1)

also, (2p,5r) lies of y=2x+b, it will satisfy the equation.

=>5r=4p+b …(2)

Subtracting (1) from (2), we get

4r=3p

=>r:p=3:4