One equation of a pair of dependent linear equations is :

-5x + 7y - 2 = 0. The second equation can be:

Condition for dependent linear equations -

a_{1} /a_{2} = b_{1}/b_{2} = c_{1}/c_{2} …(i)

Given equation of line is, - 5x + 7y - 2 = 0;

Comparing with ax+ by +c = 0;

Here, a_{1} = - 5, b_{1} = 7, c_{1} = - 2;

For second equation, let’s assume a_{2}x + b_{2}y + c_{2} = 0;

From Eq. (i),

Where, k is any arbitrary constant.

Putting k = - 1/2 then

a_{2} = 10, b_{2} = - 14, c_{2} = 4;

∴ The required equation of line becomes

a_{2}x + b_{2}y + c_{2} = 0;

10x - 14y + 4 = 0;

9