One equation of a

Condition for dependent linear equations -

a1 /a2 = b1/b2 = c1/c2 …(i)

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

Comparing with ax+ by +c = 0;

Here, a1 = - 5, b1 = 7, c1 = - 2;

For second equation, let’s assume a2x + b2y + c2 = 0;

From Eq. (i),

Where, k is any arbitrary constant.

Putting k = - 1/2 then

a2 = 10, b2 = - 14, c2 = 4;

The required equation of line becomes

a2x + b2y + c2 = 0;

10x - 14y + 4 = 0;

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