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Question

(A) linear equation in two variables $ax + by + c = 0$ passes through the origin $(0, 0)$ if and only if the constant term $c$ is equal to $0$.In the

Vedclass · Accepted Answer

$4x = 5y$

Vedclass · Answer

(A) linear equation in two variables $ax + by + c = 0$ passes through the origin $(0, 0)$ if and only if the constant term $c$ is equal to $0$.In the given options:$A) 4x = 5y \implies 4x - 5y = 0$. Here,$c = 0$,so it passes through the origin.$B) 4x + 1 = 5y \implies 4x - 5y + 1 = 0$. Here,$c = 1 
eq 0$.$C) 5x - 1 = 4y \implies 5x - 4y - 1 = 0$. Here,$c = -1 
eq 0$.$D) 4x + 5y = 1 \implies 4x + 5y - 1 = 0$. Here,$c = -1 
eq 0$.Therefore,the equation $4x = 5y$ passes through the origin.

The graph of the equation ............. passes through the origin.

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