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(C) line perpendicular to the $Y-axis$ is a horizontal line.Any horizontal line has the general form $y = k$,where $k$ is a constant.Let us analyze th

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$2y - 3 = 0$

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(C) line perpendicular to the $Y-axis$ is a horizontal line.Any horizontal line has the general form $y = k$,where $k$ is a constant.Let us analyze the given options:$A) 3x + 2y = 5$ represents a slanted line.$B) x = 3$ represents a vertical line (perpendicular to the $X-axis$).$C) 2y - 3 = 0$ can be rewritten as $2y = 3$ or $y = 1.5$. This is a horizontal line,which is perpendicular to the $Y-axis$.$D) x - y = 0$ represents a slanted line passing through the origin.Therefore,the correct option is $C$.

The graph of the equation $\ldots \ldots \ldots \ldots$ is a line perpendicular to the $Y-axis.$

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