If the line represented by the equation $3 x + 4 y + c = 0$ passes through the origin, then find the value of $c$ . (2 marks)

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Solution

If the line represented by the equation $3 x + 4 y + c = 0$ passes through the origin, then the point $(0, 0)$ satisfies the equation.
$∴ 3 (0) + 4 (0) + c = 0$
$⟹ c = 0$
(2 marks)

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