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Types of Linear Programing Problems

If the graph ...

Question

If the graph of the equation $x + y 8 + 4 k = 0$ passes through the origin, the value of k is

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Solution

If it passes through origin, then it ha to satisfy the point $(0, 0)$
so after putting $(0, 0)$ in the equation
$x + 8 y + 4 k = 0$
$0 + 8 \times 0 + 4 k = 0$
$4 k = 0$
$k = 0$ .

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