The lines represented by 4x + 3y = 9 and px - 6y + 3 = 0 are parallel. Find the value of p.

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Solution

4x + 3y = 9

3y = -4x + 9

y = $fraction numerator negative 4 over denominator 3 end fraction x$ + 3

Slope of this line = $fraction numerator negative 4 over denominator 3 end fraction$

px - 6y + 3 = 0

6y = px + 3

y =

Slope of this line =

Since, the lines are parallel, their slopes will be equal.

$fraction numerator negative 4 over denominator 3 end fraction equals p over 6 minus 4 equals p over 2 p equals negative 8$

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