Find the value of $k$ , if (2, 3) lies on the line represented by the equation $2 x = 3 y - k .$

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Solution

The correct option is D
5

If (2, 3) lies on the line represented by the equation 2x = 3y - k, then it must satisfy the equation.

On substituting $x = 2 a n d y = 3$ in the given equation, we get

$2 (2) = 3 (3) - k$

$\Rightarrow 4 = 9 - k$

$\Rightarrow k = 9 - 4 = 5$

Therefore, value of k is 5.

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Find the value of $k$ , if (2, 3) lies on the line represented by the equation $2 x = 3 y - k .$

k

(2 k, k)

y = 10 - 2 x

2 x = 3 y - k

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