If a line 3x - ky = 5 passes through (3, 2), then the value of 'K is

Options

A. 4
B. 3
C. 2
D. 1

Answer

To find the value of \( k \) for the line given by the equation \( 3x - ky = 5 \) that passes through the point \( (3, 2) \), we can follow these steps:

### Step 1: Substitute the coordinates into the equation
Since the line passes through the point \( (3, 2) \), we can substitute \( x = 3 \) and \( y = 2 \) into the equation \( 3x - ky = 5 \).

\[ 3(3) - k(2) = 5 \]

### Step 2: Simplify the equation
Now, simplify the left side of the equation:

\[ 9 - 2k = 5 \]

### Step 3: Isolate \( k \)
Next, we need to isolate \( k \). Start by moving \( 9 \) to the right side of the equation:

\[ -2k = 5 - 9 \]

This simplifies to:

\[ -2k = -4 \]

### Step 4: Solve for \( k \)
Now, divide both sides by \( -2 \):

\[ k = \frac{-4}{-2} = 2 \]

### Conclusion
Thus, the value of \( k \) is \( 2 \).

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