Find the equation of the chord of the parabola `y^(2)=8x` having slope 2 if midpoint of the chord lies on the line x=4.

Explanation

To find the equation of the chord of the parabola \( y^2 = 8x \) with a slope of 2, and given that the midpoint of the chord lies on the line \( x = 4 \), we can follow these steps:

### Step 1: Identify the midpoint of the chord
Since the midpoint lies on the line \( x = 4 \), we can denote the midpoint as \( (4, y_1) \).

### Step 2: Use the chord equation
The equation of a chord of the parabola \( y^2 = 8x \) can be expressed using the parameter \( t \) as:
\[
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