There are many answers possible.

Essentially, if it's parallel

a1/a2 = b1/b2 ≠ C1/C2
so
the answer can be
2√3 x – 2√5 y = 14

Explanation:

To find the equation of a line that is parallel to the given line, we need to find the slope of the given line.

The given equation is √3x -√5y =8. We can rewrite this equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

To do this, we need to solve for y:

√3x -√5y = 8
-√5y = -√3x + 8
y = (√3/√5)x - (8/√5)

So, the slope of the given line is (√3/√5).

Formula:

The equation of a line that is parallel to a given line with slope m and passes through a point (x1, y1) is:

y - y1 = m(x - x1)

Steps to Find the Equation of a Parallel Line:

1. Identify the slope of the given line.
2. Choose a point that the parallel line passes through.
3. Substitute the slope and point into the formula.
4. Simplify the equation.

Example:

Let's say we want to find the equation of a line that is parallel to √3x -√5y =8 and passes through the point (2, 4).

1. The slope of the given line is (√3/√5).
2. We know the parallel line passes through the point (2, 4).
3. Substitute the slope and point into the formula:

y - y1 = m(x - x1)
y - 4 = (√3/√5)(x - 2)

4. Simplify the equation:

y - 4 = (√3/√5)x - (2√3/√5)
y = (√3/√5)x + (2√3/√5) + 4

Therefore, the equation of a line that is parallel to √3x -√5y =8 and passes through the point (2, 4) is y = (√3/√5)x + (2√3/√5) + 4.