Given: The given line is 2x - 3y = 8. The line parallel to this line has a y - intercept of 5units.

Formula to be used: If ax + by = c is a straight line then the line parallel to the given line is of the form ax + by = d, where a,b,c,d are arbitrary real constants.

A line parallel to the given line has a slope of and is of the form 2x - 3y = k , where k is any arbitrary real constant.

Now, 2x - 3y = k

or, 3y = 2x - k

which is of the form y = mx + c , where c is the y - intercept.

So, k = ( - 3)x5 = - 15

Equation of the required line is 2x - 3y = - 15

i.e. 2x - 3y + 15 = 0