What is the parallel slope to 2x-3y=30?

To determine the slope parallel  line to 2x-3y=
30.

We know that any line ax+by+c = 0 could be written as
:

by = -bx-c. Or y = (-b/a)x+(-c/a) , where (-b/a) is its
slope.

The equation of parallel line to ax+by+c is of the form
ax+by+d = 0.Thus there is no change in the slope of a parallel. Or the slope of the line and
parallel line es are same.

Therefore the thgive line 2x-3y = 30 in
the slope interept form is:

y = (-2x+30)/3.  Or y = (-2/3)x+10,
whose slope is -2/3.

Therefore the slope of a parallel line to 3x-2y
= 30 is also -2/3.