The equation of a line with slope m and y-intercept b in slope-intercept form is:

On the other hand, two lines are parallel if they have the same slope.
First, find the slope of the given line by isolating y from the equation.
Next, write down the equation of a line with y-intercept -3 and with the same slope as the given line to find the equation of a line that satisfies the described characteristics.
The equation of the given line is 3x=4+5y. Isolate y:

Since the coefficient of x is 3/5, then, the value of the slope of the given line is 3/5.
Replace m=3/5 and b=-3 into the general equation of a line in slope-intercept form to find the equation of a line that has y-intercept of -3 and is parall