The line contains the point (-7,0) and is parallel to the line defined by 4x=3y. what is the equation of the line

Parallel line have the same slope. Since the slope of the line is:

4x = 3y
4/3 = y

4/3, we need to set this up in an equation:

y = 4/3x + b

Now, lets add our point in:

y = 4/3x + b
0 = 4/3(-7) + b
0 = -28/3
28/3 = b

Now we know all our information. Form the equation:

y = 4/3x + 28/3

Hope this helped!