The parallel line to the line [tex]-3x+4y=4[/tex] has the equation
[tex]-3x+4y=C,[/tex] where C is unknownn constant.
If this parallel line passes through the point (4,0), then the coordinates of this point satisfy the equation:
[tex]-3\cdot 4+4\cdot 0=C,\\ \\C=-12.[/tex]
Thus, the equation is
[tex]-3x+4y=-12.[/tex]
Answer: [tex]-3x+4y=-12.[/tex]
