Question

What is the equation of a line that is parallel to -3x + 4y = 4 and passes through the point (4,0)

Answer 1

The parallel line to the line
`-3x+4y=4` has the equation

`-3x+4y=C,` where C is unknownn constant.

If this parallel line passes through the point (4,0), then the coordinates of this point satisfy the equation:

`-3\cdot 4+4\cdot 0=C,\\ \\C=-12.`

Thus, the equation is

`-3x+4y=-12.`

Answer:
`-3x+4y=-12.`