Parallel lines have the same slope.
We have the line y = 3/4x + 1.
Then the equation of a parallel line is y = 3/4x + b.
The line passes through the point (4, -2). Put the coordinates of the point to the equation of a line:
-2 = 3/4(4) + b
-2 = 3 + b subtract 3 from both sides
-5 = b
Answer: y = 3/4x - 5