Answer:
4y=3x-1
y=3/4x-5/4
Explanation:
If a line is parallel to another, the gradient remains the same. So (if you have multiple choice answers), you can rule out the ones without a gradient of 3.
From there, you can either draw or visualise the y-intercept. Do this until you have found the line which is parallel to 4y=3x+1. Hope that made sense :)