How to find a parallel line passing through point A and a known straight line

[慕阳2018]

How to find a parallel line passing through point A and a known straight line，The coordinates of point A and the two points of the line  are known

[altenbach]

This is a basic geometry question, not a LabVIEW questions. Do you have problems with the math or with implementing them in LabVIEW?

What are the inputs (slope and intercept of the line and xy of the point?)

If they new line is parallel, the slope is the same, right? Also consider some special cases, for example if the line is vertical.

What have you tried so far?