Let's say I'm given the equations of two parallel lines, and an arbitrary point. What is the method I should use to check if that point lies in between the parallel lines?
For example, let's say I have two equations and a point A: $$2x+3y=7$$ $$2x+3y=12$$ $$A (3, -5)$$ How do I check if $A$ lies in between the two lines?
Best Answer
The equations $2x+3y=a$ for $7<a<12$ lie between the lines. The point $(3,-5)$ gives $a=-9$ so it does not lie between the lines.