Question

Eq 1 y = 2x + 3

Eq 2 y = 2x + 1

How can you determine these are parallel? Can you graph both equations? Is it possible the lines do intersect somewhere away from the coordinates you are plotting?

Answer 1

the equation of line is y=mx+c where m is the slope of the lines i.e inclination on x axis . since both the lines have the same slope i.e 2, they r parallel to each other.