decide whether the graphs of two equations are parallel lines

Question

Y=2x-12

6x-12=0

 

I am doing an ECA review and have no idea how to do this. if you could help that would be great thank you

Answer 1

You can rewrite 6x-12=0 as 6x=12 ---> this is a vertical line

 

y=2x -12 means the line has a gradient of 2, and it intercepts the y-axis at -12 (when x=0, y=-12) --> this is not a vertical line.

 

Therefore, the lines of the two equations are not parallel