Question 558188
When the equation of a line is in the form y=mx+b, the slope of the line is the coefficient of x, which is m.  In your problem, the coefficient of x for both lines is 3, so the slope is 3 for both lines. 


If the slopes of two lines is the SAME, then the lines are PARALLEL.


For additional help with this, please see my own FREE website.  To go to my website, use the easy-to-spell and easy-to-remember ;ink www.mathinlivingcolor.com.  At the very bottom of this page, there is a link that will take you to my Homepage.  


Once you are on my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time."  Choose "Intermediate Algebra", and look in Chapter 5 for "Section 5.02 Slope, Midpoint, Distance Formula."  


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus