What is the slope of a line parallel to the line #y=1/3x+2#? Algebra Forms of Linear Equations Equations of Parallel Lines 2 Answers Alan P. Jun 1, 2015 Any linear equation of the form #y =mx+b# has a slope of #m# #y= (1/3)x+2# is of this form and therefore has a slope of #(1/3)#. All parallel lines have the same slope. Any line parallel to #y=1/3x+2# has a slope of #(1/3)# GiĆ³ Jun 1, 2015 Your line has slope #m=1/3#, which is the numerical coefficient of #x#. The parallel line must have the same slope. i.e., #1/3#. Related questions Are two lines with the same slope and y intercept considered to be parallel? Why does slope tell you if two lines are parallel? How do you write an equation of a line that is parallel to another? How do you know if two lines are parallel? How do you find the slope of a line? How do you find the slope of #2x+8y=9#? How do you write a line parallel to #y=-3/5x+2# and goes through point (0,-2)? How do you write a line parallel to #x=-5# and goes through point (1,-2)? What is the slope of the line that is parallel to #y=-4.75#? How do you write an equation of a line that is parallel to #y+3x=7# and passes through point ... See all questions in Equations of Parallel Lines Impact of this question 588 views around the world You can reuse this answer Creative Commons License