How do you find the slope of the line described by #x-3y = -6#? Algebra Graphs of Linear Equations and Functions Slope 1 Answer Massimiliano Mar 30, 2015 The slope is the coefficient of #x# when the equation is written in esplicit form: #y=mx+q#. So: #x-3y=-6rArr3y=x+6rArry=1/3x+2# and so the slope is #m=1/3#. Answer link Related questions What is Slope? How can slope be undefined? How do you calculate slope from a graph? How do you calculate the slope given two points? How does a positive slope differ from a negative slope? How does change in the slope affect the steepness of a line? Why is the slope of a horizontal line is zero? How do you determine the slope of #(3, –5)# and #(–2, 9)#? How do you determine the slope of #(1/3, 3/4)# and #(–2, 6)#? How do you determine the slope of #(2,7)# and #(7,2)#? See all questions in Slope Impact of this question 7200 views around the world You can reuse this answer Creative Commons License