What is the direct variation equation if y varies directly with x, and #y=2# when #x=4#? Algebra Graphs of Linear Equations and Functions Direct Variation 1 Answer seph Oct 29, 2014 #y# varies directly with #x# #=> y = kx# if #x = 4#, then #y = 2# #=> 2 = k(4)# #=> 4k = 2 #=> k = 1/2# #=> y =1/2x# Answer link Related questions What is Direct Variation? What does direct variation look like on a graph? What are examples of direct variation? How do you determine if a function is a direct variation when given a table? How do you write direct variation equations? What is the constant of proportionality "k"? Why is #y=2x-1# not a direct variation? How do you graph the direct variation equation #y=-\frac{1}{6}x#? What is the direct variation equation if y varies directly with x, and #y=7.5# when #x=2.5#? What is the constant "k" in #y=-\frac{2}{3}x#? See all questions in Direct Variation Impact of this question 8150 views around the world You can reuse this answer Creative Commons License