If y varies directly with x, how do you find y when x = 5 if y = -6 when x = 2? Algebra Graphs of Linear Equations and Functions Direct Variation 1 Answer Alan P. Dec 15, 2015 #y=-15# Explanation: If #y# varies directly with #x# then #color(white)("XXX")y/x=c# for some constant #c# If #y=-6# when #x=2# then #color(white)("XXX")(-6)/2=c rarr c=-3# That is #y/x=-3# So when #x=5# #color(white)("XXX")y/5=-3# #color(white)("XXX") rarr y=-3xx5# #color(white)("XXX") rarr y=-15# 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 direct variation equation if y varies directly with x, and #y=2# when #x=4#? See all questions in Direct Variation Impact of this question 4983 views around the world You can reuse this answer Creative Commons License