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 5351 views around the world You can reuse this answer Creative Commons License