Given that y varies directly with x, and x = -16, y = -4, how do you write a direct variation equation that relates x and y?

1 Answer
Alan P.
Apr 9, 2016

For a direct variation:
color(white)("XXX")y=c*x for some constant c

Since for the required direct variation (x,y)=(-16,-4) is a solution:
color(white)("XXX")(-4)=c*(-16)

color(white)("XXX")rarr c=1/4

Therefore the direct variation equation would be:
color(white)("XXX")y=1/4x

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