Does the equation #8x +2y =0# represent a direct variation and if so, identify the constant of variation?

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Answer 1 · 2016-08-30T12:33:49

You rewrite this one:

#->2y=-8x->y=-4x#

The constant is #-4# and when #x=0# then #y=0#

Answer 2 · 2016-08-30T12:37:25

#"Yes, y is in a direct variation of x,&, the const. of variation is" -4#.

Rewriting the eqn. we see that, #y=-8x/2=(-4)x#

This shows that #y prop x, "&, the const. of variation is" -4#.