is each equation a direct variation? If it is, find the constant of variation. 2x-3y=1 2x-3y=0

To be an equation for direct variation, the ratio y/x (or x/y) must be constant

For equation 1 the two pairs of variables are x=2, y=1 and x=5, y=3, but the ratios 1/2 and 3/5 are not equal

But equation 2 is direct proportion since it can be written 3y = 2x so y/x =2/3 a constant value

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