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Answer :

Given the equation 2x -3y= 6

since we are to find the rate of change of y with respect to x we make y subject of formula

2x -3y= 6

3y = 2x - 6

divide through by 3

y= 2x/3 - 6/3

y=2x/3 - 2

dy/dx = 2/3

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