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
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