You can put this solution on YOUR website!
The equation of the line which is perpendicular to 3y=2x-6, and passes through the point (4,7)
3y = 2x - 6
2x - 3y = 6 ------ Converting to STANDARD FORM of a linear function
If in the above form, Ax - By = C, KEEP A the same, NEGATE B and then switch coefficients to get left side of equation. This gives us: 3x + 2y = C
Now, C is calculated based on the given point and the left side of the equation.
This results in:
That's IT!!