What is the equation of a line perpendicular to 3x-2y7 with a y- intercept of 5?

The gradient of the given line is 2/3. Gradient of the perpendicular is -3/2

The equation, therefore, is y = -(3/2)x + 5

or 2y = -3x + 10

or 3x + 2y - 10 = 0