What is the equation of the line passing through 3 -4 and it is perpendicular to the line 5x -2y equals 3?

Known equation: 5x -2y = 3 or y = 5/2x -3/2

Slope of equation: 5/2

Slope of perpendicular equation: -2/5

Perpendicular equation: y --4 = -2/5(x -3) => 5y = -2x -14

Perpendicular equation in its general form: 2x+5y+14 = 0