Find an equation for the line satisfying the given condition

Find an equation for the line satisfying the given conditions. Through (3,2) and parallel to 5x-2y=4. y=_________

Line paralle to 5x -2y =4 would have same slope

5x -2y =4 ----> 2y = 5x -4

y = (5/2)x -2

slope , m = 5/2

So, y = mx +c ---> y = 5x/2 +c

plug point ( 3, 2) to find c:

2 = 5*3/2 +c ----> c = 2 -15/2 = -11/2

So, equation of line : y = 5x/2 -11/2

2y = 5x -11