1) Just simplify the equation first:
y - 9 = (2/5)(x - 5)
y - 9 = 2x/5 - 2
2) Transfer everything to the left with opposite sign:
-2x/5 + y - 9 + 2 = 0
-2x/5 + y - 7 = 0
3) Get rid of rational numbers by multiplying:
-2x/5 + y - 7 = 0 |*5
-2x + 5y - 35 = 0
That's the answer. Good luck!