Answer: 5x - 2y = 8
y+1=5/2(x-2)+2
multiply the each side by 2 to get rid of the fraction
2 (y+1) = (5/2 (x-2) +2 )2
2y+2=5(x-2)+4
now distribute the 5
2y+2=5x-10+4
subtract the two from each side
2y=5x-10+4-2
add like terms
2y=5x-8
subtract 5x from each side
2y-5x=-8
multiple the whole equation by -1 to make the 5x a positive
-2y+5x=8
hope this helps!