I whipped through these in relatively short order until this one

Passing through (4,-7) and perpendicular to the line whose equation is

x -2y -3 = 0 : Subtract x from both sides and add 3 to both sides so that

-2y = -x +3 : Divide -x by -2 to get

The negative reciprocal of 1/2 is -2 so...

y- (-7)= -2(x-4) to get

y +7 = -2x +8 : subtract both 7 and y to get

-2x -y +1 = 0 : The answer in the book is the complete opposite. It gives

2x +y -1 = 0

But to get that requires something that I'm missing. Either that or the book is wrong. The latter is very rare and the former much more likely. Any and all help is appreciated. Thanks!