What is the slope of the line whose equation is 2x-4y=102x-4y=10?

2x - 4y = 10

2x - 4y + 4y = 10 + 4y ... see note 1

2x = 10+4y

2x-10 = 10+4y-10 ... see note 2

2x-10 = 4y

4y = 2x-10

4y/4 = 2x/4-10/4 ... see note 3

y = (1/2) x - 5/2

note 1: add 4y to both sides

note 2: subtract 10 from both sides

note 3: divide every term by 4

After all that work, we end up with y = (1/2) x - 5/2

it's in y = mx+b form where m = 1/2 is the slope