Find the slope and y-intercept in the equation.

2x+4y=9

The first thing to do with these problems is to convert them into y=mx+b form; this will literally show you the answer to slope and y intercept since m=slope and b=y intercept.

To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y = - 2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y = - 1/2x+9/4. M = - 1/2 so that is the slope. B=9/4 so that is the y intercept