is it a mikuni carb? unscrew the thing on the top of the carb. you should be able to do this without any tools. this will allow access to the top of the slide. if theres somthing caugh in their or its rusted that would cause it to not move. once the top is off you should be able to pull the slide right out of the carb. another thing you can try is take a screw driver and wrap a cloth around it and pry up on it from the inside. cloth is so it does not damage carb.
do not pry hard, and be gentle. you do not wanna break it! id assume whatever is causing it to not move could be fixed/seen from the top. to be clear the top that you take off is where the throttle cable goes into the carb.
I got it I had to pry it with 2 screwdrivers it was all gummed up then I cleaned the rough edges with some 320 grit sand paper never saw one gummed up like that I'm sure the mouse living in the air box helped too thanks for your help!