Find the slopes of lines ab and cd. show your work. line ab goes through points a(3,4) and b(7,7). line cd goes through points c (0,0) and d (-6,8).

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Manuela solved the equation below. what is the solution to manuela’s equation?

Hilary decided to purchase 3 points in order to lower her interest rate on her $140,000 mortgage. how much additional money does she need to bring to closing? a. $4200 b. $4000 c. $6 d. $400