How to make my Main Menu buttons to work in my Game

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I'm trying to make main menu for my game and I dont know how to make my buttons to work.
I'm using Slic2D and LWJGL libraries

My GameMenu Class:

package lt.CobaltPlanet.nelixus.state;

import org.newdawn.slick.*;
import org.newdawn.slick.state.*;



public class GameMenu extends BasicGameState{

    Image Backgruond,Game_Title;
    Image play,play_hover,play_pressed;
    Image option,option_hover,option_pressed;
    Image quit,quit_hover,quit_pressed;

    public GameMenu(int state){
    }

    public void init(GameContainer gamecontainer1, StateBasedGame statebasedgame1) throws SlickException{
    Game_Title = new Image("res/Game_Title.png");
    Backgruond = new Image("res/BG.png");
    play = new Image("res/Main_menu_buttons/play.png");
    play_hover = new Image("res/Main_menu_buttons/play_hover.png");
    play_pressed = new Image("res/Main_menu_buttons/play_pressed.png");
    quit = new Image("res/Main_menu_buttons/quit.png");
    quit_hover = new Image("res/Main_menu_buttons/quit_hover.png");
    quit_pressed = new Image("res/Main_menu_buttons/quit_pressed.png");
    option = new Image("res/Main_menu_buttons/options.png");
    option_hover = new Image("res/Main_menu_buttons/options_hover.png");
    option_pressed = new Image("res/Main_menu_buttons/options_pressed.png");
    }

    public void render(GameContainer gamecontainer1, StateBasedGame statebasedgame1, Graphics g1) throws SlickException{
            Backgruond.draw(0,0);
            play.draw(205,206);
            option.draw(205,286);
            quit.draw(205, 366);
            Game_Title.draw(0,-100);
            //Mouse Position
            g1.drawString(mousePos, 10, 25);
        }


    public void update(GameContainer gamecontainer1, StateBasedGame statebasedgame1, int delta1) throws SlickException{ 
    }
    public int getID(){
        return 1;
    }

}
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Have a look at this and this. You want the mouse position:

int mousePosX = Mouse.getX();
int mousePosY = Mouse.getY();

And check whether the mouse was clicked:

Mouse.isButtonDown(0);

The use Slick's Rectangle.contains(float x, float y) to see if the point is in the hitbox for your button. Let's assume you have a button with a Slick rectangle set up:

if(Mouse.isButtonDown(0) && buttonHitbox.contains(mousePosX, mousePosY)) {
    System.out.println("The button was clicked!");
}

Update:

if(quitRect.contains(Mouse.getX(), Mouse.getY()) {
    //draw hover image
    quit_hover.draw();
    //check if button is pressed
    if(Mouse.isButtonDown(0)) {
        System.out.println("Button pressed");
    }
}

This also draws the hover image.

Update II:

package lt.CobaltPlanet.nelixus.state;

import org.newdawn.slick.*;
import org.newdawn.slick.state.*;
import org.newdawn.slick.geom.*;


public class GameMenu extends BasicGameState{

    boolean playHover = false;
    Rectangle playRect;
    Image Backgruond,Game_Title;
    Image play,play_hover,play_pressed;
    Image option,option_hover,option_pressed;
    Image quit,quit_hover,quit_pressed;

    public GameMenu(int state){
    }

    public void init(GameContainer gamecontainer1, StateBasedGame statebasedgame1) throws SlickException{
    Game_Title = new Image("res/Game_Title.png");
    Backgruond = new Image("res/BG.png");
    play = new Image("res/Main_menu_buttons/play.png");
    playRect = new Rectangle(205, 206, play.getWidth(), play.getHeight());
    play_hover = new Image("res/Main_menu_buttons/play_hover.png");
    play_pressed = new Image("res/Main_menu_buttons/play_pressed.png");
    quit = new Image("res/Main_menu_buttons/quit.png");
    quit_hover = new Image("res/Main_menu_buttons/quit_hover.png");
    quit_pressed = new Image("res/Main_menu_buttons/quit_pressed.png");
    option = new Image("res/Main_menu_buttons/options.png");
    option_hover = new Image("res/Main_menu_buttons/options_hover.png");
    option_pressed = new Image("res/Main_menu_buttons/options_pressed.png");
    }

    public void render(GameContainer gamecontainer1, StateBasedGame statebasedgame1, Graphics g1) throws SlickException{
            Backgruond.draw(0,0);
            play.draw(205,206);
            option.draw(205,286);
            quit.draw(205, 366);
            if(playHover) play_hover.draw(205, 206);
            Game_Title.draw(0,-100);
            //Mouse Position
            g1.drawString(mousePos, 10, 25);
        }


    public void update(GameContainer gamecontainer1, StateBasedGame statebasedgame1, int delta1) throws SlickException{ 
        playHover = false;
        if(playRect.contains(Mouse.getX(), Mouse.getY()) {
            playHover = true;
            if(Mouse.isbuttonDown(0)) {
                System.out.println("The button was pressed!");
            }
        }
    }
    public int getID(){
        return 1;
    }

}

This is your code, I added the functionality for the play button. Now you should be able to do the rest by yourself.