undefined reference to `GlewInit' - OpenGL

I get this error when trying to make the executable, the code compiles correctly and yet when I hit the make command I get this error message:

gcc -c helloworld.c
lewis@lewis-desktop ~/Desktop/Dev/gl $ make
gcc -o hello-gl helloworld.o -L/usr/X11R6/lib -lGL -lglut -lGLEW -lm
helloworld.o: In function `Initialize':
helloworld.c:(.text+0x55): undefined reference to `GlewInit'
collect2: ld returned 1 exit status
make: *** [helloworld] Error 1

I'm running Linux Mint 13 and I think it's something to do with my makefile, I don't know too much about them so I hacked one together and found some code online:

GL_INCLUDE = /usr/X11R6/include
GL_LIB = /usr/X11R6/lib
GL_GLEW = /user/include

helloworld: helloworld.o
    gcc -o hello-gl $^ -L$(GL_LIB) -lGL -lglut -lGLEW -lm

.c.o:
    gcc -c -o $@ $< -I$(GL_INCLUDE)

clean:
    rm -f hello-gl hello-gl-dummy hello-gl.o util.o hello-gl-dummy.o

My Code:

#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <GL/glew.h>
#include <GL/freeglut.h>
#define WINDOW_TITLE_PREFIX "Hello, World!"

int CurrentWidth = 600,
    CurrentHeight = 400,
    WindowHandle = 0;

void Initialize(int, char*[]);
void InitWindow(int, char*[]);
void ResizeFunction(int, int);
void RenderFunction(void);

int main(int argc, char* argv[])
{
    Initialize(argc, argv);

    glutMainLoop();

    exit(EXIT_SUCCESS);
        return 0;
}

void Initialize(int argc, char* argv[])
{
    GLenum GlewInitResult;
    InitWindow(argc, argv);
        GlewInitResult = GlewInit();
        if (GLEW_OK != GlewInitResult) {
            fprintf(stderr, "ERROR: %s\n", glewGetErrorString(GlewInitResult));
            exit(EXIT_FAILURE);
        }

    fprintf(
        stdout,
        "INFO: OpenGL Version: %s\n",
        glGetString(GL_VERSION)
    );

    glClearColor(0.2f, 1.0f, 0.8f, 0.3f);
}

void InitWindow(int argc, char* argv[])
{
    glutInit(&argc, argv);

    glutInitContextVersion(4, 0);
    glutInitContextFlags(GLUT_FORWARD_COMPATIBLE);
    glutInitContextProfile(GLUT_CORE_PROFILE);

    glutSetOption(
        GLUT_ACTION_ON_WINDOW_CLOSE,
        GLUT_ACTION_GLUTMAINLOOP_RETURNS
    );

    glutInitWindowSize(CurrentWidth, CurrentHeight);

    glutInitDisplayMode(GLUT_DEPTH | GLUT_DOUBLE | GLUT_RGBA);

        char *states[] = {"Hello", "My", "Name", "Is", "Lewis"};

    WindowHandle = glutCreateWindow(WINDOW_TITLE_PREFIX);

    if(WindowHandle < 1) {
        fprintf(
            stderr,
            "KERN_ERROR: Could not create a new rendering window.\n"
        );
        exit(EXIT_FAILURE);
    }

    glutReshapeFunc(ResizeFunction);
    glutDisplayFunc(RenderFunction);
}

void ResizeFunction(int Width, int Height)

    {
        /*captures the resize data from the OS and assigns it to the global
         variable CURRENT_WIDTH & CURRENT_HEIGHT */

    CurrentWidth = Width;
    CurrentHeight = Height;
    glViewport(0, 0, CurrentWidth, CurrentHeight);
}

void RenderFunction(void)
{
    glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
    /*the next line takes the data from the back-buffer to the screen */

    glutSwapBuffers();
    glutPostRedisplay();
}

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