Laravel eloquent multiple table join with filter

There are theree tables in my system.

1. Students
2. Articles
3. categories

Student can write many articles and a article is belong to just one student. And A Article can have only one category.

Controller

public function all_articles_by_student_by_category(Request $request){


        $students_id = $request->students_id;
        $categories_id = $request->categories_id;


        $article_list = Students::find($students_id)->articles->all();

        //This return Something like, Select All Articles Written by Damith
    }

Model

class Students extends Model
{
    protected $fillable = ['id','first_name', 'last_name', 'age', 'created_at', 'updated_at'];

    public function articles()
    {
        return $this->hasMany('App\Articles');
    }
}

What I am try to get

Something like, Select All Articles Written by Damith for Technology Category (Category Name should be there)

What I able to do so far

Something like, Select All Articles Written by Damith using $article_list = Students::find($students_id)->articles->all(); (You can find this code from controller)

What I want from you

How do I modify $article_list = Students::find($students_id)->articles->all(); to get, something like, Select All Articles Written by Damith for Technology Category. (Category name must be there in result and it is on category table, and for where condtion you can use the category_id which is i the article table )

via Chebli Mohamed