laravel eloquent get table 1 based on search of table 2 - laravel-5

Question

FIXED
So after many responses to this question I finally got my real question thought out and answered but it still leaves me wondering why eloquent can't handle the issue of
A->B->C
Given an object of A accessing all B items based on a value within C (name=script)
The below solution works and because laravel has scopes keeps things clean but I feel like there should be a easier and faster solution.
public function scopeType($query, $type)
{
return $query->join('article_image_types', 'article_image_types.id', '=', 'article_images.article_image_type_id')->where('name', $type);
}
if you have two tables image and image_type and I want to find all images with a specific type what would that look like in eloquent?
Say you have a type of "script" with id "1" I know I can do, from the image collection
where('image_type_id', '1')
but how would i do it so the below worked
where('name', 'script')
GOAL:
I want to be able to access this data easily from a blade file so something like the below using a scope
<input type="text" name="['image']['script']" value="{!! $article->articleimage()->type('script') !!}">
or even better accessing the images based on type through form model binding ['image']['script']
So this works
foreach($article->articleImages->all() as $item) {
dd($item->articleimagetype->name);
}
and will return "script"
But how do get only the one that says "script"
::UPDATE::
So I setup the scope but as I expected the problem I am trying to do this based on the secondary tables name so
$query->where('name', $type);
your solution would work if I wanted to do
$query->where('image_type_id', 1);
SQLSTATE[42S22]: Column not found: 1054 Unknown column 'name' in
'where clause' (SQL: select * from article_images where
article_images.article_id = 32 and article_images.article_id
is not null and name = script)
UPDATE
So doing the below produces what I want EXCEPT I don't get back a type name and i can't seem to get it back with has('articleimagetype') or has('articleimages.articleimagetype')
$article->articleImages()->whereHas('articleimagetype', function($query){
$query->where('name', 'script');
})->has('articleimagetype')->get();

Answer 1

Just use join:
\DB::table('image')
->join('image_type','image_type.id','=', 'image.image_type_id')
->where('image_type.name','=','script')
->get();
EDIT:
after your GOAL update, I see what you want. Laravel has a feature named query scope that will let you easily find the data the way you are trying to.
In your Articleimage model, create a scope:
public function scopeType($query, $type)
{
return $query->join('article_image_type','article_image_type.id','article_image.type_id')
->where('type', $type);
}
Then you can do $article->articleimage()->type('script').