Assuming you are on a front end entry form editing an entry, there are a few steps to this.
First get all assets a user can choose from:
{% set allImages = myAssetQuery.all() %}
Next, get the ids of already chosen assets:
{% set alreadyChosenImages = entry.businessStandardImages.ids() %}
Loop over all images, check the ones already selected:
{% for image in allImages %}
<div>
<label>{{ image.title }}
{{ input(
'checkbox',
'fields[businessStandardImages][]',
image.id,
{ checked: image.id in alreadyChosenImages }
) }}
</label>
</div>
{% endfor %}
Altogether:
{# Get all possible assets #}
{% set allImages = myAssetQuery.all() %}
{# Get the currently related asset IDs #}
{% set alreadyChosenImages = entry is defined
? entry.businessStandardImages.ids()
: [] %}
{# Loop over images and check any already selected ones #}
{% for image in allImages %}
<div>
<label>{{ image.title }}
{{ input(
'checkbox',
'fields[businessStandardImages][]',
image.id,
{ checked: image.id in alreadyChosenImages }
) }}
</label>
</div>
{% endfor %}
There is also a complete example in the documentation.