Check checkbox hit button but checkbox will not stay checked - php

Question

I am not sure how to keep my checkbox checked after I hit the Apply button. I am thinking I have to add is_set to the output but I am not sure how or where to add it in. Here is my code below any help would be great.
<div id="product-filter-options">
<form method="GET">
<?php
$scooters = $_GET['scooters'];
$product_type = $_GET['product_type'];
$bike_sub_category = $_GET['bike_sub_category'];
$model_year = $_GET['model_year'];
?>
<?php
function get_terms_chekboxes($taxonomies, $args) {
$terms = get_terms($taxonomies, $args);
foreach($terms as $term) {
$output .= '<span><label for="'.$term->slug.'"><input type="checkbox" id="'.$term->slug.'" name="'.$taxonomies.'" value="'.$term->slug.'" >' .$term->name.'</label></span>';
}
return $output;
}
echo '<div class="check-contain">';
echo '<h4>Bicycle Brand</h4>';
echo get_terms_chekboxes('scooters', $args = array('hide_empty'=>true));
echo '<span class="slide-show-more">See More</span>';
echo '</div>';
echo '<div class="check-contain">';
echo '<h4>Bicycle Type</h4>';
echo get_terms_chekboxes('product_type', $args = array('hide_empty'=>true));
echo '<span class="slide-show-more">See More</span>';
echo '</div>';
echo '<div class="check-contain">';
echo '<h4>Bicycle Sub-Type</h4>';
echo get_terms_chekboxes('bike_sub_category', $args = array('hide_empty'=>true));
echo '<span class="slide-show-more">See More</span>';
echo '</div>';
echo '<div class="check-contain">';
echo '<h4>Model Year</h4>';
echo get_terms_chekboxes('model_year', $args = array('hide_empty'=>true));
echo '<span class="slide-show-more">See More</span>';
echo '</div>';
?>
<button type="submit">Apply</button>
Thanks in advance.