Hi, it looks like that image is added via the theme's options page, you won't be able to choose a slideshow from that options page, but you can pretty easily edit your theme's homepage template to replace it with a slideshow.
Edit the theme's front-page.php file and delete this bit of code that starts on line 40:
<?php if ( get_option('inkthemes_slideimage1') !='' ) { ?>
<div class="images"><img title="slideimage1" src="<?php echo get_option('inkthemes_slideimage1'); ?>" alt="" /></div>
<?php } else { ?>
<div class="images"><img title="Top Section" src="<?php echo get_template_directory_uri(); ?>/images/iphone-slide.png" alt="" /></div>
<?php } ?>
Replace it with this code to add the slideshow:
<div class="images"><?php if ( function_exists( 'meteor_slideshow' ) ) { meteor_slideshow(); } ?></div>