Plugin: Contact Form
This tutorial, will hopefully teach you how to install WP Contact Form Plugin.
First of all, make sure you have the latest version. Click here.
1) Extract the files
2) Upload the folder to wp-content/plugins/
3) In your WordPress Admin Panel, activate the plugin
Click Plugins:

4) Find the right Plugin and click Activate

5) Go to Options, Contact Form, and edit the fields to your preference.
6) Use this quick tag to show your contact form. [CONTACT-FORM]
Note:
This will only work if you use a page created by WordPress and not of your own.