With the xcolor
package you can use red!<number>
notation, where <number>
represents what percent of that color is to be used. See the package documentation for more options:

To maintain consistency you can also use define your own colors:
\colorlet{ColorPink}{red!10}
as I have done for the last line in the image above.
Code:
\documentclass{article}
\usepackage{xcolor}
\usepackage{tikz}
\colorlet{ColorPink}{red!10}
\begin{document}
\begin{tikzpicture}
\draw [ultra thick, red ] (0, 0.0) -- (2, 0.0);
\draw [ultra thick, red!60] (0,-0.5) -- (2,-0.5);
\draw [ultra thick, red!30] (0,-1.0) -- (2,-1.0);
\draw [ultra thick, ColorPink] (0,-1.5) -- (2,-1.5);
\end{tikzpicture}
\end{document}