Two features of affine geometry make it an attractive topic in our studies at this point. First, affine geometry concerns the incidence relations in Euclidean geometry. This is a simple, accessible idea, and affine spaces are ubiquitous in mathematics. Second, affine geometry is based on linear algebra, which is fundamental in applications and in mathematics more generally. An introduction to affine geometry thus gives us an excuse to profer a quick refresher on the fundamentals of linear algebra.