### Home > PC > Chapter 12 > Lesson 12.2.2 > Problem12-53

12-53.

For the line y = 1, all points are of the form (a, 1).

$(a,1)\begin{bmatrix}2&1\\-1&1\end{bmatrix}=(2a-1,2a+1)$

Hence x = 2a − 1 and y = a + 1.
Write an equation relating x and y.

$y=\frac{1}{2}x+\frac{3}{2}$

If you graphed the original line and its image, how would it relate to the original square and its image in parts (a) and (b)?