Lizard – Rotation and Reflection

2) Reflect the lizard across the line

$y = \frac{1}{2}x + 16$

First, rewrite the equation in the form:

$$A{x}_1+B{y}_1+C=0$$

The equation given is:

$$y = \frac{1}{2}x + 16$$

Multiply both sides by 2:

$$2y = x + 32$$

Rewrite in standard form (as above):

$$x – 2y + 32 = 0$$

In the equation above (in blue), we have:

$$A = 1, \quad B = -2, \quad C = 32$$

To find the

$x$

-value of the reflected point of each given point, we use the following equations: