On graph paper, graph $ΔABC$ if $A(−4, −3)$, $B(−6, −1)$, and $C(−8, −5)$.   

1. What is $\overline{AB}$ (the length of $\overline{AB}$)?

   Hint (a):

   Use the Pythagorean Theorem to find the length of $\overline{AB}$.

2. Reflect $ΔABC$ across the $x$-axis to form $ΔA′B′C′$. What are the coordinates $B′$? Describe a function, $(x, y) → (?, ?)$, that would map the coordinates of $ΔABC$ to $ΔA′B′C′$.

   Hint (b):

   When describing a function for a transformation, look at one point and its image and determine what changes happen to the $x$-coordinate and the $y$-coordinate.