Let $A = \left(1, 4\right)$ and $B = \left(5, −2\right)$.

1. Find the distance from $A$ to $B$.

   Hint (a):

   Use the distance formula or sketch the two points and use the pythagorean theorem.

2. Find the midpoint of $\overline{A B}$.

   Hint (b):

   $\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$

3. Write the equation of the line through the points $A$ and $B$ in point-slope form.

   Hint (c):

   $y − y_{1} = m\left(x − x_{1}\right)$