On graph paper, plot the points $A(−3, −1)$ and $B(6, 11)$. .

1. Determine the midpoint $M$ of $\overline{AB}$.

   Hint (a):

   $\text{midpoint}=(\frac{x_1+x_2}{2},\frac{y_{1\ }+y_2}{2})$

2. Write the equation of the line that passes through points $A$ and $B$.

   Hint (b):

   What is the y-intercept?
   What is the slope?

   More Help (b):

   $\text{Slope}=\frac{\text{rise}}{\text{run} }$

3. Calculate the distance between points $M$ and $B$.

   Help (c):

   Use a slope triangle drawn between M and P, and the Pythagorean Theorem to find the distance.