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

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

   Hint (a):

    $\text{midpoint}=\left(\frac{x_1+x_2}{2}\frac{y_1+y_2}{2}\right)$

2. Find the point $P$, on $\overline {AB}$, that is $\frac { 2 } { 3 }$ of the way from $A$ to $B$.

   Hint (b):

   Use the eTool below to visualize the problem.

3. Find the equation of the line that passes through points $A$ and $B$.

   Hint (c):

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

4. Find the distance between points $M$ and $P$.

   Hint (d):

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