### Home > GB8I > Chapter 11 Unit 12 > Lesson INT1: 11.1.3 > Problem11-32

11-32.

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

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

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

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

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

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

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

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

Use the eTool below to solve each part of the problem.
Click the link at the right to view full version of the eTool: Int1 11-32 HW eTool.