### Home > INT2 > Chapter 8 > Lesson 8.1.1 > Problem8-10

8-10.
1. On graph paper, plot the points A(–3, –1) and B(6, 11). 8-10 HW eTool (Desmos). Homework Help ✎

1. What is the midpoint M of AB ?

2. Determine the coordinates of point P, on AB, that is of the way from A to B.

3. What is the equation of the line that passes through points A and B?

4. Calculate the distance between points M and P.

$\text{midpoint} = \left ( \frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} \right )$

Use the eTool below to visualize the problem.

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

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

Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: INT2 8-10 HW eTool.