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

8-10.

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 $\overline{AB}$ ?

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

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

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

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

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

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

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Click the link at right for the full version of the eTool: INT2 8-10 HW eTool.