CPM Homework Help : CCA2 Problem 11-34

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11-34.

Given the points $A (3, 2)$ and $B (-21, 0),$ determine each of the following.

The slope of the line $\overleftrightarrow{AB}$ .
Step (a):
$\frac{(0) - (2)}{(-21) - (3)}$
Answer (a):
$\frac{1}{12}$

The length of $\overline { A B }$ .
Step (b):
$\sqrt{(-21-3)^2+(0-2)^2}$
Answer (b):
$\sqrt{580}$

The midpoint of $\overline { A B }$ .
Hint (c):
Take the average of the $x$ -values, and of the $y$ -values.

An equation of $\overleftrightarrow{AB}$ .
Hint (d):
Use the slope you found in part (a) to find the y-intercept and write an equation.

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