CPM Homework Help : CCA2 Problem 2-10

The slope of $\overline { A B }$ of is $5$ , with points $A(−3,−1)$ and $B(2,n)$ . Find the value of $n$ and the distance between points $A$ and $B$ .

Hint:

Use the slope formula. If you need help with it, look in the glossary.
Substitute in the $x$ - and $y$ -values and solve for $n$ .

Answer 1:

$\frac{n-(-1)}{2-(-3)}=5$
$n=24$

More Help:

To find the distance between the points, recall the Pythagorean Theorem.

Answer 2:

$\sqrt{(24-(-1))^2+(2-(-3))^2}=\sqrt{625+25}$
$\sqrt{650}=5\sqrt{26}$