### Home > CCA2 > Chapter 2 > Lesson 2.1.1 > Problem2-10

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 $B$.

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

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

$n=24$

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

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

$\sqrt{650}=5\sqrt{26}$