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2-10.

2-10. The slope $\overline { A B }$ 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.  Homework Help ✎

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.

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

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