# How do you find the value of a given the points (-9,7), (a,5) with a distance of sqrt29?

##### 1 Answer
Jul 8, 2016

$a = - 4$ or $a = - 15$

#### Explanation:

Apply distance formula,

$29 = {\left(- 9 - a\right)}^{2} + {\left(7 - 5\right)}^{2}$

Simplify , $29 = {\left(9 + a\right)}^{2} + 4$

Or, $25 = {\left(9 + a\right)}^{2}$

Or, $9 + a = \pm 5$

so

$a = - 4$ or $a = - 15$