# What is the slope of any line perpendicular to the line passing through (11,12) and (-15,-2)?

Apr 21, 2016

${m}_{2} = - \frac{13}{7}$

#### Explanation:

$\text{slope of line passing trough (11,12) and (-15,-2) is: } {m}_{1} = \frac{7}{13}$

${m}_{2} : \text{ slope of line that is perpendicular to the line passing A,B}$

${m}_{1} \cdot {m}_{2} = - 1$

$\frac{7}{13} \cdot {m}_{2} = - 1$

${m}_{2} = - \frac{13}{7}$