# What is the slope of any line perpendicular to the line passing through (14,12) and (12,5)?

Feb 29, 2016

Slope = $- \frac{2}{7}$

#### Explanation:

Slope of the perpendicular line is $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{5 - 12}{12 - 14} = \frac{7}{2}$ We know the condition of perpendicularity of two lines is the product of their slopes will be equal to be $- 1$.i.e m_1*m_2=-1 ; m_1=7/2 :. m_2= -2/7[answer]