# How do you write the point slope form of the equation given (-6,10) and (2,-5)?

Aug 30, 2017

The equation of line in point slope form is $y - 10 = - \frac{15}{8} \left(x + 6\right)$

#### Explanation:

Slope of line passing through $\left(- 6 , 10\right) \mathmr{and} \left(2 , - 5\right)$ is

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{- 5 - 10}{2 + 6} = - \frac{15}{8}$

The equation of line passing through $\left(- 6 , 10\right)$ in point slope

form is $y - {y}_{1} = m \left(x - {x}_{1}\right) \mathmr{and} y - 10 = - \frac{15}{8} \left(x + 6\right)$ [Ans]