# How do you write the equation in point slope form given (-2,-7); m=8/3?

Mar 9, 2018

Point slope form of equation is $y + 7 = \left(\frac{8}{3}\right) \cdot \left(x + 2\right)$

#### Explanation:

Given : ${x}_{1} = - 2 , {y}_{1} = - 7 , m = \frac{8}{3}$

Point slope form of equation is y - _1 = m (x _ x_1

color(green)(y + 7 = (8/3) * (x + 2)

$3 y + 21 = 8 x + 16$

Equation in standard form color(brown)(-8x + 3y + 5 = 0