# What is the equation of the line with slope  m= -31/25  that passes through  (-6/5 11/10) ?

Mar 9, 2018

color(purple)(155x + 125y -939 = 0

#### Explanation:

Given : $m = - \left(\frac{31}{25}\right) , {x}_{1} = - \left(\frac{6}{5}\right) , {y}_{1} = \left(\frac{11}{10}\right)$

Slope point form of equation is $y - {y}_{1} = m \left(x - {x}_{1}\right)$

y - (11/10) = - (31/25) * (x + (6/5)

$25 y - 225 = - 31 x - \frac{186}{5}$

$125 y - 1125 = - 155 x - 186$

color(purple)(155x + 125y -939 = 0

graph{(-155x + 939) / 125 [-10, 10, -5, 5]}