Answer: 5y + 2x = -31
Step-by-step explanation:
The equation of a line in point- slope form is given as :
y - [tex]y_{1}[/tex] = m ( x- [tex]x_{1}[/tex] )
[tex]x_{1}[/tex] = -3
[tex]y_{1}[/tex] = -5
m = [tex]\frac{-2}{5}[/tex]
Substituting into the formula , we have
y - ( - 5) = [tex]\frac{-2}{5}[/tex] (x - {-3} )
y + 5 = [tex]\frac{-2}{5}[/tex] ( x + 3 )
5 ( y + 5 ) = -2 ( x+ 3)
5y + 25 = -2x - 6
5y + 2x = -31
