Answer: 5y+ 4x +30 = 0
Step-by-step explanation:
The formula for finding the equation of line when two points are given is :
[tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2} -x_{1}}[/tex]
[tex]x_{1}=-5[/tex]
[tex]x_{2}=5[/tex]
[tex]y_{1}=2[/tex]
[tex]y_{2}=-6[/tex]
substituting into the formula , we have :
[tex]\frac{y-2}{x-(-5)}=\frac{-6-2}{5-(-5)}[/tex]
[tex]\frac{y-2}{x+5} = \frac{-8}{10}[/tex]
we have:
[tex]\frac{y-2}{x+5}=\frac{-4}{5}[/tex]
which will give :
[tex]5(y+2) = -4(x+5)[/tex]
which will be :
[tex]5y + 10 = -4x - 20[/tex]
writing in standard form , we have :
[tex]5y+ 4x +30 = 0[/tex]
