Answer:
x+4y=-28
Step-by-step explanation:
The equation of line in point-slope form is given by :
[tex](y-y_1)=m(x-x_1)[/tex]
We have,
[tex](x_1,y_1)=(-8,-5)\\\\m=\dfrac{-1}{4}[/tex]
So,
[tex](y-(-5))=\dfrac{-1}{4}\times (x-(-8))\\\\y+5=\dfrac{-1}{4}(x+8)\\\\4y+20=-x-8\\\\x+4y=-20-8\\\\x+4y=-28[/tex]
Hence, the required equation is x+4y=-28.
