Answer :
Answer:
The standard equation is [tex]5y+9x=-56[/tex].
Step-by-step explanation:
Consider the provided points.
To find the standard equation of line use two point slope form.
[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute [tex]\left(x_1,\:y_1\right)=\left(-4,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-9,\:5\right)[/tex] in above formula.
[tex](y-(-4))=\frac{5-\left(-4\right)}{-9-\left(-4\right)}(x-(-4))[/tex]
[tex](y+4)=\frac{9}{-5}(x+4)[/tex]
[tex](y+4)=-\frac{9}{5}(x+4)[/tex]
[tex]5y+20=-9x-36[/tex]
[tex]5y+9x=-36-20[/tex]
[tex]5y+9x=-56[/tex]
Hence, the standard equation is [tex]5y+9x=-56[/tex].