Respuesta :

The slope is

[tex]\frac{-13-31}{1-(-10)}=-4 [/tex]

So, the equation is

[tex]y+13=-4(x-1)

[/tex]

The y-intercept is when x=0, so

[tex]y+13=-4(0-1) \\ \\ y+13=4 \\ \\ \boxed{y=-9}[/tex]