Respuesta :

Answer:

y = -1/4x -1

Step-by-step explanation:

Mathematically, we have the slope intercept form as;

y = mx + b

where m is the slope and b is the y-intercept

from the question;

m is -1/4

So we have :

y = -1/4x + b

To get the value of b, we substitute the coordinates given and solve for b

Firstly, multiply through by 4

That will

give ;

4y = -x + 4b

4(-4) = -12 + 4b

-16 = -12 + 4b

-16 + 12 = 4b

4b = -4

b = -4/4

b = -1

So the equation in the slope intercept form is;

y = -1/4x -1