Answer:
y = -1/4x -1
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