Slope intercept form is defined as y=mx+b
Defining terms
Y is any y value on the the line
X is any x value in the line
M is the slope
B is the y intercept (0,b)
The problem is essentially asking you to find the value for b
To do this, we sub in the values we know
So, put the slope value in the formula
Y=(-1/4)x+b
From there, you can substitute the coordinate values provided and solve for b
-5=(-1/4)(-5)+b
-5=(5/4)+b
-6.25=b
So now we can rewrite the whole equation as
Y=(-1/4)x-6.25
Hope that helped!