Answer:
y=-5/4x-1
Step-by-step explanation:
Since we have a point and the slope, we can use the point slope formula
[tex]y-y_{1} =m(x-x_{1})[/tex]
m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point
We know the slope is -5/4.
The point (-4,4) compared to (x,y): -4 is the x coordinate, and 4 is the y coordinate
y-4=-5/4(x--4)
y-4=-5/4(x+4)
Now, we need to solve for y, so we can get the equation in point slope form: y=mx+b
Distribute the -5/4
y-4= -5/4*x +4*-5/4
y-4= -5/4x-5
Add 4 to both sides
y-4+4=-5/4x-5+4
y= -5/4x-1
