Answer:
point slope form: y-(-4)=-3(x-1)
Slope intercept form: y=-3x-3
Explanation:
Point slope form formula: y-y1= m(x-x1)
(1,-4), (-1,3)
Slope formula x2-x1/ y2-y1
Plug in the information 3-(-4)/-1-1
Simplify: 6/-2 or -3
Use one of the coordinates for the equation: y-(-4)=-3(x-1)
I used the first coordinate.
Slope intercept form formula: y=mx+b
Slope=-3
Plug in information: y= -3x+b
To find b, plug in one of the coordinates.
-4=-1+b, subtract to isolate b
b=-3
Your equation: y=-3x-3
Hope this helps!