Answer: y = x - 5
Solution:
Find the slope in order to find the line of equation
m= y2-y1/x2-x1
Take both the coordinates and name it A (4,-1) B(3,-2) for convenience
m = -2 - (-1) / 3-4
m = -2 + 1 / -1
m = -1 / - 1 >>> m= 1
Now find the y intercept using the equation below
y=mx+ b
where
y = y coordinate
m= slope
x= x coordinate
b= y intercept
SO
Note: use any of the coordinate the answer would be the same in either case
I will be using the coordinate (4,-1)
y=mx+b
-1 = (4)(1) + b
-1 - 4 = b
-5 = b
y = x - 5
