Line passing through (4,-1) and (3,-2)

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