Answer:
Y = X+4
Explanation:
They are asking for the equation Y = mX + b
Therefore we need to find the slope and the interception of the given points.
The slope of the line AB
mAB= (yB -yA) / (xB -xA)
The data given is: A (-1, 3) and B (-3, 1)
Then the slope is: mAB= (1 -3) / (-3 -(-1)) = 1
From the equation Y = mX + b, clear b
b = Y - mX
Now substitute any given point to find the interception (b) in the equation
b = Y - mX
Lets choose point A (-1, 3), remember mAB= 1
b = 3 - ( 1(-1)) = 4
b = 4
Therefore the general equation is:
Y = mX + b --> Y = 1X + 4 --> Y = X+4