Find the slope

Question

Find the slope of the line that passes through the pair of points.

 

(-a+1, b-1) and (a+1, -b)

Answer 1

slope = m = (change in y)/(change in x)=(y₂-y₁)/(x₂-x₁)

 

(x₁,y₁) = (-a+1,b-1)

(x₂,y₂) = (a+1,-b)

 

m = [(-b)-(b-1)] / [(a+1)-(-a+1)]

m = [-b-b+1] / [a+1+a-1]

m = [-2b+1]/[2a]

Answer 2

 

slope = 2b-1 / -2a  =  1-2b / 2a

 

Confirmation of Devi's answer .