Question

The slope of line joining P (3, a) and Q(1-2a,1)) is 1/3
Find (i) the value of a.
(ii) Midpoint of PQ using the value of ‘a’ found in part (i).

Answer 1

Step-by-step explanation:

slope=y2-y1/x2-x1

1/3=1-a/1-2a-3

1/3=1-a/-2-2a

-2-2a=3-3a

-5=5a

-1=a

let the midpoint of PQ be Y

Y(x,y)=(3+3/2 , -1+1/2)

=(6/2 , 0/2)

=(3 , 0)