Question

The line $2x + 3y = 36$ intersects the x-axis at P and the y-axis at Q.
M is the midpoint of PQ.
Find the column vector OM where O is the origin

Answer 1

P=2x+0=36=>p=(18,0).
Q=0+3y=36=>Q=(0,12).
M=(9,6).
Column vector om is; 9i + 12j.

Answer 2

Answer:

Column Vector (9,6)

X axis at P  = 2x + 0 = 36 = p(18,0)

Y axis at Q = 0 + 3Y = 26 = q(0,12)

For midpoint use

(X1 + X2)/2 ,  (Y1 +Y2)/2

(18 + 0)/2  ,  (12 + 0 )/2

18/2 , 12/2

9  , 6

THE COLUMN VECTOR WOULD BE = (9 , 6)