Point P is the centroid of LMN. Find PN

PN = 14

QP = 7

Step-by-step explanation:

Extend PQ to R so that QR=PQ

MQ = QL  (known, mid-point)

MPLR is parallelogram (diagonal bisect each other)

MP // RL          NP/PR = NE/EL = 1/1 (E mid-point, known)

NP = PR

PQ = QR = 1/2 PR = 1/2 NP

NP = 2 PQ

NP + PQ = 2PQ + PQ = 3 PQ = QN = 21

PQ = 7

PN = 14

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )