It is known that P1 (2,3), P2 (- 1,4), P is on the extension line of the straight line p1p2, and the vector | p1p | = 2 | PP2 |

It is known that P1 (2,3), P2 (- 1,4), P is on the extension line of the straight line p1p2, and the vector | p1p | = 2 | PP2 |

Since P is on the extension line of p1p2, then the ratio a of the P-component vector p1p2 = - 2, let P (x, y), then
x=[2+(-1)*(-2)]/(1-2)=-4.
y=[3+4*(-2)]/(1-2)=5,
So p (- 4,5)