VTMO 2026 - Grade 9 - Semifinal - SET 2 - Self-study Question 2

Question 2

In the coordinate plane Oxy, the line $y=-2x+3$ meets Ox and Oy at A and B respectively. A point I satisfies $[IAB]=[OAB]$. On which pair of lines must I lie?

Question illustration

$y=-2x$ and $y=x+3$
$y=-2x$ and $y=-2x+6$
$y=-2x+6$ and $y=x+3$
$y=x+3$ and $y=-x$
$y=-x$ and $y=-2x+6$