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# Graph Triangles

##### Age 14 to 16 Short Challenge Level:

This is the graph of the line $y=-2x+12$.

Point P is on this line.

The ratio of the area of the red triangle to the area of the blue triangle is $1:4$.

Find the coordinates of point $\text P$.

This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.