Let P1(x1, y1) and P2(x2, y2) be two given points. Let Q be the point .
(a) Show that the points P1, Q, and P2 are collinear. Hint: Compute the slope of and the slope of .
(b) Show that . (In other words, Q is on the line segment and two-thirds of the way from P1 to P2.)
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