53. DISCUSS - DISCOVER - WRITE: Distance from a Point to a Line Let L be the line 2x + 4y = 8, and let P be the point (3,4). (a) Show that the points Q(0, 2) and R(2, 1) lie on L. (b) Let u = QP and v = QR, as shown in the figure. Find w = proj, u. (c) Sketch a graph that explains why | u – w| is the dis- tance from P to L. Find this distance. (d) Write a short paragraph describing the steps you would take to find the distance from a given point to a given line. R

Q: 5, 7)

A: distance = x2-x12+y2-y12

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