inton the line. Complete the figure as in the diagram. Then MP=XP-XM^XP-OB = y-h; and BM=ON=x. V -1) MP Hence ^ = -4- = tan PBJ/=tan 0: X BM or y = x tan d+h,which is the equation required. 42 Analytical (teometry. It is couvenieut to replace tan 0 by m, so that theequation becomes y = mx + h,where… … Let PAB be the straight line, B the angle PAKwhich it makes ^Yit\i the axis of x, and a its interceptOA on the axis of x. Let P {x, ij) be any point onthe line. Complete the figure as in the diagram. Then XP=y; and Ay= OX-OA = x - ay XP Therefore tan PAX^iSinO) x- a AX or y = {x- a) tan 6,which is…
Geometry, Analytic
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