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Question

Find the slope of a line passing through the following points:

(i) (3, 2) and (1, 4) (ii) (at21, 2 at1) and (at22, 2 at2) (iii) (3, 5), and (1, 2)

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Solution

(i) (3, 2) and (1, 4) Slope of line=y2y1x2x1=421(3)=24=12(ii) (a21, 2 at1) and (at22, 2 at2) Slope of liney2y1x2x1=2at22at1at22at21=2a(t2t1)a(t2t1)(t2+t1)=2t2+t1(iii) (3, 5), and (1, 2) Slope of line=y2y1x2x1=2(5)13=72=72


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