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Question

Find the slope of the line passing through the points P(7,3) and Q(0,4) and find slope of line (i) parallel to PQ (ii) perpendicular to PQ.

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Solution

Let (x1,y1)=(7,3) and (x2,y2)=(0,4)
Slope=y2y1x2x1=4307=77
Slope=1
Slope of PQ=1
(i) Slope of a line parallel to PQ=1 [ for parallel lines, m1=m2]
(ii) Slope of a line perpendicular to PQ=1[ for perpendicular lines, m1×m2=1]

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