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=y2−y1x2−x1=4−21−(−3)=24=12(ii) (a21, 2 at1) and (at22, 2 at2) Slope of liney2−y1x2−x1=2at2−2at1at22−at21=2a(t2−t1)a(t2−t1)(t2+t1)=2t2+t1(iii) (3, −5), and (1, 2) Slope of line=y2−y1x2−x1=2−(−5)1−3=7−2=−72

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