Question

Show that the points (1.0), (0.1) and (-3,4) lie on a straight line
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Answer 1

Step-by-step explanation:

Let the points be A(4, 2), B(7, 5) and C(9, 7). By the distance formula

AB

2

=(4−7)

2

+(2−5)

2

=(−3)

2

+(−3)

2

=9+9=18

BC

2

=(9−7)

2

+(7−5)

2

=2

2

+2

2

=4+4=8

CA

2

=(9−4)

2

+(7−2)

2

=5

2

+5

2

=25+25=50

So, AB=

18

=

9×2

=3

2

;BC=

8

=

4×2

=2

2

;CA=

50

=

25×2

=5

2

This gives AB+BC=3

2

+2

2

=5

2

=AC. Hence the points A, B and C are collinear.