Question

Find the equation of the line
joining the points A (1,2)
and B(-3,-2) using
determinants​

Answer 1

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Determinants

Area of Triangles using Determinants

Find equation of line joini...

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Asked on December 27, 2019 by

Narottam Gaddula

Find equation of line joining (1,2) and (3,6) using determinants.

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ANSWER

Let P(x,y) be any point on the line joining points A(1,2) and B(3,6)

Then, the points A, B and P are collinear. Therefore, the area of triangle ABP will be zero.

2

1

∣

∣

∣

∣

∣

∣

∣

∣

1

3

x

2

6

y

1

1

1

∣

∣

∣

∣

∣

∣

∣

∣

=0

⇒6−y−6+2x+3y−6x=0

⇒y=2x

Hence, the equation of the line joining the given points is y=2x.