Using determinants, find the equation of the line joining the points
(1, 2) and (3, 6)

Question

Using determinants, find the equation of the line joining the points (1, 2) and (3, 6)

Philoid · Accepted Answer

Given: – (1, 2) and (3, 6) are collinear points

Tip: – For Three points to be collinear, the area of the triangle formed by these points will be zero

Now, we know that,

Vertices of a triangle are (x₁,y₁), (x₂,y₂) and (x₃,y₃), then the area of the triangle is given by:

Now,

Let, 3^rd point be (x,y)

Substituting given value in above formula

⇒

Expanding along R₁

⇒

⇒ [x(– 4) – y(– 2) + 1(0)] = 0

⇒ – 4x + 2y = 0

⇒ y = 2x

It’s the equation of line

Using determinants, find the equation of the line joining the points(1, 2) and (3, 6)