Determine whether the points are collinear(1 ) A( 1, -3 ), B( 2, -5),

1.	Determine whether the points are collinear(1 ) A( 1, -3 ), B( 2, -5), C( -4, 7)
Answer» Explanation -Let the Points A(1,-3), B(2,-5), C(-4,7) beA(x₁, y₁), B(x₂,y₂), C(x₃,y₃). Let us first find the Slope of AB, y(2) - y(1)m= ---------------- x(2) - x(1) ∴m = (-5 + 3)/(2 - 1) = -2/1 =-2 Now For th Slope of BC,= (7 + 5)/(-4 - 2) = 12/-6 = -2 Since, the Slope of both the lines AB, and BC are same therefore, Points are Collinear.

Determine whether the points are collinear(1 ) A( 1, -3 ), B( 2, -5), C( -4, 7)

Answer»

Explanation -Let the Points A(1,-3), B(2,-5), C(-4,7) beA(x₁, y₁), B(x₂,y₂), C(x₃,y₃).

Let us first find the Slope of AB, y(2) - y(1)m= ---------------- x(2) - x(1)

∴m = (-5 + 3)/(2 - 1) = -2/1 =-2

Now For th Slope of BC,= (7 + 5)/(-4 - 2) = 12/-6 = -2

Since, the Slope of both the lines AB, and BC are same therefore, Points are Collinear.