Question

1. Show that the points are collinear and find the equation of the line through the points(1,11),(2,15),(-3,-5)​

Answer 1

Answer:

I don't know the answer.

Answer 2

Step-by-step explanation:

Given

A(1,11), B(2,15), C(-3,-5)

Slope of AB = (x₂ - x₁)/(y₂ - y₁)

                    = (15 - 11)/(2 - 1)

                    = 4

Slope of BC = (x₂ - x₁)/(y₂ - y₁)

                    = (-5 - 15)/(-3 - 2)

                    = 4

Slope of AB = Slope of BC

Therefore, Points are collinear.

Now,

Equation of AB = Equation of ABC

⇒ y - 11 = (15 - 11)/(2 - 1) * (x - 1)

⇒ y - 11 = 4x - 4

⇒ 4x - y + 7 = 0

Hope it helps!