Question

Prove that the points A (-3,-1), B(6,5) and C (3,3) are collineas

Answer 1

see explanation

Explanation:

To show the points are collinear, that is lie on the same line.

Then the slope between A and B, B and C must be equal

Calculate slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = A(- 3, - 1) and (x₂, y₂ ) = B(6, 5)

`m_(AB)` =
`(5+1)/(6+3)` =
`(6)/(9)` =
`(2)/(3)`

Repeat with (x₁, y₁ ) = B(6, 5) and (x₂, y₂ ) = C(3, 3)

`m_(BC)` =
`(3-5)/(3-6)` =
`(-2)/(-3)` =
`(2)/(3)`

Since the slope between the 2 segments are equal and there is a common point B.

Then the points A, B and C are collinear

Answer 2

nose porque está en una idioma que no se