Question

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

Answer 1

Answer:

nose porque está en una idioma que no se

Answer 2

Answer:

see explanation

Step-by-step 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

$m_{AB}$ = $\frac{5+1}{6+3}$ = $\frac{6}{9}$ = $\frac{2}{3}$

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

$m_{BC}$ = $\frac{3-5}{3-6}$ = $\frac{-2}{-3}$ = $\frac{2}{3}$

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