Question

Plot the points A (6,6),B(4,4),C(-1,-1) in the cartesian plane and show that the points are collinear.

Answer 1

Given :  points A (6,6),B(4,4),C(-1,-1)

To Find :  show that the points are collinear.

Solution:

points A (6,6),B(4,4),C(-1,-1)

if slope of AB = slope of AC  then points are collinear

Slope of AB = ( 4 - 6)/(4 - 6)   = 1

Slope of AC = ( -1 - 6)/(-1 - 6) = 1

Slope of AB = Slope of AC

Hence points are collinear

Another method

points are collinear if Area = 0

= (1/2) | 6 (4 -(-1)) - 4(6 -(-1))  - 1(6 - 4) |

= (1/2) |  30 - 28  - 2 |

= (1/2) | 0 |

=  0

Hence points are collinear

Learn More:

Using determinants, show that the following points are collinear. (i) A .

https://brainly.in/question/7302665

https://brainly.in/question/1593306

Collinear points by trigonometry value are A

brainly.in/question/8431774

Answer 2

Hope it helps you!!!✅✅✅✅✅✅

Please mark me as a brainliest person

If it helped you really please give a like and rate atleast 4 stars please!!!