Question

Two point divide the line segment joining (2, -3) and ( -4,- 6 ) into three equal parts. The coordinates of points are​

Answer 1

Answer:

(-2,-5) and (0,-4)

Step-by-step explanation:

From the second coordinate to the first one there is a difference of 6 on the x axis and 3 on the y axis.

This means that to split this into three parts the points need to be one third of the difference across on the x axis and one third of the difference up on the y axis.

6/3=2 and 3/3=1 so from the second coordinate you need to go two units right and one unit up to get one third across.

To get to the next third you then add this to the new point formed.

Eg. (-4,-6)+(2,1)=(-2,-5)

(-2,-5)+(2,1)=(0,-4)

These are then the two points which divide the line into thirds.

To check if you are right just add the values a third time and see if you get to the other original point.

Eg. (0,-4)+(2,1)=(2,-3)

This means it is correct.