Question

"11.Given collinear points A,B,C with endpoints A(-2) and C(8). What is the coordinate

of point B that is partitioned four-fifth from A to C"

A) 4
B) 6
C) 8
D) -2

Answer 1

To find the coordinate of point B that is four-fifths from A to C, multiply the distance from A to C by four-fifths and add it to the x-coordinate of A.

Step-by-step explanation:

To find the coordinate of point B that is partitioned four-fifth from A to C, we can use the concept of collinear points. Collinear points are points that lie on the same line. In this case, points A, B, and C are collinear.

The distance from A to C is 8 - (-2) = 10 units.

Since B is partitioned four-fifths of the way from A to C, we can find the position of B by multiplying the distance from A to C by four-fifths and adding it to the x-coordinate of point A.

Therefore, the x-coordinate of point B is -2 + (4/5) * 10 = 4.