Question

A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4. Point A is at -6 and point B is at 2. The student's work is shown .

Answer 1

To find point C that partitions the line segment from point A to point B in a ratio of 3:4, we need to determine the coordinates of point C on the number line.

Step-by-step explanation:

To find point C that partitions the line segment from point A to point B in a ratio of 3:4, we need to determine the coordinates of point C on the number line.

First, we find the total length of the segment by subtracting the coordinates of point B from point A: 2 - (-6) = 8.

Next, we find the distance that represents 3/7 of the total length: (3/7) * 8 = 24/7 = 3.43. So, point C is 3.43 units away from point A in the positive direction.