Partition Points and Ratios

The video tutorial explains how to find the coordinates of a point on a directed line segment. It starts by introducing the problem and setting up the equation for the X coordinate. The tutorial then walks through the calculation of both the X and Y coordinates using a given ratio. Finally, it verifies the solution and concludes with the correct coordinates.

What does the term 'directed line segment' refer to in the context of this problem?

• A line segment that is infinite

• A line segment that is curved

• A line segment with no specific direction

• A line segment with a specified direction from one endpoint to another

What are the coordinates of the starting point (x1, y1) in this problem?

• (5, -6)

• (-10, 4)

• (-5, -6)

• (10, -4)

How is the ratio of partition represented in the problem?

• 2:3

• 3:2

• 1:4

• 4:1

What is the formula used to find the x-coordinate of the partition point?

• x1 + (ratio * (x2 - x1))

• x1 - (ratio * (x2 - x1))

• x1 + (ratio / (x2 - x1))

• x1 - (ratio / (x2 - x1))

What is the y-coordinate of the partition point calculated in the video?

• 4

• -6

• 2

• -9

What are the final coordinates of the partition point?

• (-5, -6)

• (9, -2)

• (-10, 4)

• (-9, 2)