Calculating Coordinates in Examples

This video tutorial explains how to find the coordinates of a point located a fractional distance along a line segment. It includes two examples: Example 6A, which calculates a point 2/3 of the way from (2, -6) to (11, -3), and Example 6B, which finds a point 1/4 of the way from (3, 5) to (-5, 10). The instructor emphasizes the importance of understanding the starting and ending points and provides a formula to calculate the new coordinates. The video encourages viewers to practice by pausing and attempting the examples independently.

What is the main topic discussed in the video?

• Finding coordinates of a point a fractional distance along a line segment

• Finding the midpoint of a line segment

• Calculating the slope of a line

• Determining the length of a line segment

What is the first step in solving these examples?

• Draw a quick sketch

• Calculate the midpoint

• Find the slope

• Determine the length of the segment

In Example 6A, what is the starting point?

• (3, 5)

• (11, -3)

• (2, -6)

• (-5, 10)

What is the fractional distance used in Example 6A?

• 1/2

• 3/4

• 2/3

• 1/4

What is the ending point in Example 6A?

• (-5, 10)

• (3, 5)

• (11, -3)

• (2, -6)

How is the new x-coordinate calculated in Example 6A?

• Starting x + fractional amount * (ending x - starting x)

• Ending x - fractional amount * (starting x + ending x)

• Starting x - fractional amount * (ending x + starting x)

• Ending x + fractional amount * (starting x - ending x)

What is the new x-coordinate in Example 6A?

• 9

• 6

• 8

• 7

What is the starting y-coordinate in Example 6A?

• -3

• -6

• 4

• 11

What is the new y-coordinate in Example 6A?

• 2

• 3

• 4

• 5

What is the final coordinate point found in Example 6A?

• (9, 5)

• (6, 2)

• (7, 3)

• (8, 4)