Finding Coordinates and Ratios

This video tutorial explains how to use ratios to find the coordinates of an unknown point along a line segment. It begins with an introduction to the concept of ratios and their conversion into fractions. The tutorial then provides a detailed, step-by-step guide on calculating the coordinates of a point C, which lies on a line segment between two known points A and B, using the given ratio. An exam-style question is also solved to demonstrate the application of these concepts. The video concludes with a summary of the key points covered.

What is the primary goal of using ratios in the context of this video?

• To calculate the slope of a line

• To identify the midpoint of a line segment

• To determine the coordinates of an unknown point

• To find the length of a line segment

How do you convert a ratio into fractions?

• By adding each number to the total sum

• By multiplying each number by the total sum

• By dividing each number by the total sum

• By subtracting each number from the total sum

What does the fraction 2/3 represent in the context of the line segment?

• The entire length of the line segment

• The portion of the line segment from A to C

• The portion of the line segment from C to B

• The midpoint of the line segment

What is the first step in finding the coordinates of point C?

• Draw a graph of the line segment

• Find the slope of the line segment

• Calculate the midpoint of the line segment

• Determine the total change in x and y coordinates

How do you find the change in x and y coordinates?

• By dividing the coordinates of point A by point B

• By subtracting the coordinates of point A from point B

• By multiplying the coordinates of points A and B

• By adding the coordinates of points A and B

In the example problem, what is the ratio of AC to CB?

• 2 to 1

• 3 to 2

• 1 to 2

• 2 to 3

What is the purpose of sketching a graph for these types of problems?

• To determine the length of the line segment

• To calculate the slope of the line

• To visualize the problem and understand the ratio

• To find the exact coordinates of point C

What is the change in x when moving from point A to point B in the example problem?

• 9

• 15

• 6

• 25

What is the change in y when moving from point A to point B in the example problem?

• 6

• 15

• 9

• 25

What is the final coordinate of point C in the example problem?

• (2, 1)

• (9, 14)

• (3, 4)

• (6, 7)