GCSE Maths - Using Ratios to Find the Coordinates of a Point On a Line #73

The video tutorial explains how to use ratios to find the coordinates of an unknown point along a line segment. It begins by introducing the concept of ratios and how they can be converted into fractions for easier calculation. The tutorial then provides a step-by-step guide on calculating the coordinates of a point using these ratios. An example problem is solved to demonstrate the process, emphasizing the importance of sketching graphs for better understanding. The tutorial concludes with a practical application of these concepts in an exam-style question.

What is the initial step in finding the coordinates of an unknown point along a line using ratios?

• Understand the meaning of the given ratio.

• Identify the midpoint of the line segment.

• Determine the total length of the line segment.

• Convert the coordinates into polar form.

How do you convert a ratio into fractions for easier calculation?

• Add each part of the ratio to the total sum.

• Subtract each part of the ratio from the total sum.

• Multiply each part of the ratio by the total sum.

• Divide each part of the ratio by the total sum.

If the ratio of AC to CB is 2 to 1, what fraction of the line segment does AC represent?

• 1/2

• 2/3

• 3/4

• 1/3

What is the next step after finding the change in X and Y values when calculating the coordinates of point C?

• Find the fraction of the changes using the ratio.

• Multiply the changes by the ratio.

• Subtract the changes from the coordinates of point A.

• Add the changes to the coordinates of point B.

In the exam-style question, what is the change in X when moving from point A (-6) to point B (9)?

• 6

• 25

• 15

• 9

What is the final step in determining the coordinates of point C in the exam-style question?

• Divide the calculated values by the ratio.

• Multiply the calculated values by the ratio.

• Add the calculated values to point A's coordinates.

• Subtract the calculated values from point B's coordinates.

What is the Y coordinate of point C in the exam-style question?

• 7

• 4

• 14

• 11