GCSE Secondary Maths Age 13-17 - Graphs: Coordinates - Explained

The video tutorial explains how to solve a geometry problem involving points a, b, and c on a line. The task is to find the coordinates p and q, given that the distance from a to c is four times the distance from a to b. The instructor first calculates q by analyzing the x-coordinates and then finds p by examining the y-coordinates. The tutorial concludes with a discussion on mark allocation and tips for visualizing and solving similar problems.

What are the coordinates of point a?

• (2, 5)

• (4, p)

• (q, 17)

• (5, 2)

If the distance from a to c is 4 times the distance from a to b, and the x-coordinate of a is 2, what is the x-coordinate of c?

• 6

• 10

• 12

• 8

How many units is the distance from a to b if the total distance from a to c is 8 units?

• 4 units

• 2 units

• 8 units

• 6 units

What is the y-coordinate of point b if the total distance from 17 to 5 is divided proportionally?

• 9

• 6

• 7

• 8

What is the total gap between the y-coordinates of points a and c?

• 10

• 12

• 14

• 16