GCSE Secondary Maths Age 13-17 - Graphs: Coordinate Geometry - Explained

The video tutorial covers two main parts: calculating the midpoint of a line segment and determining if a point lies on a line using gradients. Part A involves finding the midpoint of points A and B, while Part B focuses on proving whether point D lies on the line through A and B by comparing gradients. The tutorial provides step-by-step instructions and highlights the importance of understanding coordinate geometry.

What is the first step in finding the midpoint of a line segment between two points?

• Subtract the y-coordinates of the points

• Divide the coordinates of the points

• Add the x-coordinates of the points

• Multiply the coordinates of the points

How do you calculate the gradient of a line segment?

• By multiplying the coordinates

• By adding the x-coordinates

• By subtracting the y-coordinates

• By dividing the difference in y by the difference in x

What is the gradient of the line segment AB if point A is (-2, 4) and point B is (8, 9)?

• 1/2

• 5/10

• 2/3

• 3/4

Why does point D not lie on the line AB?

• Because point D is not between A and B

• Because point D has negative coordinates

• Because the gradient of DB is not equal to the gradient of AB

• Because the gradient of DB is equal to the gradient of AB

What is the importance of concluding with a clear statement in part b?

• To add more marks

• To ensure the answer is correct

• To confuse the reader

• To summarize the findings and confirm the result