GCSE Maths - How to Find the Midpoint of a Line #72

The video tutorial explains how to find the midpoint of a line segment or between two sets of coordinates. It starts with a simple example using a graph and then introduces a formula to calculate the midpoint by averaging the x and y coordinates. The tutorial also covers a more complex example with negative coordinates, highlighting the flexibility of using fractions or decimals for non-whole number results.

What is the midpoint of a line segment with endpoints (2, 3) and (6, 9)?

• (3, 5)

• (4, 6)

• (2, 3)

• (5, 7)

Which formula is used to find the midpoint of a line segment?

• (x1 + x2, y1 + y2)

• ((x1 + x2)/2, (y1 + y2)/2)

• (x1 - x2, y1 - y2)

• ((x1 - x2)/2, (y1 - y2)/2)

In the formula for finding the midpoint, what do x1 and x2 represent?

• The y-coordinates of the points

• The midpoint coordinates

• The x-coordinates of the points

• The slope of the line

What is the midpoint of the line segment with endpoints (-6, 2) and (7, -8)?

• (0, -2)

• (-0.5, 3)

• (1, -3)

• (0.5, -3)

If the x-coordinate of a midpoint is not a whole number, how can it be expressed?

• Only as a decimal

• Neither as a fraction nor a decimal

• Only as a fraction

• Either as a fraction or a decimal