Home >> PURE MATHS, Coordinate Geometry, line between two points

Distance of a Line Between Two Points

Triangle ABC is a right angled triangle.

Therefore,

Example

What is the distance between points A(5,6) and B(-4,-3) correct to 2 d.p.?

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Finding the Mid-Point of a Line Between Two Points

The x-y coordinates of the midpoint M between two point A, B is found by taking the average of the x-coordinates(x₁ , x₂), then repeating for the y-coordinates(y₁ , y₂)

Example

What are the coordinates of the mid-point of the line joining the coordinates (4,7) and (-8,8)?

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Finding the Gradient of a Line

Example

To 2 decimal places, what is the gradient of the line joining the coordinates (-5,6) and (9,-7)?

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