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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.?

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)

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

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)?
