
How to use the midpoint formula to find the midpoint of a line between two (x,y) points.
Theory:A(x_{a},y_{a}) and B(x_{b},y_{b})
are two points in the (x,y) plane, and P(x_{p},y_{p}) is the
midpoint of the line joining A and B: The coordinates of the midpoint ‘P’ are given by: Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Â Â Â Â andÂ Â Â Â
For example, find the
midpoint of the line joining the points A(4,3) and B(4,5). Substituting into the formulas we have:
So the midpoint of AB is:
P(0,1)
Method:Maths Helper Plus can use the
midpoint formula to find the midpoint 'P' between two given points 'A' and 'B'. Also, it will show you
the working steps and draw a labelled diagram.
Â Step 2Â Display the parameters boxPress the F5 key to display the parameters box: Â The coordinates of the two (x,y) points are entered into the four edit boxes 'A', 'B', 'C' and 'D', as follows:
To calculate the coordinates of the midpoint between points 'A' and 'B', enter the coordinates into the edit boxes. Â To enter the coordinates, click on the 'A' edit box with the mouse, then type the x_{a} coordinate. Now click on the 'D' edit box and type the y_{a} coordinate. Continue until the four coordinates are entered, then click the 'Update' button. Â Step 3Â Adjust the scale of the labelled diagramIf the labelled diagram does not display the points, the scale needs to be reduced. In this case, briefly press the F10 key enough times until the two plotted points are seen. Â You can make the diagram bigger by holding down 'Ctrl' while you press F10. Â
