Qs has endpoints Q(4,10) and S(-2,3) find the coordinates of the midpoint qs

The midpoint between points Q and S is:

M = (1, 13/2)

Solution:

You entered the following points:

A = ( 4 , 10 )
B = ( −2 , 3 )

To find midpoint between points A(xA,yA) and B(xB,yB), we use formula:

M=(xA+xB2,yA+yB2)

In this example: xA=4 , yA=10 , xB=−2 and yB=3 so:

MM = ((4+(−2))/2,(10+3)/2)
MM = ( 1 , 13/2 )

Sometimes you need to find the point that is exactly between two other points. For instance, you might need to find a line that bisects (divides into equal halves) a given line segment. This middle point is called the midpoint.

For example, the number exactly halfway between 5 and 10 is (5 + 10)/2 = 15/2 = 7.5.

The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.

Tip! This online calculator will compute and plot the distance and midpoint for two points in two dimensions shared by Mathportal.org.

Tag: midpoint 
Friday, June 24 2016
Source: http://www.mathportal.org/calculators/analytic-geometry/distance-and-midpoint-calculator.php