On a number line, the directed line segment from Q to S has endpoints Q at –2 and S at 6. Point R partitions the directed line segment from Q to S in a 3:2 ratio. Rachel uses the section formula to find the location of point R on the number line. Her work is shown below. Let m = 3, n = 2, x1 = –2, and x2 = 6.What is the location of point R on the number line?

A straight line with numbers put at equal intervals or segments throughout its length is known as a number line. It can be drawn horizontally and can be extended endlessly in any direction.

Solution:

Given:-m=3, n=2, x1=-2 and x2=6

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