Question

find the coordinate of point o such that the ratio of qo to ot is 1:4.
p q r s t u
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
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Explanation:

Step1: Identify coordinates of Q and T

The coordinate of Q is - 2 and the coordinate of T is 8.

Step2: Use section - formula for one - dimensional case

If a point O divides the line - segment joining \(x_1\) and \(x_2\) in the ratio \(m:n\), the coordinate of O is given by \(x=\frac{mx_2+nx_1}{m + n}\). Here, \(x_1=-2\), \(x_2 = 8\), \(m = 1\), and \(n = 4\).
\[x=\frac{1\times8+4\times(-2)}{1 + 4}\]

Step3: Simplify the expression

\[x=\frac{8-8}{5}=\frac{0}{5}=0\]

Answer:

0