Question

refer to the number line. find the coordinate of point x such that the ratio of mx to xj is 3:1.
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Explanation:

Step1: Find coordinates of M and J

From the number line, \( M = 2 \) and \( J = 18 \).

Step2: Use section formula

The section formula for a point \( X \) dividing the line segment \( MJ \) in the ratio \( m:n \) is \( X=\frac{mx_J+nx_M}{m + n} \). Here, \( m = 3 \), \( n = 1 \), \( x_M=2 \), \( x_J = 18 \).
Substitute the values: \( X=\frac{3\times18+1\times2}{3 + 1}=\frac{54 + 2}{4}=\frac{56}{4}=14 \).

Answer:

14