Question

refer to the number line. the ratio of fx to xk is 1:1. which point is located at x? a) j b) g c) h d) k

Explanation:

Step1: Determine the mid - point concept

Since the ratio of $FX$ to $XK$ is $1:1$, $X$ is the mid - point of the line segment $FK$.

Step2: Find the coordinates of $F$ and $K$

The coordinate of $F$ is $- 15$ and the coordinate of $K$ is $- 5$.

Step3: Use the mid - point formula

The mid - point formula for two points $a$ and $b$ on a number line is $\frac{a + b}{2}$. Here $a=-15$ and $b = - 5$, so $X=\frac{-15+( - 5)}{2}=\frac{-15 - 5}{2}=\frac{-20}{2}=-10$.

Answer:

B. G