Question

refer to the number line. the ratio of fx to xk is 1:1. which point is located at x?
f g h j k l
-15 -10 -5 0 5
a) j
b) g
c) h
d) k

Explanation:

Step1: Understand the ratio meaning

A ratio of $FX$ to $XK$ as $1:1$ means $X$ is the mid - point of the line segment $FK$.

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

The coordinate of $F=- 15$ and the coordinate of $K = 0$.

Step3: Calculate mid - point

The formula for the mid - point of two numbers $a$ and $b$ on a number line is $\frac{a + b}{2}$. Here $a=-15$ and $b = 0$, so $\frac{-15+0}{2}=\frac{-15}{2}=-7.5$. The point closest to $-7.5$ on the number line is $H$ (since $H$ is at $- 5$ and is the closest among the given points).

Answer:

C. $H$