Question

4.Locate the opposite of point K on the number line, and label it point L.5. In the diagram above, zero represents the location of Martin Luther King Middle School Point Krelibrary, which is located to the east of the middle school. In words, create a real-world situation torepresent point L, and describe its location in relation to 0 and point K.

Answer 1

For question 4

We want to locate the opposite of point K,

`\text{ point K=}\frac{\text{8}}{12}`

To obtain the opposite of point k, we count from the point zero(0), backwards on the negative 8 times,

Consider the image below.

Hence the opposite of point K which is point L is

`\text{Point L=}\frac{\text{-8}}{12}=-(2)/(3)`

For question 5

Since Point zero is the middle school, then

L in relation to point zero: Point L is west of the middle school with a length is 2/3 to the middle school.

`\begin{gathered} \text{length of l from k is } \\ 2*(8)/(12)=(16)/(12)=(4)/(3) \end{gathered}`

Hence

The L in relation to K: Point L is in the west of K with a length of 4/3 from K.