Question

Which two points or 4 units from K?
a) I and M
b) J and L
c) H and N
d) G and O

Answer 1

Answer:  the correct option is

(d) G and O.

Step-by-step explanation:  We are given to find the two points that are at a distance of 4 units from point K.

We have

Distance of point J and L point K is given by

$d=-3-(-4)=-2-(-3)=1~\textup{units}.$

Distance of point I and M point K is given by

$d=-3-(-5)=-1-(-3)=2~\textup{units}.$

Distance of point H and N point K is given by

$d=-3-(-6)=0-(-3)=3~\textup{units}.$

Distance of point G and O point K is given by

$d=-3-(-7)=1-(-3)=4~\textup{units}.$

Thus, the required point are G and O.

Option (d) is CORRECT.

Answer 2

Answer: d) G and O

Step-by-step explanation:

 In the given picture , we have a number line .

To find : The two points that are 4 units from point K.

When we consider the given number line , we can easily observe that

Point J and L are 1 units from K.

Point I and M are 2 units from K.

Point H and N are 3 units from K.

Point G and O are 4 units from K.  

Alternative way :

Distance between any two points on a number line:

$d=|x_2-x_1|$

The distance of point G from point K:-

$d=|-3-(-7)|=4\text{ units}.$

The distance of point O from point K:-

$d=|1-(-3)|=4\text{ units}.$

Hence, the two points or 4 units from K = G and O