Question

<1Point P is shown on the number line below.PHHHHHH0 2. 4 6-12-10 -8 -6 -4 -2810 121The distance between point Q and point P is 6 units. Which number could represent point Q?2А0 101

Answer 1

Step-by-step explanation:

If the distance between point Q and point P is 6 1/2 units, Q can be 6 1/2 units to the right of P or Q can be 6 1/2 units to the left of P.

So, we will find both options and compare them to the answer options to know which one is correct.

If Q is 6 1/2 units to the right of P, we can find Q adding 6 1/2 to the coordinate of P, so the coordinate for Q, in this case, will be:

`Q=P+6(1)/(2)=-4+6+(1)/(2)=2+(1)/(2)=2(1)/(2)`

Remember that 6 1/2 is equivalent to 6 + 1/2 and 2 + 1/2 is equivalent to 2 1/2.

In the same way, if Q is 6 1/2 units to the left of P, we need to subtract 6 1/2 to the coordinate of P. So, the coordinate of Q can also be: