Question

Coordinate of point A on the number line is 1 . What are the coordinates of the points on the number line which are at a distance of 7 units from A?

-6,8

6,8

-6,-8

6,-8​

Answer 1

=7 where the coordinate of A is 1 hence, the coordinates of the required point are -6 and 8

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Answer 2

let the point 7 units away from A be B then d(A,B)=7 where the coordinates of A is 1.

So, we have either of the following two cases.

Case 1= If A>B,then

d(A,B)=A-B

7=1-B

7-1=-B

6=-B

B=-6

Case 2= If A<B,then

d(A,B)=B-A

7=B-1

7+1=B

8=B

B=8

Hence, the coordinates of the required points are -6 and 8.