Question

The coordinate of point P on the number line is 4/7
distance between the point p and q is 9/7 Find the coordinate of q​

Answer 1

Given : The coordinate of point P on the number line is 4/7

distance between the point p and q is 9/7

To Find : the coordinate of q​

Solution:

| q - p |  = 9/7

=> | q  - 4/7 |  = 9/7

case 1 :

q - 4/7 = 9/7

=> q = 13/7

Case 2

-(q - 4/7) = 9/7

=> q - 4/7 = -9/7

=> q = -5/7

coordinate of q​  = -5/7  and  13/7

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Answer 2

$\huge \cal \colorbox{yellow}{➶︎ ANSWER ➶︎}$

$\tt \: q - p = \frac{9}{7}$

$\tt \: q - \frac{4}{7} = \frac{9}{7}$

$\tt \: q - \frac{4}{7} = \frac{9}{7}$

$\tt \: q = \frac{13}{7}$

$\tt \: - ( q - \frac{4}{7} ) = \frac{9}{7}$

$\tt \: q - \frac{4}{7} = - \frac{9}{7}$

$\tt \: q = - \frac{5}{7}$

$\sf \: ANSWER \rightarrow \bf \: q = - \frac{5}{7} \: and \: \frac{13}{7}$