Point A(4, 6) lies on a line with slope -3/4 Point B lies on the same

What is the logic behind providing additional info of '5 points distance'?? The question can be solved without that..just calculate the equation of line by point slope form formula and put the options in the equation..the ones which satisfy the equation are correct... Right??

There are two conditions point B should meet :
1) It should satisfy the Eqn: y= (-3/4)x + 9
2) Point B should be 5 units from (4 6)

Lets say there was another point (12, 0) in the option you will see that this also meets the eqn. of the line. But the distance of this point from (4 6) is 10 and NOT 5.

Lets say the answer choices were:
I. (8, 3)
II. (1, 10)
III. (0, 9)
IV.( 12 0)
V( 16 -3)

You would see that only I and III meet both the conditions and is the correct answer, options IV and V meet condition 1 but NOT condition 2. Hence it is important to mention the second condition.

Hope this answer your query.

Hi LeoN88,
Thank you for your soln. but there is a small typo in the second last line and the line before that. You have I and II instead of I and III. Hope you will look into it. Thanks.

edited, thanks.

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