math destroyer exam 1 question 3

[AllahIsGreater]

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on math destroyer exam 1 question 3, can someone please explain to me the logic behind finding the coordinates (0,6) ....which is basically telling you that A's height is 6.....i understand the rest of the problem, i just want to understand why they found the height that way. im horrible at math :/

 

[herkulease]

Its just like solving any other equation, here it happens to involve using the midpoint formula.

There's really no other way to determine what Point A is without it.

 

[ForeverKhaled]

on math destroyer exam 1 question 3, can someone please explain to me the logic behind finding the coordinates (0,6) ....which is basically telling you that A's height is 6.....i understand the rest of the problem, i just want to understand why they found the height that way. im horrible at math :/

part of the given information is midpoint B between A & C at (4,3). An easy short cut is to double the Y and make X= 0 since the graph looks the way it does. So you save time and you get the answer (0,6) without plugging in numbers.