If the distance between the points (8,7) and (3,Y) is 13, find the value of Y.
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distance= √(x1-x2)²+(y1-y2)²
√(3-8)²+(y-7)²=13
25+y²+49-14y=13
y²-14y+74=13
y²-14y=-61
y²-14y+7²=61+7²
(y-7)²=110
y-7=±10.5
y=10.5+7
= 13.5
y=-10.5+7
=-3.5
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