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Question
M (-2, y) is a point equidistant from the coordinates A(5,7) and B(3,-4). Find the value of y.
M (-2, y) is a point equidistant from the coordinates A(5,7) and B(3,-4). Find the value of y.
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Solution
The correct option is A
Point M (-2, y) is equidistant from the A (5, 7) and B(3 , -4)
Distance AM = Distance BM √((xa−xm)2+(ya−ym)2)) = √((xb−xm)2+(yb−ym)2))
(5−(−2)2) + (7−y)2 = (3−(−2))2 + (−4−yb)2
49+49−14y+y2=25+16+8y+y2
22y=57
y=5722
Point M (-2, y) is equidistant from the A (5, 7) and B(3 , -4)
Distance AM = Distance BM √((xa−xm)2+(ya−ym)2)) = √((xb−xm)2+(yb−ym)2))
(5−(−2)2) + (7−y)2 = (3−(−2))2 + (−4−yb)2
49+49−14y+y2=25+16+8y+y2
22y=57
y=5722
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