Question

If P(x,6) is the midpoint of the line segment AB with A(6,5) and B(4,y) then y=?

a) 7
b) 6
c) -7
d) 5
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Answer 1

Answer:

a) y = 7

Step-by-step explanation:

please refer to the attachment , answer is in detail

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Answer 2

Answer:

In this question, we are given the co-ordinates of two ends of a line segment and it's mid-point.

The basic mid-point formula tells that:

If the co-ordinates of a line segment are (x1,y1) and (x2,y2), then it's mid-point is given by ((x1+x2)/2 , ((y1+y2)/2)

In this case, the co-ordinates of line are A6,6) and B4,y) and the mid-point is (x,6)

So, using the formula, we will get

(6+4)/2 = x & (5+y)/2 = 6

Upon doing simple calculation we will get x=5 & y=7

SO, THE REQUIRED ANSWER IS y=7 (OPTION-A)