Question

The midpoint of the line segment joining the points ( a, 2) and ( 3, 6) is (2, b) . Find ‘a’ and ‘ b’.

Answer 1

a=1 &b=6
is your answer that you were fetching for .
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Answer 2

Answer:

The value of a is 1 and the value of b is 4 .

Step-by-step explanation:

Formula for midpoints

$(x , y) = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})$

Where (x ,y ) are the midpoints .

As given

The midpoint of the line segment joining the points ( a, 2) and ( 3, 6) is (2, b) .

x = 2

$x_{1}=a$

$x_{2}=3$

y = b

$y_{1}=2$

$y_{2}=6$

Put all the values in the formula

$(2 , b) = (\frac{a+3}{2} , \frac{2+6}{2})$

Now compare the terms

$2 = \frac{a + 3}{2}$

2 × 2 = a + 3

4 = a + 3

a = 4 - 3

a = 1

$b =\frac{2+6}{2}$

$b = \frac{8}{2}$

b = 4

Therefore the value of a is 1 and the value of b is 4 .