Question

Point P(a/8, 4) is the mid point of the line segment joining the points A(-5,2) and B(4,6) the value of a is

Answer 1

Answer:

a=-4

mid point formula

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Answer 2

Answer:

Midpoint formula:

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

Here, the values of:

$\sf{x_{1} = -5}$

$\sf{x_{2} = 4}$

$\sf{y_{1} = 2}$

$\sf{y_{2} = 6}$

=> $\sf{(\frac{a}{8} , 4) = (\frac{-5 + 4}{2} , \frac{2 +6}{2}) }$

=> 2a = -8

=> $\boxed{\sf{a = -4}}$

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