Question

p(a/2,4) is the midpoint of segment AB joining the points A(-6,5) and B(-2,3). find the value of a?​

Answer 1

Answer:

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Answer 2

$\underline{\boxed{\bold{\bigstar \; Question \; \bigstar }}}$  

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➠ P (a/2,4) is the midpoint of segment AB joining the points A (-6,5) and B (-2,3). Then find the value of a ?

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$\underline{\boxed{\bold{ \bigstar \; Important \; Information \; \bigstar }}}$

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❏ Midpoint of a line segment is such a point that divides line segment in 2 parts of equal measure.

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❏ Here is a formula that is unique relation between co-ordinates of midpoints and endpoints of line segment.

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• Mid - Point : (x , y)

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Let the given co-ordinates of endpoints be :

• End Point 1 : (x₁ , y₁)
• End Point 2 : (x₂ , y₂)

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$\star \; \; \; \; \; \; \; \; \; \;\; \; \; \; \; \boxed { \orange {:\longmapsto \; x = \dfrac{x_1 + x_2}{2} } }$

$\star \; \; \; \; \; \; \; \; \; \;\; \; \; \; \; \boxed { \orange {:\longmapsto \; y = \dfrac{y_1 + y_2}{2} } }$

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$\underline{\boxed{\bold{ \bigstar \; Given \; \bigstar }}}$  

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➠ End Point 1 : (x₁,y₁) = (-6,5)

➠ End Point 2 : (x₂,y₂) = (-2,3)

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$\underline{\boxed{\bold{ \bigstar \; Answer \; \bigstar }}}$  

Let's Start !

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❖ Here variable "a" lies in x co-ordinate of mid-point P. So we will use relation that consist of x co-ordinates.

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$\boxed {\red{ :\longmapsto \; x = \dfrac{x_1 + x_2}{2} }}$

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$:\implies \; \dfrac{a}{2} = \dfrac{(-6) + (-2)}{2}$

$:\implies \; a = (-6) + (-2)$

$:\implies \; a = -6 -2$

$\bold { \orange{ :\implies \; a = -8 } }$

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$\boxed{\boxed{\bold{\therefore Value\;of\;a = (-8)}}}$

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Hope this helps u.../

【Brainly Advisor】