Question

If the midpoint of A (a, b) and B(-9, 6) is M(-3, 5): Find the value of a.

Answer 1

Answer:

$\huge{ \fbox{ \text{3}}}$

Step-by-step explanation:

$\sf{A ( \: a \:, b \: )\: \longrightarrow{ \: (x1 \:, y1)}}$

$\sf{ \: B( - 9 \: 6) \: \longrightarrow{ (x2 \:, y2)}}$

$\boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \frac{y1 + y2}{2} )}}$

$\mapsto{ \sf{( - 3 \:, 5 \: ) \: = \: ( \frac{a + ( - 9)}{2} \:, \frac{b + 6}{2}}})$

$\mapsto{ \sf{( - 3 \:, 5) \: = \: ( \: \frac{a - 9}{2} \:, \frac{b + 6}{2} )}}$

$\sf{ \mapsto{ - 3 = \frac{a - 9}{2} }}$

Solve for a

$\mapsto{ \sf{ - 6 = a - 9}}$

$\mapsto{ \sf{a - 9 = - 6}}$

$\mapsto{ \sf{a = - 6 + 9}}$

$\mapsto{ \sf{a = 3}}$

The value of a is 3

Hope I helped!

Best regards! :D

~$\text{TheAnimeGirl}$

Answer 2

Answer:

(-6,5.5)

Step-by-step explanation:

(-9,6)-(-3,5)

-9+-3/2       6+5/2

x=-6 y=5.5