if the mid point of line segment joining the points A(6b-2) and B(-2,4) is (2,-3). than find the value of b.
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Hey,
Thanks for asking this question.
Given points are,
•A(6, b-2) => (x1, x2)
&
•B(-2, 4) => (y1, y2)
Mid point is
•C(2, -3) => (z1, z2)
We know the mid point formula,
•z1 = (x1 +y1)/2
•z2 = (x2 + y2)/2
=> z1 = {6+(-2)}/2 = 2
=> z2 = {(b-2) + 4}/2
=> -3 = (b+2)/2
=> b+2 = -6
●●●=> b = -8
So the value of b is -8.
■■■ Hope my answer helped.
Thanks for asking this question.
Given points are,
•A(6, b-2) => (x1, x2)
&
•B(-2, 4) => (y1, y2)
Mid point is
•C(2, -3) => (z1, z2)
We know the mid point formula,
•z1 = (x1 +y1)/2
•z2 = (x2 + y2)/2
=> z1 = {6+(-2)}/2 = 2
=> z2 = {(b-2) + 4}/2
=> -3 = (b+2)/2
=> b+2 = -6
●●●=> b = -8
So the value of b is -8.
■■■ Hope my answer helped.
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