Question 1101950
Let point A = ( x1 , y1 )
Let point B = ( x2 , 6 )
The midpoint is ( 7,4 )
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The x-value of the midpoint is:
(1) {{{ ( x[1] + x[2] ) / 2 = 7 }}}
The y-value of the midpoint is:
(2) {{{ ( y[1] + 6 ) / 2 = 4 }}}
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(2) {{{ y[1] + 6 = 8 }}}
(2) {{{ y[1] = 2 }}}
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For point A, {{{ x[1] = y[1] }}}, so
(1) {{{ ( 2 + x[2] ) / 2 = 7 }}}
(1) {{{ 2 + x[2] = 14 }}}
(1) {{{ x[2] = 12 }}}
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A( 2, 2 ) and B( 12, 6 ) are the points
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check:
(1) {{{ ( 2 + 12 ) / 2 = 7 }}}
(1) {{{ 14/2 = 7 }}}
(1) {{{ 7 = 7 }}}
and
(2) {{{ 2 + 6 )/2 = 4 }}}
(2) {{{ 8/2 = 4 }}}
(2) {{{ 4 = 4 }}}
OK