Question 1056266
( -1, -3 ) and ( 3, 3 )
The x-value of midpoint:
{{{ ( -1 + 3 ) / 2 = 1 }}}
The y-value of midpoint:
{{{ ( 3 - 3 ) / 2 = 0 }}}
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The midpoint is at ( 1, 0 )
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The slope of this line segment is:
{{{ ( 3 -(-3) ) / ( 3 -(-1) ) = 6/4 }}}
{{{ 6/4 = 3/2 }}}
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Any line perpendicular to this
segment will have slope
{{{ m = -1/( 3/2) }}}
{{{ m = -2/3 }}}
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Use point-slope formula
{{{ ( y - 0 ) / ( x - 1 ) = -2/3 }}}
{{{ y = (-2/3)*( x - 1 ) }}}
{{{ y = -(2/3)*x + 2/3 }}}
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check:
does it go through ( 1, 0 ) ?
{{{ 0 = -(2/3)*1 + 2/3 }}}
{{{ 0 = 0 }}}
OK