Question 1057604
Find the mid-point of BC
( 7, -2 )
( -2, -1 )
{{{ x[m] = ( 7 - 2 ) / 2 }}}
{{{ x[m] = 5/2 }}}
and
{{{ y[m] = ( -2 - 1 ) / 2 }}}
{{{ y[m] = -3/2 }}}
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Find equation of line through
( 3,4 ) and ( 5/2, -3/2 )
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Use general point-slope formula
{{{ ( y -(-3/2) ) / ( x - 5/2 ) = ( 4 - (-3/2) ) / ( 3 - 5/2 ) }}}
{{{ ( y + 3/2 ) / ( x - 5/2 ) = ( 4 + 3/2 ) / ( 3 - 5/2 ) }}}
{{{ ( y + 3/2 ) / ( x - 5/2 ) = (11/2) / (1/2) }}}
{{{ ( y + 3/2 ) / ( x - 5/2 ) = 11 }}}
{{{ y + 3/2 = 11*( x - 5/2 ) }}}
{{{ y + 3/2 = 11x - 55/2 }}}
{{{ y = 11x - 58/2 }}}
{{{ y = 11x - 29 }}}
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check my math and get another opinion, if you can.