Question 1123570
a) ( -2, -4 )
The slope is infinite
{{{ y = m*x + b }}}
{{{ x = -2 }}}
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b) {{{ y = -4 }}}
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c) ( 3, 7/2 )
Use point-slope formula
{{{ ( y - 7/2 ) / ( x - 3 ) = ( -4 - 7/2 ) / ( -2 - 3 ) }}}
{{{ ( y - 7/2 ) / ( x - 3 ) = ( -15/2 ) / ( -5 ) }}} 
{{{ ( y - 7/2 ) = ( 3/2 )*( x - 3 ) }}}
{{{ y - 7/2 = (3/2)*x - 9/2 }}}
{{{ y = (3/2)*x - 1 }}}
Check the math