Question 944988
The slope is ( change in y ) / ( change in x )
Let slope = {{{ m }}}
{{{ m = ( 9 - 1 ) / ( -10 - 6 ) }}}
{{{ m = 8 / (-16) }}}
{{{ m = -1/2 }}}
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Use the general point-slope formula
{{{ ( y - 1 ) / ( x - 6 ) = -1/2 }}}
{{{ y - 1 = -(1/2)*( x - 6 ) }}}
{{{ y - 1 = -(1/2)*x + 3 }}}
{{{ y = -(1/2)*x + 4 }}}
The answer is (a)