Question 491148
(4, -2)
(6, -1)
The point-slope formula is
{{{ (y -(-2)) / (x - 4) = (-1 -(-2)) / (6 - 4) }}}
{{{ (y + 2) / (x - 4) = 1 / 2 }}}
Multiply both sides by {{{ 2*(x-4) }}}
{{{ 2*(y + 2) = x - 4 }}}
{{{ 2y + 4 = x - 4 }}}
{{{ 2y = x - 8 }}}
{{{ y = (1/2)*x - 4 }}} answer
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check:
Do the given points fall on this line?
(4,-2)
{{{ -2 = (1/2)*4 - 4 }}} 
{{{ -2 = 2 - 4}}}
{{{ -2 = -2 }}}
and
(6,-1)
{{{ -1 = (1/2)*6 - 4 }}}
{{{ -1 = 3 - 4 }}}
{{{ -1 = -1 }}}
OK