Question 577246
The point-slope formula is used when you are 
given ether:
(1) a point and a slope
(2) 2 points
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Suppose you are given 2 points such as
( 3,5 ) and ( 1,9 )
You can plug  these into the point-slope formula
to find the equation of the line passing through these points
{{{ ( y - 5 ) / ( x - 3 ) = ( 9 - 5 ) / ( 1 - 3 ) }}}
( note that both sides are ( change in y ) / ( change in x )
{{{ ( y - 5 ) / ( x - 3 ) = 4/(-2) }}}
{{{ ( y - 5 ) / ( x - 3 ) = -2 }}}
Multiply both sides by {{{ x - 3 }}}
{{{ y - 5 = -2*( x - 3 ) }}}
{{{ y - 5 = -2x + 6 }}}
{{{ y = -2x + 11 }}}
check answer:
Does it pass through ( 3,5 )?
{{{ 5 = -2*3 + 11 }}}
{{{ 5 = -6 + 11 }}}
{{{ 5 = 5 }}}
OK You can check other point