Question 984582
Use general slope intercept formula
( -5,-5 ) and ( 10, -2 )
{{{ ( y - (-5 ) ) / ( x - (-5) ) = ( -2 -(-5) ) / ( 10 -(-5) ) }}}
{{{ ( y + 5 ) / ( x + 5 ) = ( -2 + 5 ) / ( 10 + 5 ) }}}
{{{ ( y + 5 ) / ( x + 5 ) = 3 / 15 }}}
{{{ ( y + 5 ) / ( x + 5 ) = 1 / 5 }}}
Multiply both sides by {{{ 5*( x+5 ) }}}
{{{ 5*( y + 5 ) = x + 5 }}}
{{{ 5y + 25 = x + 5 }}}
{{{ 5y = x - 20 }}}
{{{ y = (1/5)*x - 4 }}}
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check answer:
( -5, -5 ) 
{{{ -5 = (1/5)*(-5) - 4 }}}
{{{ -5 = -1 - 4 }}}
{{{ -5 = -5 }}}
You can check the other point ( 10, -2 )