Question 879881
Use the general point-slope formula
{{{ ( y - (-13)) / ( x -(-2)) = ( 3 -(-13) ) / ( 5 -(-2)) }}}
{{{ ( y + 13) / ( x + 2) = ( 3 + 13 ) / ( 5 + 2) }}}
{{{ ( y + 13) / ( x + 2) = 16 / 7 }}}
{{{ 7*( y + 13 ) = 16*( x + 2 ) }}}
{{{ 7y + 91 = 16x + 32 }}}
{{{ 7y = 16x - 59 }}}
{{{ y = ( 16/7 )*x - 59/7 }}}
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check answer:
(-2,-13)
{{{ -13 = (16/7)*(-2) - 59/7 }}}
{{{ -91 = -32 -59 }}}
{{{ -91 = -91 }}}
OK you can check the other point