Question 885107
Use the slope-intercept formula
{{{ ( y -( -2 ) ) / ( x -( -1 ) ) = -4/7 }}}
{{{ ( y + 2 ) / ( x + 1 ) = -4/7 }}}
Multiply both sides by {{{ 7*( x + 1 ) }}}
{{{ 7*( y + 2 ) = -4*( x + 1 ) }}}
{{{ 7y + 14 = -4x - 4 }}}
{{{ 7y = -4x - 18 }}}
{{{ y = -(4/7)*x - 18/7 }}}
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check:
Does it go through ( -1, -2 ) ?
{{{ y = -(4/7)*x - 18/7 }}}
{{{ -2 = -(4/7)*(-1) - 18/7 }}}
{{{ -2 = 4/7 - 18/7 }}}
{{{ -2 = -14/7 }}}
{{{ -2 = -2 }}}