Question 55397
{{{ y-4=-(3/2)(x+1) }}}
First, distribute the -3/2 across the (x+1)
{{{ y-4 = -3x/2 - 3/2 }}}
Add 4 to both sides
{{{ y = -3x/2 + 5/2 }}}
Since neither of your points are intercepts, from here just plug them in and see which one is true
{{{ y = -3x/2 + 5/2 }}}
plug in (1,-4)
{{{ -4 = -3(1)/2 + 5/2 }}}
{{{ -4 = -3/2 + 5/2 }}}
{{{ -4 = 2/2 }}}
{{{ -4 = 1 }}}
FALSE!!!!


Try the second ordered pair
{{{ y = -3x/2 + 5/2 }}}
plug in (-1,4)
{{{ 4 = -3(-1)/2 + 5/2 }}}
{{{ 4 = 3/2 + 5/2 }}}
{{{ 4 = 8/2 }}}
{{{ 4 = 4 }}}
TRUE!!!
The correct ordered pair is (-1,4)