Question 458373
a. (-2,5) and (0,2)
{{{ ( y - 5) / (x - (-2)) = ( 2 - 5 ) / ( 0 - (-2)) }}}
{{{ ( y - 5) / (x + 2) = -3 / 2 }}}
Multiply both sides by {{{ 2*(x + 2) }}}
{{{ 2*(y - 5) = -3*( x + 2 ) }}}
{{{ 2y - 10 = -3x - 6 }}}
{{{ 2y = -3x + 4 }}}
{{{ y = -(3/2)*x + 2 }}}
check:
(-2,5)
{{{ 5 = -(3/2)*(-2) + 2 }}}
{{{ 5 = 3 + 2 }}}
OK
(0,2)
{{{ 2 = -(3/2)*0 + 2 }}}
{{{ 2 = 0 + 2 }}}
OK
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b. (4,4) and (5,-3)
{{{ (y - 4) / (x - 4) / ( -3 - 4 ) / ( 5 - 4 ) }}}
{{{ (y - 4) / (x - 4) / -7 / 1 }}}
Multiply both sides by {{{ x-4 }}}
{{{ y - 4 = -7*(x-4) }}}
{{{ y - 4 = -7x + 28 }}}
{{{ y = -7x + 32 }}}
check:
(4,4)
{{{ 4 = -7*4 + 32 }}}
{{{ 4 = -28 + 32 }}}
{{{ 4 = 4 }}}
OK
(5,-3)
{{{ -3 = -7*5 + 32 }}}
{{{ -3 = -35 + 32 }}}
{{{ -3 = -3 }}}
OK