Question 467883
Use the point-slope formula
{{{ 3/2 = (y - 4) / (x - 7) }}}
Multiply both sides by {{{ 2*(x - 7) }}}
{{{ 3*(x - 7) = 2*(y - 4) }}}
{{{ 3x - 21 = 2y - 8 }}}
{{{ 2y = 3x - 21 + 8 }}}
{{{ 2y = 3x - 13 }}}
{{{ y = (3/2)*x - 13/2 }}}
Check answer:
Does line go through (7,4) ?
{{{ 4 = (3/2)*7 - 13/2 }}}
{{{ 8 = 21 - 13 }}}
{{{ 8 = 8 }}}
OK