Question 615924
(3,4),(5,7)
slope = {{{ ( 7 - 4 ) / ( 5 - 3 ) = 3/2 }}}
So far I have:
{{{ y = (3/2)*x + b }}}
Now I can plug one of the given points back into equation
{{{ 4 = (3/2)*3 + b }}}
{{{ 4 = 9/2 + b }}}
{{{ b = 8/2 - 9/2 }}}
{{{ b = -1/2 }}}
The equation is
{{{ y = (3/2)*x -1/2 }}}
check:
Does it go through (5,7)?
{{{ y = (3/2)*x -1/2 }}}
{{{ 7 = (3/2)*5 -1/2 }}}
{{{ 7 = 15/2 - 1/2 }}}
{{{ 7 = 14/2 }}}
{{{ 14 = 14 }}}
OK