Find the missing coordinate, given the slope of the line

A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through the points (3,4) and (t,-2).  What is the value of t ?
A.)  3
B.)  2
C.)  0
D.)  -2
​E.)  -6

---

change in y
------------   =  slope
change in x

-2 - 4           2
-------  =   ---   {set change in y over change in x equal to given slope of 2/3}
  t - 3            3

 -6            2
-----  =  ----   {subtracted -2 - 4}
t - 3          3

2t - 6 = -18   {cross-multiplied}

2t = -12   {added 6 to each side}

t = -6   {divided each side by 2}

E.)  -6

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