value of t ?

A.) 3

B.) 2

C.) 0

D.) -2

E.) -6

**change in y**

------------ = slope

change in x

------------ = 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**

**Ask Algebra House**