ANSWER
The slope is
![\frac{3}{2}](/tpl/images/0320/9309/410fe.png)
EXPLANATION
From the table we can write the ordered pairs,
![(-14,-18) \: and \: (-10,-12)](/tpl/images/0320/9309/f9b0b.png)
The slope formula is given by,
![m = \frac{y_2-y_1}{x_2-x_1}](/tpl/images/0320/9309/f292e.png)
We substitute the points to get,
![m = \frac{ - 12 - - 18}{ - 10 - - 14}](/tpl/images/0320/9309/f6b79.png)
We then simplify to get,
![m = \frac{ - 12 + 18}{ - 10 + 14}](/tpl/images/0320/9309/5260d.png)
This simplifies to,
![m = \frac{ 6}{ 4}](/tpl/images/0320/9309/81901.png)
We reduce to the lowest term to get,
![m = \frac{ 3}{ 2}](/tpl/images/0320/9309/fb55b.png)
Therefore the correct answer is B.