Question

Two points defining a linear function are shown in the table below.

Answer 1

ANSWER

The slope is

$\frac{3}{2}$


EXPLANATION

From the table we can write the ordered pairs,


$(-14,-18) \: and \: (-10,-12)$

The slope formula is given by,

$m = \frac{y_2-y_1}{x_2-x_1}$

We substitute the points to get,

$m = \frac{ - 12 - - 18}{ - 10 - - 14}$


We then simplify to get,

$m = \frac{ - 12 + 18}{ - 10 + 14}$
This simplifies to,

$m = \frac{ 6}{ 4}$

We reduce to the lowest term to get,

$m = \frac{ 3}{ 2}$

Therefore the correct answer is B.