Question

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

x y
–14 –18
–10 –12

What is the slope of the function?
2/3
3/2
2
6

Answer 1

3/2

Explanation:

Answer 2

ANSWER

The slope is


`(3)/(2)`


EXPLANATION

From the table we can write the ordered pairs,



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

The slope formula is given by,


`m = (y_2-y_1)/(x_2-x_1)`

We substitute the points to get,


`m = ( - 12 - - 18)/( - 10 - - 14)`


We then simplify to get,


`m = ( - 12 + 18)/( - 10 + 14)`
This simplifies to,


`m = ( 6)/( 4)`

We reduce to the lowest term to get,


`m = ( 3)/( 2)`

Therefore the correct answer is B.