Question

The table shows ordered pairs of the function . What is the value of y when ?

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12.

–20
–8
8
48

Answer 1

Answer:

(B) -8

Step-by-step explanation:

Given the 2-column table below:

$\left|\begin{array}{c|c}x&y\\--&--\\-3&14\\-1&10\\1&6\\4&0\\8&?\\10&-12\end{array}\right|$

Taking the pair (-3,14) and (-1,10)

$Slope, m=\dfrac{10-14}{-1-(-3)} =\dfrac{-4}{2} =-2$

Taking the pair (1,6) and (4,0)

Slope, $m=\dfrac{0-6}{4-1} =\dfrac{-6}{3} =-2$

Since the slope is constant, the table represents a linear function whose slope is -2. Therefore:

Taking the pair (8,y) and (4,0)

Slope, $m=\dfrac{0-y}{4-8} =-2$

$\dfrac{-y}{-4} =-2\\y=-2*4=-8$

Therefore, the value of ? on the y-column is -8.

Answer 2

Answer:

-8

Step-by-step explanation: