Question

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Answer 1

Answer with Step-by-step explanation:

Let, the linear function be:

y=mx+c

3=-9m+c

2=-6m+c

On solving for m and c,subtracting the second equation by first

1=-3m

m=-1/3

Putyting value of m in fist equation, we get

3=3+c

c=0

Hence, linear function is:

$y=\dfrac{-1}{3}\times x$

When x=-3 y=1

When y=0 x=0

Hence, correct option is:

b) missing x:0 missing Y:1

Answer 2

Y is obtained form x by multiplying x by -1/3.

so when x = -3  y = -3 * -1/3 = 3/3  = 1
when y = 0, 0 = x * -1/3  so x = 0

so b) is the correct choice.