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determine any data values that are missing from the table, assuming tha…

Question

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

xy
417
619
21
10

a. missing x:8
missing y:23

b. missing x:10
missing y:21

c. missing x:8
missing y:22

d. missing x:9
missing y:20

please select the best answer from the choices provided

Explanation:

Step1: Calculate slope

Use points (4,17) and (6,19): $m=\frac{19-17}{6-4}=1$

Step2: Find missing x (y=21)

Let $x$ be missing. $1=\frac{21-19}{x-6} \Rightarrow x=8$

Step3: Find missing y (x=10)

$y=19 + 1\times(10-6)=23$

Answer:

a. Missing x:8, Missing y:23