Answer:
Option: D is correct.
The format of (x,y) is:
(9,13)
Step-by-step explanation:
We have to use the graph to complete the given input-output value.
The table is given as:
Input Output
2 1
x 8
11 10
14 y
As the graph is a straight line we will find the equation of a line with the help of two points and with the help of the equation of line we will find the missing number x and y.
We know that the equation of a lien passing through two points (a,b) and (c,d) is calculated as:
[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]
As the line passes through (2,1) and (11,10) so the equation of line is:
[tex]y-1=\dfrac{10-1}{11-2}\times (x-2)\\\\y-1=\dfrac{9}{9}\times (x-2)\\\\y-1=x-2\\\\y=x-2+1\\\\y=x-1[/tex]
Hence, when y=8 we have:
[tex]8=x-1\\\\x=8+1\\\\x=9[/tex]
Hence, x=9
and when x=14 we have:
[tex]y=14-1\\\\y=13[/tex]
so, the format of (x,y) is:
(9,13)
