Question

Use the graph to complete the input-output table. List the answer in the format of (x, y).

A) 7, 13
B) 7, 16
C) 8, 13
D) 9, 13

Answer 1

The answer is D) 9, 13. Hope this helped :D.

Answer 2

Option: D is correct.

The format of (x,y) is:

(9,13)

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:

`y-b=(d-b)/(c-a)* (x-a)`

As the line passes through (2,1) and (11,10) so the equation of line is:

`y-1=(10-1)/(11-2)* (x-2)\\\\y-1=(9)/(9)* (x-2)\\\\y-1=x-2\\\\y=x-2+1\\\\y=x-1`

Hence, when y=8 we have:

`8=x-1\\\\x=8+1\\\\x=9`

Hence, x=9

and when x=14 we have:

`y=14-1\\\\y=13`

so, the format of (x,y) is:

(9,13)