Question

The table shows a proportional relationship.

x y
0 0
2 9
4 18
6 27
Complete the equation that represents the table.

Enter your answer as a decimal in the box. y=__x

Answer 1

y = 4.5 x because 9/2 is 4.5 18/4 is 4.5 and 27/6 is 4.5

Answer 2

The Given Table is

x : 0 2 4 6

y : 0 9 18 27

`(x)/(y)=(2)/(9)=(4)/(18)=(6)/(27), {\text{Each being equal to}} (2)/(9)`

Which shows a proportional relationship.

Now first plotting these points on two dimensional Coordinate plane, and then finding equation of line using Two point Slope formula.

`(y-0)/(x-0)=(9-0)/(2-0) \\\\ y=(9)/(2)x  {\text{Which is given by Two point formula of line , Joining} (x_(1), y_(1)), (x_(2), y_(2))  is \\\\ (y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))`

y= 4.5 x