The data in the table below represents a linear relationship. Fill in the missing data.

Represent the linear function described in the data .

The correct answer is: x = 30, Y = 25

 The two given points are (10 , 10) and (20 , 15)
Using two – point form, equation of the line is
(y – y₁) = m (x – x₁)  where  m =

m =  

     =  =  0.5
Now,  equation of the line is (y – y₁) = m (x – x₁)
(y – 10) = 0.5 (x – 10)
y – 10  =  0.5x – 5
y =  0.5x – 5 + 10
y = 0.5x + 5
2y = x + 10
So, linear function is 2y = x + 10
First, y₁ = 20 , x₁ = ?

2(20) = x₁ + 10

40 – 10 = x₁

30 = x₁
Second, x₂ = 40 and y₂ = ?

2y₂ = 40 + 10

2y₂ = 50

y₂ = 25