Question

(05.02)

Answer 1

Answer:

$y=\dfrac{1}{2}x+2$

A is correct

Step-by-step explanation:

Given: Table of x and y

 x  :  2    4     6     8

 y  :  3    4     5     6

Using two point find the slope:

(2,3) and (4,4)

$Slope=\dfrac{4-3}{4-2}$

$\text{Slope }=\dfrac{1}{2}$

Now we find slope using last two point

(6,5) and (8,6)

$\text{Slope }=\dfrac{6-5}{8-6}$

$\text{Slope }=\dfrac{1}{2}$

Slope is equal. Thus, The given relation is linear.

$y-3=\dfrac{1}{2}(x-2)$

$y=\dfrac{1}{2}x+2$

Hence, The relation represents a linear equation $y=\dfrac{1}{2}x+2$

Answer 2

first equation y=1/2x +2

x=2 = 1/2(2) +2 =1+2 =3

x=4 = 1/2(4)+2 = 2+2 =4

first equation  is the answer