Question

Look at the table of values below.

a b
2 8
4 14
6 20

Which equation is represented by the table?

A - b = a + 14 / 2

B - b = 3a + 2
C - b = 4a − 4
D - b = 4a − 2

Answer 1

hello :
B) b = 3a + 2
a= 2 b = 3(2)+2 =8
a= 4 b = 3(4)+2 =14
a= 6 b = 3(6)+2 =20

Answer 2

B.
`b=3a+2`

Explanation:

We will find the slope of the equation by
`m=(y_(2)-y_(1))/(x_(2)-x_(1))`.

Substituting the points (a,b)= (2,8) and (4,14), we have,

Slope is
`m=(14-8)/(4-2)`

i.e. Slope,
`m=(6)/(2)`

i.e. Slope, m = 3

Putting the value of m and (2,8) in the equation
`b=ma+c` gives us,

`b=ma+c`

i.e.
`8=3* 2+c`

i.e. c= 8-6

i.e. c= 2

Thus, the equation is
`b=3a+2`.

Hence, option B is correct.