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

Answer:

B. $b=3a+2$

Step-by-step explanation:

We will find the slope of the equation by $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$.

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

Slope is $m=\frac{14-8}{4-2}$

i.e. Slope, $m=\frac{6}{2}$

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. $8=3\times 2+c$

i.e. c= 8-6

i.e. c= 2

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

Hence, option B is correct.