A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?

x
y
Negative two-thirds
Negative three-fourths
Negative one-sixth
Negative StartFraction 9 Over 16 EndFraction
One-third
Negative StartFraction 3 Over 8 EndFraction
StartFraction 5 Over 6 EndFraction
Negative StartFraction 3 Over 16 EndFraction

A It has the same slope and the same y-intercept.
B It has the same slope and a different y-intercept.
C It has the same y-intercept and a different slope.
D It has a different slope and a different y-intercept.

(B) It has the same slope and a different y-intercept

Step-by-step explanation:

The table is presented below:

Gradient:

Next, we determine its y-intercept

Using the pair in y=mx+c

Comparing with the linear function has an x-intercept of 12 and a slope of , we find out that It has the same slope and a different y-intercept.

Option B is the correct option.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18