Line A (y = 2x + 4) is transformed into Line B (y = x-9). Which best describes
the new slope and y-intercept?
The slope is [ ? ],
and the line is shifted [?]

the slope is flatter.

the line is shifted down by 13 units (or shifted by -13 units).

Step-by-step explanation:

the slope of a line is expressed by the ratio y/x defining how many units y changes, when x changes a certain amount of units.

the slope of A is 2 (factor of x) = 2/1.

and that means when x changes one unit, y changes 2 units.

the slope of B is 1 = 1/1.

when x changes 1 unit, y changes 1 unit. so, B is flatter (it does not climb up so fast).

and the constant numbers in the equations give us the offset of the lines in y direction for x=0.

A cuts the y-axis at y=+4, and B cuts it at y=-9.

so, B is shifted from A by 4 - (-9) = 13 units.

(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

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent