F(0) =4 and f(2)=8 slope intercept form of the equation of the line

y=2x+4 or f(x)=2x+4

Step-by-step explanation:

f(0)=4 is (0,4) and f(2)=8 is (2,8)

first, find the slope using the equation y2-y1/x2-x1

8-4/2-0

4/2

2

now, take one of the points, and put it into the equation y2-y1=m(x-x1) (m is slope)

take (0,4) for example

y-4=2(x-0)

y-4=2x

y=2x+4

y=f(x)

so, substitute as

f(x)=2x+4

hope this helps!

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: