If f(x) is a linear function and given f(3)=−3 and f(8)=1, determine the linear function. a.) What is the slope? (Be sure to leave your answer in reduced fraction form.) b.) What is the y-intercept? (Be sure to leave your answer in reduced fraction form.) c.) What is f(x)? f(x)=

slope is 4/5

y intercept is  -27/5  

f(x) =  4/5x -27/5

Step-by-step explanation:

The slope is

f(8) - f(3)

8-3

1 - -3

8-3

1+3

5

4/5

We can use the slope intercept form to find the y intercept

y = mx+b where m is the slope and b is the y intercept

y = 4/5x +b

Using the point (8,1)

1 = 4/5(8)+b

1 = 32/5 +b

Subtract 32/5 from each side

5/5-32/5 = b

-27/5 = b

y = 4/5x -27/5

f(x) =  4/5x -27/5

21

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb