Question

in the xy plane the graph of the function is a line.If h(-1)=4 and h(5)=1 .What is the value of h(0) ?

Answer 1

@calculusfunctions help

Answer 2

@zordoloom

Answer 3

Can you form an equation from this?

Answer 4

no :(

Answer 5

@zordoloom

Answer 6

okay, so one point would be (-1, 4). Can you find the other point?

Answer 7

(5,1)

Answer 8

the value of h(0) will be the y- intercept of the line.

Answer 9

Good, now use these values to find the slope.

Answer 10

how @campbell_st ?

Answer 11

@girlish do you still want my help on this?

Answer 12

slope is -1/2

Answer 13

Thats pretty close. But not exactly right.

Answer 14

well you have ordered pairs (1, 4) and (5, 1)

find the slope

the equation of the line will be

h(x) =mx + b m = slope of the line

Answer 15

yes what's the next step? @calculusfunctions

Answer 16

actually I think that is the slope

Answer 17

After You find the slope (-2/3). Use the point slope formula and one of the points.

Answer 18

oops (-1, 4) and (5, 1)

Answer 19

how do you get - 2/3 ...?

Answer 20

(1 - 4)/(5 - -1) = -3/6 = -1/2

Answer 21

oh, I thought it was (5,0) my bad.

Answer 22

yes it's -1/2

Answer 23

-1/2 is correct.

Answer 24

@girlish just substitute one of the ordered pairs into

\[y = -\frac{1}{2} x + b\]

and solve for b

the value of h(0) will be b

Answer 25

options for the question are
2.2
3.3
3.5
3.7

Answer 26

Wouldn't that be too easy? Just plug in the slope and one of the points into the point slope formula and solve for y. You'll have your y intercept, which is what you are looking for.

Answer 27

3.5 would be the aanswer.right?

Answer 28

yes, that would be correct.

Answer 29

thats all you need to do... you can use the slope point formula... but will get the same answer

Answer 30

that it... well done

Answer 31

thanks

Answer 32

yep.

Answer 33

@girlish h(-1) = 4 is the same as (-1, 4) and h(5) = 1 is the same as (5, 1). Thus the slope as you said correctly is -1/2. Now use this slope as the m and one of the given points as (x, y) to solve for b in the equation y =mx + b. I see you already got it.

Answer 34

thank u

Answer 35

can u simplify (x+2)(x-2)(x^4+16)(x^2+4)

Answer 36

@calculusfunctions

Answer 37

i solved part of it (x+2)(x-2) will become x^2-4

Answer 38

Now multiply (x² - 4)(x² + 4) in a similar manner.

Answer 39

{x^4 +(2)^4}+{x^2+(2)^2}

Answer 40

you told me to expand

Answer 41

how did it becum (x² - 4)(x² + 4)?

Answer 42

be quick

Answer 43

When you multiply two binomials, that is expanding. I am asking you to multiply (x² - 4)(x² + 4)

Answer 44

x^4-16

Answer 45

Don't rush me if you want my help. Yes!! Now multiply this result by the remaining binomial
(x^4 + 16)

Answer 46

the answer would be x^8-256 .Right?

Answer 47

YES!

Answer 48

That's the final answer!

Answer 49

:)