Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.

Determine Whether The Table Of Values Below Represents A Linear Function. If It Represents A Linear Function,

Answers

Answer 1

Answer:

The equation of a linear function is:

[tex]y = 2x+4[/tex]

Step-by-step explanation:

Given the table

x                    y

-10               -16

-3                 -2

1                    6

2                   8

Determining the slope between the points (-10, -16), (-3, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (-3, -2), (1, 6)

[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (1, 6),(2, 8)

[tex]m=\frac{8-6}{2-1}[/tex]

[tex]m = 2[/tex]

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 2 and any point let say (1, 6)

[tex]y - 6 = 2(x-1)[/tex]

[tex]y-6 = 2x-2[/tex]

[tex]y = 2x-2+6[/tex]

[tex]y = 2x+4[/tex]

Therefore, the equation of a linear function is:

[tex]y = 2x+4[/tex]

Related Questions

Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A. 6 1/2 B. 6 7/10 C. 7 1/2 D. 8

Answers

Answer:

B. 6 7/10

Step-by-step explanation:

We solve the above y by carrying out addition.

The quarts of Lemonade she made is calculated as:

1 2/5 quarts of syrup + 5 3/10 quarts of water

= 1 + 5 + (2/5 + 3/10)

Lowest common denominator = 10

= 6 ( 4 + 3/10)

= 6 7/10 quarts of Lemonade

Mrs Olive made 6 7/10 quarts of Lemonade

please help asap , explain how you got the answer .

Answers

Answer:

f(x)= -2/5x-4

Step-by-step explanation:

-2/5 is the slope and -4 is the y intercept

Please help me find the value of x

Answers

Set the equations to equal each other because the angles are equal.
8x - 63 = 4x - 27
+63 on both sides
8x = 4x + 36
-4x on both sides
4x = 36
/4 on both sides
x = 9

Answer:
x = 9

Answer:

hhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

x=9

solve each system using the substitution method 6x-y=-4 and 2x+2y=15

Answers

Convert 6x - y = -4 into y = mx + b
Y - 4 = 6x
Y = 6x + 4
Substitute that into second equation
2x + 2(6x + 4) = 15
2x + 12x + 8 = 15
14x = 7
X = 1/2
6(1/2) - y = -4
3 - y = -4
-y = -7, y = 7
Final answer: x = 1/2, y = 7

lines l and m are parallel line i is represented by the equation 3x+4y=8 if line m passes through the point (2,-5) which equation represenrs line m

A y-5=-3/4 (x+2)
B y+5= -3/4(x-2)
C y-5= 4/3(x+2)
D y+5= 4/3(x-2)

Answers

Answer:

B

Step-by-step explanation:

because the math

how many boys perfer the ferris wheel?

Answers

Answer:

10 Boys

Step-by-step explanation:

10 boys prefer the Ferris wheel because the total amount of boys is 35, but 23 of those 35 boys prefers the Super Slide, meaning what's left is who prefers the Ferris wheel since there are only 2 options for them to choose from.

35 boys - 23 boys (who like the Super Slide) = 10 boys (the remainder who likes the Ferris wheel).

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

10 boys because they have to school tomorrow and then I can play with my friends at the same school lol I can get you to the school and I can play with my kids if I don’t want you out and then you have a birthday and then you go out to school and I get you out and I can play play it on my birthday if I get home I’m not gonna play with me I just don’t know if it’s not ok with that I’m going out with the bus I just don’t know if it’s a because

Which part of this graph shows a nonlinear relationship?
Depth of water
2
3
Time
A. 2.
B. 1
C. 3
O D. 4

Answers

The non-linear relationship is shown in part 1 of the graph. Then the correct option is B.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the given graph we can see the variation in the depth of the water with respect to time. In the first part, the relation is non-linear because the graph is curved.

In the remaining parts, there are straight lines which are showing linear relationships.

Hence, the correct option is B.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ2

please help please please help

Answers

It should be 3/16 sense there is 16 balls in total in Team A's basket.

Hi this is a challange what is.....

700 x 500 = ?

Answers

Answer:

do 7 x 5 then add 4 zeros so its 350,000

Step-by-step explanation:

Answer:

Yo mom

Step-by-step explanation:

350,000

What is the slope of the line 4x – 2y = 10? Explain your process (show your steps) for determining the slope.​

Answers

solve for y.
subtract 4x from both sides
-2y = -4x + 10
divide everything by -2
y = 2x - 5
slope intercept form is y = mx + b, with m being the slope, so 2 is your slope

Im struggling pls help

Answers

A, a lot of the kids eating breakfast are 10-13.

What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?​

Answers

Answer:

y=-4/3x-3

Step-by-step explanation:

The equation of the line that passes through the given point will be equal to (-4/3)x - 3.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

The given equation is,

4x + 3y = 15

And the point is (-3, 1)

3y = 15 - 4x

y = (-4/3)x + 15

The line has a slope, of -4/3.

Then, use the equation,

B = y - mx

B = 1 - (-4/3 × 3)

B = -3

So,

y = (-4/3)x - 3

To know more about Equation:

https://brainly.com/question/29657983

#SPJ5

find the surface area of the rectangular prism
please show work!

Answers

lw+lw+wh+wh+lh+lh=
(7*4)+(7*4)+(4*5)+(4*5)+(5*7)+(5*7)=
28+28+20+20+35+35=
Answer: 166 in.^2

Which statement correctly describes the expression (–12)7

Answers

Answer:

answer #n

Step-by-step explanation:

we cant see the options

Answer:

One factor is positive and one factor is negative, so the product will be negative.

Step-by-step explanation:

z= 77-27.8i
what are the real and imaginary parts of z

Answers

Answer:

49.19

Step-by-step explanation:

simple

Answer:

b on khan

Step-by-step explanation:

Giving brainliest need help with this please

Answers

Answer:

y-intercepts: (0,5)

x-intercepts: (5/2,0)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y

which of the following is a non terminating decimal ( )

a)¾ b) ⅘ c)⅓ d) none ​

Answers

C is a non terminating decimal.

a = 0.75

b = 0.8

c = 0.333333 (and will never terminate)

I need the answers bad

Answers

Answer:

m<1=72

m<2=72

m<4=72

Step-by-step explanation:

If Tomas rides his bike at a steady rate of 4 miles in 6 minutes, how much miles can he do in 1 minute? PLEASE HELP

Answers

4 Miles 6mins
X
X 1 min
4 =6x
x= 2/3

Someone help plz right answer gets brainliest

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

What do you need help with?

Help plssssssssss!! Will give brainliest!! 1 and 2

Answers

Answer:

Step-by-step explanation:

5+4^2-6/3

use pemdas

Answer:hahaj

Step-by-step explanation:

PLEASE HELP ASAP
Louis earns a base monthly salary of $1,200 with 5% commission on sales. For a month with $25,000 in sales, what are Louis's total earnings?

Answers

Answer:

$2,450

Step-by-step explanation:

Since Louis earns 5% commission on sales, multiply the sales by 0.05:

25,000 × 0.05 = 1,250

Add that to the base salary:

1,250 + 1,200 = 2,450

Hope this helped!

this is a little tricky I need help​

Answers

Answer:

1.5

Step-by-step explanation:

1 The ratio of boys to girls is 3-2. If
there are a total of 20 children in
Mrs. Barlow's class, how many are
girls?
Explain how you solved this problem
A 5
В. О
C. 8
D 2



can you guys help please??

Answers

C. 8 Girls
3+2=5
20/5=4
4x2=8

What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1

Answers

Answer:

32 - 1

Step-by-step explanation:

If g(x) = 2(x – 4), find the value of x if g(x) = 20. (2 points) 0 14​

Answers

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

g(x) = 2(x - 4)

g(x) = 20

Step 2: Solve for x

Substitute:                               20 = 2(x - 4)Divide 2 on both sides:          10 = x - 4Add 4 to both sides:               14 = xRewrite:                                    x = 14

Use the equation to answer the question.
125 = 25 x 5
Which statement does the equation represent?
O A. 25 is 5 more than 125
B. 25 is 5 times as many as 125
C. 125 is 25 more than 5
D. 125 is 25 times as many as 5

Answers

Answer:

its either A/B

Step-by-step explanation:

The answer Is B well I Think cause that how I learned it

Which equation represents the graphed function

Answers

Last one :) shshshdhdbdhd

How do you write 80% as a decimal?

Answers

Answer:

0.8

Step-by-step explanation:

It would be 80/100, move over two times, the decimal is 0.80

Which decimal Represents the portion that is NOT shaded ?

Answers

7/10 and 0.7 would be the answer
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