FIND THE equation of the linear function represented by the table below in slope intercept form

FIND THE Equation Of The Linear Function Represented By The Table Below In Slope Intercept Form

Answers

Answer 1

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute these points into this formula to find the slope of this linear function.

[tex]\displaystyle m= \frac{-5-(-3)}{2-1}[/tex]

Simplify and solve for the slope m.

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

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

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

Substitute m = -2 and the point (1, -3) into this equation.

[tex]y-(-3)=-2(x-1)[/tex]

Simplify this equation and put it into slope-intercept form: [tex]y=mx+b[/tex].

[tex]y+3=-2x+2[/tex] [tex]y=-2x-1[/tex]

The equation of the linear function represented by the table is y = -2x - 1.

Answer 2

Answer:

y= -2x - 1

Step-by-step explanation:

Take two of the points given by the data in the table.

Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.

Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).

The equation to find the slope of a line is:

Substitute these points into this formula to find the slope of this linear function.

Simplify and solve for the slope m.

The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.

Point-slope equation:

Substitute m = -2 and the point (1, -3) into this equation.

Simplify this equation and put it into slope-intercept form: .

The equation of the linear function represented by the table is y = -2x - 1.


Related Questions

Solve the equation for x.
5x - ( 4x - 1) = 2
a.
StartFraction 1 Over 9 EndFraction
c.
Negative StartFraction 1 Over 9 EndFraction
b.
- 1
d.
1

Answers

Answer:

D. x=1

Step-by-step explanation:

Solve  :    x-1 = 0

Add  1  to both sides of the equation :

                     x = 1

x = 1 for equation 5x - ( 4x - 1) = 2.

An equation is a mathematical statement that shows that two mathematical expressions are equal. It may have one variable, two, three and so on.

For given equation,

5x - ( 4x - 1) = 2

This is a equation in one variable which can be solved by transposing the terms.

Firstly, Solving the parenthesis,

5x-4x+1=2

Then, Solving the like terms.

x+1=2

To calculate the value of x, subtract 1 from both the sides.

x+1-1=2-1

x=1

Thus, the value of x is 1. So, option d) is correct.

Learn more about the equation, here:

https://brainly.com/question/29113090

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HELP PLEASE
Which of the following is closest to the circumference of a circle whose radius is 21 m?
7 m
66 m
132 m
33 m

Answers

Answer: 66

Step-by-step explanation: C=rx3x2 C=21x3x2= 66

Adele believes that 0.462 is written as "four tenths, sixty-two hundredths." Is she correct? Explain your answer. *


Answers

Answer:

Adele is not correct.

Step-by-step explanation:

The statement in itself wields an incorrect answer. However, when she states "sixty-two hundredths" it is further proven incorrect. This is because the 0.062 part of the total 0.462 would be pronounced as 62 thousandths.

Therefore, Adele is incorrect. The correct answer, however, would be: "Zero and four-hundred sixty-two thousandths."

p= 4d-3
work out the value of P when d=2​

Answers

Answer:

p=5

Step-by-step explanation:

p = 5_______________

Step-by-step explanation:

d = 2 ------ ( given )

p = 4d - 3

p = 4 × 2 - 3

p = 8 - 3

p = 5_______________FOLLOW ME

Help volume of a cone!!!!

Answers

Well formula is pie times radius squared times height over 3
Plug it all in and your answer is 20.94

Can somebody plz help solve these 2 word problems (only if u know how to do them) and show the equation! Thx :3

WILL MARK BRAINLIEST WHOEVER CAN ANSWER FIRST :DDD

Answers

Answer: For the first it would be 6, 3, and 7, 6 is double 3, and 7 is 1 more than 6, 6+3=9, and 9+7=16.

The second one is there were only 6 days that students were absent as 12 divided by 2 is 6.

A submarine hovers at 280 yards. If it ascends (rises) 140 yards and then descends (goes down) 360 yards, what is the new position?

Answers

Answer: 60 yards

Step-by-step explanation: Starting height is 280 yards, add 140 yards, then subtract 360.

1 m = 3.28 ft

About how many meters are in 41 feet?

Answers

Answer:

12.4968

Step-by-step explanation:

plz mark me brainlest and hope this helps

Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 6 cm, 8 cm, 9 cm, and
10 cm.

Answers

Answer:

[tex]\boxed{\textsf{ Sides are \textbf{ 6cm , 8cm and 10cm }.}}[/tex]

Step-by-step explanation:

Some sides are given to us and we need to show the converse of Pythagoras Theorem . So the statement of Converse of Pythagoras Theorem is ,

Converse of Pythagoras Theorem :-

If in a triangle the sum of squares of two sides is equal to the square of third side then the angle opposite to the longest side is 90° .

For complete solution kindly refer to the attachment.

Change 0.384 to a percent.
384%
3.84%
38.4%
38.4

Answers

Move over 2 decimal places
This would be 38.4%

Plz Help! I don't know how to solve this.

The measures of two angles of a triangle are given. Find the measure of the third angle.
147° 12′, 30° 19′
51° 20′ 14″, 106° 10′ 12″

Example: Applying the Angle Sum of a Triangle Property
The measures of two of the angles of a triangle are 48° and 61°. See Figure 17.
Find the measure of the third angle, x.
SOLUTION 48° + 61° + x = 180° The sum of the angles is 180°.
109° + x = 180° Add.
x = 71° Subtract 109°.
The third angle of the triangle measures 71°.

Answers

Answer:

Ummm I think the question is wrong, I don't fully understand.

Ill give brainliest! Sorry its sideways.​

Answers

Answer:

b. -2 and 2

I'm not sure about answer...

Answer:

2 and -2

Step-by-step explanation:

pretty much its asking when y = 4 what does x equal and if you look at the graph when y = 4 x = 2 and -2

F
14 cm
8 cm

Find the size of angle x.
Give your answer correct to 1 decimal place.

Answers

Answer:

[tex]x = 34.8^\circ[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we simply apply sin formula which is:

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

In this case, it is:

[tex]sin(x) = \frac{8}{14}[/tex]

[tex]sin(x) =0.5714[/tex]

Take arcsin of both sides

[tex]x = sin^{-1}(0.5714)[/tex]

[tex]x = 34.84791[/tex]

[tex]x = 34.8^\circ[/tex] --- approximated

The volume of a cylinder is 63 pi cm^3 . If the radius is 3cm, what is the height of the cylinder?

A. 3.5 cm
B. 21 cm
C. 10.5 cm
D. 7 cm

will give brainliest ​

Answers

Answer:

Step-by-step explanation:

volume = πr²h = π·3²h = 63π

h = 7 cm

The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.

We know that, the formula to find the volume of a cylinder is πr²h.

Now, πr²h=63π

π×3²×h=63π

h= 7 cm

Therefore, option D is the correct answer.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ5

There are 16 cups in a gallon. The equation c=16g gives the number of cups in terms of the number of gallons. Write another equation for this situation, giving the number of gallons in terms of the number of cups:

g=

Answers

The equation would just be G=1c

Answer:

g=16(24)

Sorry if I got it wrong!!

Step-by-step explanation:

f(x) = 3x + 2
What is f(5)?

Answers

Answer:

f(5) = 17

Step-by-step explanation:

f(x) = 3x + 2

Since the value of x is 5, we can plug it into the equation.

f(5) = 3(5) + 2

f(5) = 15 + 2

Hope this helped :)

3(5)+2
15+2

f(5)=17

Hope this helps!

Jackson wants to make at least $150 this weekend so that he can buy some new
baseball cleats. If he earned $77.50 on Saturday, write an inequality to find the amount
of cash he must make on Sunday.

Answers

Answer:

m ≥ $72.50

Step-by-step explanation:

James wants to purchase a set of headphones.
There is a 4% sales tax added to the cost of the
headphones. Find the total cost if the
headphones' original cost is $50.

Answers

52
Wants 20 charters to replie

What does a linear equation look like?
Straight line or curved line

Answers

straight line. because “linear” had the work line in it so just think of that when trying to remember

Find the gradient of the line segment between the points (-1,1) and (-1,4).

Answers

Answer:

The gradient of the line segment between the points (1,-1) and (3,-13) is -6

Step-by-step explanation:

The gradient of the line segment between the points (1,-1) and (3,-13) is -6

Step-by-step explanation:

We need to find the gradient of the line segment between the points (1,-1) and (3,-13)

The gradient is basically the slope of line.

The formula used to calculate slope\gradient is: Slope=\frac{y_2-y_1}{x_2-x_1}\\

We have x_1=1, y_1=-1, x_2=3, y_2=-13

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{-13-(-1)}{3-1} \\Slope=\frac{-13+1}{2} \\Slope=\frac{-12}{2}\\Slope=-6

So, gradient of the line segment between the points (1,-1) and (3,-13) is -6

is (0,-4)a solution ?
Please help :/ marked brainly

Answers

Answer:

Not enough informations

Answer:

no its -4

Step-by-step explanation:

"Gabriel y Román son joyeros y necesitan fundir 6 piezas de 9.5 gramos de bronce con 20 y media piezas de 20 gramos de plata para hacer una pieza de artesanía.

Al momento de verificar el metal que tenía disponible, Gabriel podía hacer 2 piezas y un tercio de otra, mientras que Román podía elaborar 4 piezas y un cuarto de otra

¿Cuánto metal tienen disponible para sus piezas entre ambos?"




por favor doy estrella ​

Answers

Answer:

36893/12, de gramo de cobre y plata para las artesanías.

También pudiste haber encontrado el resultado escrito en forma de número mixto que en este caso sería 3074 y 5/12

La respuesta es 3 mil 74 gramos y cinco doceavos.

En este ejercicio utilizaremos los conocimientos de estadística para calcular cuantas piezas se necesitarán para hacer el conteo, de esta forma encontramos que:

tres mil setenta y cuatro gramos y cinco doceavos.

       

Para iniciar el cálculo tendremos que:

[tex]36893/12 = 5/12[/tex]

También pudiste haber encontrado el resultado escrito en forma de número mixto que en este caso sería:

tres mil setenta y cuatro gramos y cinco doceavos.

Ver más sobre estadísticas en brainly.com/question/11509245


Rachel bought a triangular shaped piece of wood with a height of 6 inches and a base of 2
inches. She plans to cover the front with red paint. How many square inches of red paint will
she need?
(1 Point)
12 square inches
6 square inches
8 square inches
3 square inches

Answers

h=6in
b=2in
A=h•b/2
A=6•2/2
A=12/2
A=6 in sq

fill in the blanks: given 4a -3b =22.

a) if a=4,b=___
b) if b=6,a=___
c) if a=0,b=___
d) If b=0, a=___
e) If a=b, a=___​

Answers

Answer:

The answer are

A)

[tex]4 \times 4 - 3b = 22 \\ - 3b = 6 \\ b = - 2[/tex]

B)

[tex]4a = 22 + 3 \times 6 \\ a = 10[/tex]

C)

[tex]4 \times 0 - 3b = 22 \\ b = \frac{ - 22}{3} [/tex]

D)

[tex]4a - 3 \times 0 = 22 \\ a = \frac{22}{4} [/tex]

E)

[tex]a = 22[/tex]

What is the missing length?
P
21 ft
area =
378 ft?

Answers

Answer:

p = 18 ft

Step-by-step explanation:

A = 21p

378 = 21p

p = 378/21

p = 18

A model of a house is built on a base tha
measures 7 3/4 in. wide and 9 1/5 in. long.
What is the area of the model house's
base?

Answers

Answer:

A = 71.3 square inches

Step-by-step explanation:

31/4 · 46/5 = 713/10 or 71.3

as decimals you can multiply 7.75 x 9.2, which is 71.3

Help me please I would be very thankful.

Answers

Answer:

sorry I don't know the answer

If you guys are struggling, try looking up the whole worksheet with the tittle of the assignment

Answers

Answer:

YEAAAAAAAAAAAAAAAAAAAA

Step-by-step explanation:

Answer:

yeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Can someone plz help me with question? I would really appreciate if you do.

Answers

Answer:

16

Step-by-step explanation:

5+5+3+3=16

hope this help

The answer is 5+5+3+3 which is 16

solve y= 8x + 1 and 6= 6x + 3

Answers

7x+3 is your answer for your problem

Answer:

The first one is 5 the second one is 0.5

Step-by-step explanation:

Use desmos it makes your life easier

Hope this helps! :)

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