What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?
A. O y=-3x+
B. O y = 2x - 3
CO y = 2x
DO y = 2x + 3

Answers

Answer 1

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

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

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

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

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

[tex]y-1=2\left(x-\left(-1\right)\right)[/tex]

[tex]y-1=2\left(x+1\right)[/tex]

Add 1 to both sides

[tex]y-1+1=2\left(x+1\right)+1[/tex]

Simplify

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

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

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

Hence, option D is true.


Related Questions

Plz help due tomorrow

Answers

Answer:

11.2 - 10y

Step-by-step explanation:

= 4-3y +(-7y) + 7.2

= 4 -3y -7y +7.2

= 4 -10y +7.2

= 4 +7.2 - 10y

= 11.2 - 10y

Answer:

4-3y+(-7y)+7.2

4-3y+-7y+7.2

11.2-3y-7y

11.2=10yu

Step-by-step explanation:

hope you like my answer

suma y resta polimonios
5+5n³ - 1-3n³​

Answers

Answer: 4+2n³​

Explanation:

5+5n³ - 1-3n³​

Step 1. Collect like terms

(5−1)+(5n³​-3n³​)

Step 2. Simplify

4+2n³​

Answer:

4+2n³ o 2(2+n³)

Step-by-step explanation:

— 2y – Зу +8 = 8 — 5у – 12

Answers

Answer:

No Solution.

Step-by-step explanation:

Equality equation:

— 2y – Зу +8 = 8 — 5у – 12  (Given)

-5y + 8 = -4 - 5y (distributive property of equality)

-5y = -12 - 5y (subtraction property of equality)

= -12 (addition property of equality)

when you add 5y on both sides it cancels the 5y out, it's no solution.

Ace-The Kid Laroi

Atlanta, GA has a CPI of 168. Seattle, WA has a CPI of 204. How does the purchasing power of an Atlanta resident
earning a $32,800 salary compare to the purchasing power of a Seattle resident earning a $46,400 salary?
a. The Atlanta resident has $34.46/CPI more than the Seattle resident.
b. The Atlanta resident has $83.20/CPI more than the Seattle resident.
The Seattle resident has $48.74/CPI more than the Atlanta resident.
d. The Seattle resident has $32.21/CPI more than the Atlanta resident.
Please select the best answer from the choices provided
A
B
D
Previous Activity

Answers

Answer:

D

Step-by-step explanation:

Ege 2021

The Seattle resident should be considered  $32.21/CPI when it is  more than the Atlanta resident.

What is the consumer price index?

It is applied for determining the inflation.

For comparing the purchasing power here first we have to adjust the income with respect to inflation and then divide the incomes

So it can be like

Real income of the person from Atlanta =  [tex]$32,800 / 168[/tex] = 195.24

Real income of the person from Seattle = [tex]$46,400 / 204[/tex] = 227.45

So,

Difference in real income should be

= 227.45  195.24

= $32.21

Learn more about consumer here: https://brainly.com/question/17564376

This graph shows the solution to which inequality?
-3,-3)
O A. y> x-2
O B. y< - 2
O C. y> fx-2
O D. y< 1/x-2

Answers

Answer:

The answer is C. y > 1/3x - 2

_____________________

Explanation:

> [greater than], and < [less than] are dashed or an unfilled circle because the value is not included, and only less than or greater than.

≥ [greater than or equal to], and ≤ [less than or equal to] are solid lines or a filled circle because the value is included, and is less than or greater than.

Please help! This is due soon!

Answers

Answer:

32

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving for

w= p/2 -l =116/2-26=32

The answers 32 hope this helps

On a map, 1cm is used to represent 12km find the actual distance between two places A and B, if the distance between them on the map is 3.5cm​

Answers

Answer:

42 km

Step-by-step explanation:

1 cm = 12 km

3.5 cm = ? km

1 x 3.5 = 3.5

12 x 3.5 = 42

3.5 cm = 42 km

A football team lost a total of 2 1/2 yards in 5 plays. What was the average change in yardage per play?

Answers

Answer:

0.5 yards

Step-by-step explanation:

average change in yardage per play = total yards / number of plays

2.5 yards / 5 = 0.5 yards

Find the coordinates of the midpoint of the segment with the endpoints M(-5,9) and N(-2,7).

Answers

(-3.5, 8)

You figure this out with the midpoint formula

Suzy is using a bucket to collect nuts from a nut tree. She then dumps the bucket into a barrel for shipping of the nuts. She notices that 1 over 2 the bucket of nuts fills 2 over 3 of the barrel.

Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

Answers

9514 1404 393

Answer:

  a) b = (1/2)/(2/3); b = 3/4

  b) it takes 3/4 bucket to fill a barrel

Step-by-step explanation:

a) Apparently, the number of buckets and the number of barrels is proportional, so we can write an equation for b, the number of buckets to fill a barrel, as ...

  buckets/barrels = b/1 = (1/2)/(2/3) . . . . the equation

Of course, b/1 = b, so we simply need to simplify the compound fraction to find the solution.

  b = (3/6)/(4/6)

  b = 3/4 . . . . the solution to the equation

__

b) The solution to the equation is the answer to the question. It takes 3/4 bucket of nuts to fill the barrel.

PLEASE HELP ME!!!!!!
What power did the national government NOT have under the Articles of Confederation?

Answers

Answer:

The Articles of Confederation created a national government composed of a Congress, which had the power to ... Under the Articles, the states, not Congress, had the power to tax. ... The Articles of Confederation did not include a president.

Step-by-step explanation:

Hope this helps;)

Answer correctly for brainliest +10 points

Answers

Answer:it’s the third one

Step-by-step explanation:

It’s beacuse im big brain and smart

so i need help plz help 3 ÷ s =7

Answers

Answer:

2.1

Step-by-step explanation:

Answer:

There is no possible answer for this unless you're teacher wants you to rearrange the equation.

Step-by-step explanation:

What is the value of 1 2/3​

Answers

your answer would be 1.66666666667 but put it in as 1.6

Answer:

5/3

Step-by-step explanation:

3 multiplied by 1 then adding 2 which equals 5. 5 over 3

you are welcome. :)

5x=15 y 2x=6
Son ecuaciones equivalentes?

PORFAVOR AYÚDENME ES EMERGENCIA

Answers

Si, los dos son iguales

Cuando haces 5x=15, la división dice que x = 3. Para 2x=6 puedes usar el resultado de x=3 de la problema de antes, y cuando te usas esto va a ver que 2 de x cuando x=3 es igual a 6, y por eso 5x=15 y 2x=6 son equivalentes.

A circle has an area of 113.0973. What is the radius? (round to the nearest whole number)

Answers

Answer:

r≈6

A Area

113.0973

Step-by-step explanation:

Using the formula

A=πr2

Which of the numbers below is less than zero? Select all that apply.
A-3

B) -9/2

C) 3.5

D) 3/4

E) -4.5

Answers

Answer:

A, B, E area ll less than 0

Step-by-step explanation:

They are all negative numbers.

Answer:

A, B, E

Step-by-step explanation:

All negative numbers are less than zero.

Drag the numbers below to put them in order from least to greatest: 4 16 1 7 -2 -20​

Answers

Answer:

Are the 1 and 7 rogether? because if so then -20, -2, 4, 16, 17, if not then -20, -2, 1, 4, 7, 16


What is the slope of the line?

Answers

Answer:

Answer:

[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ slope \ of \ line \ is \ 1.}}} [/tex]

Step-by-step explanation:

Here a graph of line is given and we need to find the slope. So here we can see that the line intersects y - axis at (0,2) and x - axis at (2,0 ). And we know that the slope of the line is tan∅.

[tex]\green{\bf \implies Slope = tan\theta }\\\\\bf\implies Slope = \dfrac{perpendicular}{base} \\\\\bf \implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope = \dfrac{2-0}{2-0} \\\\\bf\implies Slope =\dfrac{2}{2}\\\\\bf\implies \boxed{\red{\bf Slope = 1 }}[/tex]

Hence the slope of the line is 1.

b)
a)
t
50°
x 110°
x =
y=

Answers

Answer:

?????

Step-by-step explanation:

ummm is this even a problem

Question 3 (1 point
Suppose you toss a fair coin 100 times and get 51 heads and 49 tails. What is the probability that the next flip results in a tail

Answers

Answer:

.50 or 50%

Step-by-step explanation:

Since it is a fair coin, every time you flip it you have an equal chance of getting a heads or a tails. Since these are indpedent events what you got before does not affect what you will get, thus the answer being 0.50 or 50%.

What is the domain of this table? Does this table represent a function?

Answers

La d es tu respuesta su porfavorv no me hagas DNAs fñptehuntas

Help me please I’m almost done ayyayayayatayayy

Answers

Answer:

4(5j+3j) is 32j

4(3j) is 12j

5j+3j+9j is 17j

Step-by-step explanation:

(13/7) to the power of 2 help?

Answers

Answer: 169/49

that is your awnser

(13/7) ^ 2 = 13^2/7^2

169/49

Hope this helps

PLEASE HELP ASAP WILL GIVE BRAINLIEST.
Select each interval where the graph is decreasing.


​ −1
−4
​ 2
​ 3

Answers

Answer:

Two and three are the answers

Answer:

1- and -4

Step-by-step explanation:

Help asap! This is due in three hours! Casey wants to buy a gym membership. One gym has a $156 joining fee and costs $29 per month.

Another gym has no joining fee and costs $55 per month

In how many months will both gym memberships cost the same? What will that cost be?

Both gym memberships will cost the same in ___ months.

The cost will be $__.

Answers

Answer:

The costs are never exactly the same. But they are EXACT in 1.86 months. The cost being 102.14.

Step-by-step explanation:

Try setting up an equation for both of them, setting them equal and then solving.

First Gym Cost = 156 + 29x   Where x is the number of months

Second Gym Cost = 55x

156+29x=55x

84x=156

x=156/84

A poster is shown below: 6 inches 7 What are the dimensions if the poster is enlarged by a factor of 2? (5 points) O a 42 in by 126 in Oь 3 in by 9 in 9 in by 12 in O d 21 in by 63 in​

Answers

Given:

The original dimensions of a poster are 6 inches  by 7 inches.

It is enlarged by a factor of 2.

To find:

The dimensions of enlarged poster.

Solution:

Let the length of the original poster is 6 inches and width is 7 inches.

It is enlarged by a factor of 2. It means, we have to multiply each dimension by 2.

Length of enlarged poster = 2 × 6 inches

                                            = 12 inches

Width of enlarged poster = 2 × 7 inches

                                          = 14 inches

Therefore, the dimensions of enlarged poster are 12 inches by 14 inches.

Note: All options are incorrect.

Find the equation of the line shown

Answers

Answer:

y = 1/2x

Step-by-step explanation:

pass (0,0) and (10,5)

y intercept (b) = 0

slope (m) = (5-0) / (10-0) = 5/10 =1/2

equation y = mx + b

y = 1/2x

A cleaning product sells for $0.75 a quart. Which equation can be used to solve for the total cost, C , of five gallons of the product?

Answers

Answer:

C= 5 × ($0.75 × 4)

Step-by-step explanation:

There are 4 quarts in a gallon, multiplying the cost by 4 will give you one gallon of cleaning product. Multiply it all by 5 to get 5 gallons of the product.

what is 52,437 rounded to the nearest hundred

Answers

Answer:

52,400

Step-by-step explanation:

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