Write and equation of the line that passes through (-4, 2) and is parallel to the line y = 1/4x + 1

Answers

Answer 1

Answer:

y=1/4x +c

Step-by-step explanation:

2=-1+c

3=c

Answer 2

The equation of line passes through the point (-4, 2) will be;

⇒ y = 1/4x + 3

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-4, 2).

And, The parallel line is,

⇒ y = 1/4x + 1

Now,

Since, The equation of line passes through the point (- 4, 2).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = 1/4x + 1

m = dy/dx = 1/4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 2 = 1/4 (x - (-4))

⇒ y - 2 = 1/4 (x + 4)

⇒ y - 2 = 1/4x + 1

⇒ y = 1/4x + 1 + 2

⇒ y = 1/4x + 3

Therefore, The equation of line passes through the point (-4, 2) will be;

⇒ y = 1/4x + 3

Learn more about the equation of line visit:

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Related Questions

I need this hurry please
I’ll give brainliest if right, show work

Answers

Answer:

[tex]7x + y = 19 \\ 4x + y = 16 \\ so \: \\ 7x + y = 19 \\ - 4x - y = - 16 \\ 3x = 3 \\ x = 1[/tex]

[tex]7(1) + y = 19 \\ y = 12[/tex]

jeremiah is eating at a restaurant he decides too tip the waiter 18% of his meal. if his meal cost $15.00 how much did he pay in total

Answers

Answer:

$17.70

Step-by-step explanation:

$15.00×18%=$2.70

$15.00+$2.70=$17.70

3x-4=8 what does x represent

Answers

Answer:

The 'x' represents time. Like how many minutes it takes to make something or how many weeks it takes to save up $50

This recipe makes 10 portions of porridge.
Complete the amount of each ingredient that is needed to make just 7 portions.

Recipe: Serves 10
350 g oats
1,400 ML MILK
70 g sugar

Answers

Answer:

245g of oats

980ml of milk

49g of sugar

Step-by-step explanation:

350÷10=35

1,400÷10=140

70÷10=7

35×7=245

140×7=980

7×7=49

Graph the line y = -1/2x - 2​

Answers

Answer:

Step-by-step explanation:

Basically -1/2 is the slope meaning you go down 1 and go to the right by 2 and then the -2 is the y-intercept meaning when x=0 y=-2

0
1
2
3
4
5.
6
I don’t know what I’m doing

Answers

Answer:

me neither (TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)(TT)

what is the area of the figure below?

Answers

D) 53 inches squared

A contractor bought 7.6 ft2 of sheet metal. She has used 3.5 ft2 so far and has ​$123 worth of sheet metal remaining. The equation 7.6x−3.5x=123 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?

Answers

Answer:

Sheet metal remaining = 4.1x

cost per square​ foot of sheet metal = $30

Step-by-step explanation:

Total sheet metal bought = 7.6 ft2

Total sheet metal used = 3.5 ft2

Given equation:

7.6x − 3.5x = 123

Where,

x = cost per square​ foot

7.6x − 3.5x

Sheet metal remaining = 4.1x

7.6x − 3.5x = 123

4.1x = 123

x = 123 / 4.1

x = $30

Cost per square​ foot = $30

The ratio of the measures of the sides of a
triangle is 2:8:9. If the perimeter of the triangle
is 76 inches, find the length of each side.

Answers

Answer:

The length of the sides are 8 , 32 , 36

Step-by-step explanation:

Ratio of sides = 2  : 8 : 9

The sides are 2x , 8x , 9x

Perimeter of triangle = 76 inches

2x+ 8x + 9x  = 76

              19x = 76

                 x = 76/19

x = 4

2x = 2*4 = 8

8x = 8 * 4 = 32

9x = 9 * 4 = 36

Answer:

TIMES THEM BOTH AND DIVIDE BY 2

Step-by-step explanation:

2. A figure is reflected
from Quadrant II to
Quadrant III.

You are supposed to identify the line of reflection by by writing the x-axis or y-axis

Answers

Answer:

Y-axis

Step-by-step explanation:

Visualize It!

make a sketch of the x-y plane and grid on a piece of paper.

Now fold it so that quadrant II falls on quadrant III.

Does the crease fall along the horizontal (x-axis) or the vertical (y-axis) ??

Also please be sure to like it and thank me sir It would make me happy since i have 28 million help's on my other account.

The school that Alberto goes to is selling tickets to a fall musical. On the first day of ticket sales
the school sold 6 senior citizen tickets and 2 child tickets for a total of $96. The school took in
$120 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.

Answers

Answer:

The price of both tickets is $12 each

Step-by-step explanation:

System of Equations

Let's call:

x = price of a senior citizen ticket

y = price of a child ticket.

On the first day of ticket sales, the school sold 6 senior citizen tickets and 2 child tickets for $96. Setting up the first equation:

6x + 2y = 96

Dividing by 2:

3x +  y = 48         [1]

On the second day, the school sold 6 senior citizen tickets and 4 child tickets for $120:

6x + 4y = 120

Dividing by 2:

3x + 2y = 60         [2]

Subtracting [2] and [1]:

2y - y = 60 - 48

y = 12

From [1]:

3x +  12 = 48

3x = 48 - 12 = 36

x = 36/3 = 12

x = 12

The price of both tickets is $12 each

Please help me with this homework

Answers

Both questions are true
Question 5 is true
Question 6 is false
Question 6 5^0=1 so (5^0)^3 is 1^3

Someone Help fast please

Answers

Answer:

CD and EF are parallel

Step-by-step explanation:

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Those two lines will always be the same distance apart, and they will never intersect, so therefore they are parallel.

I need both answers now please and don answer if u don’t know

Answers

Answer:3048.7804878

Step-by-step explanation:

I took the same test p.s. you may need to round.

identify the polygon and classify it as regular or irregular



A. quadrilateral; regular

B.quadrilateral; irregular

C.pentagon; regular

D.pentagon;irregular

Answers

Answer:

B. quadrilateral; irregular

Step-by-step explanation:

Quadrilateral because it has 4 sides

Irregular because its angles and sides aren't all equal

Can somebody help me with this question. Will mark brainliest.

Answers

Answer:

4ft

Step-by-step explanation:

sorry for my mistake

Answer:

4 ft

Step-by-step explanation:

the ratios are as follows

X/6=50/75

50(6)=X(75)

300=75X

X=4

Someone please help?? This is constant of proportionality... I don't get it at all and I need to turn this is ASAP!!!

Answers

Answer:

Step-by-step explanation:

From the given graph the line is straight ,so it means that the relation between x and y is directly proportional

(or) you can also say that at each point the slope of the line is same

slope =y/x ,  slope= 26/2  = 65/2 = 117/9 =13

hence slope is same that's why relation between x and y is direct relation

y∝ x

y=k*x

k=y/x

putt any point one the line to find the value of constant of proportionality,

i putt (2,26)

k=26/2 =13 value of proportionality constantnow to find cost of 14 tickets ,we have  y=13*x    , now putt x=14we will get cost(its on y-axis while ticket is on x-axis)y=13*14y= $182 cost of 14 ticketsso "C" option is correct

Answer:

Step-by-step explanation:

.........

this ones confusing, i wish i could help sorry.

can u answer question plezz​

Answers

Answer:

20cm square

Step-by-step explanation:

what is 5 dogs + 180 cats?

Answers

Answer:

Step-by-step explanation:

185 dogs and cats

Answer:

185 animals altogether ig?

Step-by-step explanation:

HELP PLEASE WILL GIVE 100 POINTS AND MARK BRAINLEST​

Answers

Answer:

P = -10

Step-by-step explanation:

P = 4 - 2r

P = 4 - 2 (-7)

P = 18

Answer:

P = 18

Step-by-step explanation:

p = 4 - 2r

p = 4 - 2(-7)

p = 4 + 14

p = 18

Therefore, your answer would be P = 18

the 8th term of 3, 3/2, 3/4

Answers

Answer:

3/12

Step-by-step explanation:

Use Pythagorean Theorem to solve following questions, find your answers in the legend below: *

Answers

1 is 5. It cannot be negative. 2 is 41. And 3 is 27

TRUE OR FALSE:

2y + 3 + y + 2 + 4 = 3y + 9

Answers

That is TRUE. If you combine like terms you get:
3y + 9 = 3y + 9
Its true, its combine like term : 2y + y = 3y and 3 + 2 + 4 = 9! Which is 3y + 9!

1. Which of the following IS TRUE about an asymptote lines?

a. They are invisible lines that the graph cannot cross

b. They are always on the x axis and y axis

c. They only touch the function when x = 0

Answers

Answer:

The answer is B They are always on the x axis and y axis

what is the answer to this equation -7 c + 2 = 16?

Answers

Answer:

c=-2

Step-by-step explanation:

Equation: -7c+2=16

-7c=16-2

-7c=14

c=14/-7

c=-2

Answer:

c = - 2

Step-by-step explanation:

Given

- 7c + 2 = 16 ( subtract 2 from both sides )

- 7c = 14 ( divide both sides by - 7 )

c = - 2

the value of an autograph of a famous actor increased from $40 to $64 what is the percent of increase please hurry!

Answers

Answer:

62.5%

Step-by-step explanation:

64-40= 24 - this means the increase was more than half the original price.

40/64 = 0.625 * 100= 62.5%

can also be rounded up to 63%

simplify the expression

b+4b+-9b

Answers

I think it’s -4b? The only way you can simplify is getting the expression

Complete the table using the equation y = 7x + 9.
X
-1
0
1
2
3
Y

Answers

Answer:

y=2

Step-by-step explanation:

this is because if you do 7x-7 it gets you to 0x and then you do 9-7 which gets you to 2 and then leaves you with y=2

Answer:

y=2.........................

I NEED HELP. PEOPLE KEEP ANSWERING WITHOUT KNOWING THE ANSWER AND IT IS FOR MY GRADE.

Answers

Answer:

Im pretty sure its VA

Step-by-step explanation:

I hope this helps you out!

Most likely VA if not sorry!

ok so what is 100-23

Answers

Answer:

77 lol

Step-by-step explanation:

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