What is the equation of a line parallel to:

PLEASE EXPLAIN. STEP BY STEP

What Is The Equation Of A Line Parallel To: PLEASE EXPLAIN. STEP BY STEP

Answers

Answer 1

Answer:

y= ⅗x +1

Step-by-step explanation:

Given line: y= ⅗x +4

Gradient= ⅗

The gradient of the line can be found from the coefficient of x. This applies only when the equation is in the slope-intercept form (y= mx +c).

In the slope-intercept form, the coefficient of y is 1 and all the other terms and constant is on the right-hand side of the equation while the y term is on the left-hand side.

Parallel lines have the same gradient. Thus the line parallel to y= ⅗x +4 would have the equation of y= ⅗x +c, where c is the y-intercept.

To find the value of c, substitute a pair of coordinates into the equation.

Given that the line passes through (-5, -2), we can substitute this coordinates into y= ⅗x +c.

When x= -5, y= -2,

-2= ⅗(-5) +c

-2= -3 +c

c= -2 +3

c= 1

Thus, the equation of the line is y= ⅗x +1.


Related Questions

Can someone Help me with this pls

Answers

Answer:

You need to add 30+21=51 Students

51 you just had to add the two numbers

Find the product of (x 5)(x − 5). X2 − 10x 25 x2 10x 25 x2 − 25 x2 25.

Answers

Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)(x-5) = x^2 - 25[/tex]

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

[tex](x+5)(x-5) = x(x - 5) + 5(x - 5) \\\\(x+5)(x-5) = x^{1+1} - 5x + 5x - 25 = x^2 - 25[/tex]

Thus,

The product of [tex](x+5)(x-5) = x^2 - 25[/tex]

Learn more about polynomial product here;

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What are the next two numbers in the pattern

Answers

64, 128
the pattern is just doubling the previous number

Answer:

64, 128..

Step-by-step explanation:

each number gets doubled to get the next number

Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used? Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used?
Kaleigh
4(3x + 2) = 8x + 4
12x + 8 = 81 +4
4x = -4
x = -1
Destiny
4(3x + 2) = 8x + 4
4(3x + 2) 8x + 4
4
4
3x + 2 = 2x + 1
x = -1​

Answers

Answer:

who's asking?

Step-by-step explanation:

3. A scientist recorded the movement of a pendulum for a period of time. The scientist began recording when
the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left
(negative displacement) several times. The pendulum took 5 s to swing to the right and then return to its
resting position. The pendulum's furthest distance to either side was 7 in. Graph the function that represents
the pendulum's displacement as a function of time.
(a) Graph the function (include at leaſt one full cycle).
(b) Write an equation to represent the displacement of the pendulum as a function of time.

Answers

Anserr:

put c trust, its always the right answer

The data set shows the number of people who attended a concert over a period of 10 days.


12, 35, 27, 55, 22, 23, 60, 49, 15, 66


What is the mean of this data set?


Round the answer to the nearest tenth.





29.8


35.2


36.4


40.4

Answers

Answer:

40.4

Step-by-step explanation:

I took the test

Given Data set of people who attend the concert has a mean of 36.4.

What is the mean?

the sum of the values by adding them all up. Divide the sum by the number of values in the data set is known as the mean.

Given The data set shows the number of people who attended a concert over a period of 10 days.

12, 35, 27, 55, 22, 23, 60, 49, 15, 66

the Sum of the given data set = 364

from the general formula of the mean

mean = (sum of data)/ number of data

Given the number of data = 10

Thus

Mean = 364 / 10

Mean = 36.4

therefore, the Mean of the given Data set is 36.4.

Learn more about mean here:

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#SPJ2

15. Your research problem should have a positive impact on the field.

a. Timely c. Novel

b. Significant d. Supported by Literature

16. It is the question that a researcher wants to answer or a problem that wants to be

solved.

a. Researchable c. Novel

b. Timely d. Research Problem


pls help​

Answers

Answer:

15: significant 16: research problem

B,b cause it is the answer to it

Abigail and Spencer calculate the slope of the line between the points (3,-1) and (5,4) in different ways. Abigail calculates the slope by dividing -1 - 4 with 3 - 5. Spencer divides 4 - (-1) by 5 - 3. When they check their work with their mutual friend Lauren, she says that they are both wrong and shows them her work. She calculates -1 - 4 and divides by 5 - 3. Who is correct among these three friends? Who is incorrect? Why?
You must show all of your work to receive credit.

Answers

Abigail and Spencer are correct, Lauren is incorrect.

HELPPPPP MEEEEE PLEASEEEE

Answers

Answer:

I don't know sooooooooop

mark me as brainliest ok understood

I’m not sure that you’re able to put in the boxes as there is no picture of thst but i believe
Red line: Y=-1/3x+2
Blue line: Y=3/2x3

Find the value of x.

Answers

Answer:

75° = x°

Step-by-step explanation:

there are 4 right angles

so with the line being linear, the angle on each side is 15°. so you take

90° (right angle) - 15° (the inside angle) = 75°. or the outside angle

do 75 + 15 to check

Answer:

x=75°

Step-by-step explanation:

AG`D=90°

FG'D =15 vert. opp.angl

90-15=75


The table shows the results of a survey about students' preferred subjects in middle
school. What is the probability that a randomly selected student from the survey is a
7th grader that prefers English? Write your answer as a fraction and NOT as a
decimal.

Answers

Answer:

19/149

Step-by-step explanation:

38/298 = 19/149

7th graders who prefer English out of all students

The graph shows the amount of protein contained in a certain brand of peanut butter.







​Which statement describes the meaning of the point on the graph?

A

There are 666 grams of protein per tablespoon of peanut butter.

B

There are 303030 grams of protein per tablespoon of peanut butter

C

There are 666 grams of protein in 303030 tablespoons of peanut butter.

D

There are 303030 grams of protein in 666 tablespoons of peanut butter.

Answers

The answer is D!
Please give brainiest!

A map uses a scale
of 1.5 cm = 25 mi.
If two cities are 150 miles
apart, how far apart will
they be on the map?
225

Answers

9 cm
Divide: 150/25=6
Multiply: 6*1.5=9
Hope this helped:)

If the ratio of homes without children to homes with children is about 8:7 if there is 4125 homes how many are without children

Answers

Answer:

2200

Step-by-step explanation:

8+7=15 4125/15=275 275x8=2200

Need answers for 3 and 4 please.

Answers

Here is the answer!!

Miss Robbins needs a border for a bulletin board
that has a length of 90 centimeters and a width of
75 centimeters. How many centimeters of border
does she need?

Answers

Answer:

330 cm

Step-by-step explanation:

90 x 2 =180

75 × 2 = 150

180 +150 = 330

Correct answer will have the brainliest answer look at the image pls.

Answers

Answer:

2nd option

Step-by-step explanation:

A=wl=2.75·2.25=6.1875

2 1/4= 2.25

2 3/4= 2.75

Mr. McKinney is planning to purchase new carpet for his large family room. The dimensions of the room are shown in the diagram. How much carpet will he need?

Answers

Answer:

204 ft²

Step-by-step explanation:

Let's split the room to make it look like there are two squares.

We can make it to where one square is 14 ft long and 10 ft wide.

The other square can be 16 ft long and 4 ft wide

Find the areas of those two squares by multiplying width and length

14 x 10 = 140

16 x 4 = 64

Add those two together

140 + 64 = 204

Answer:

a

Step-by-step explanation:

In recent days, Rudy has worn a brown shirt on 5 days and shirts in other colors on 5 days. Considering this data, how many times would you expect Rudy to wear a brown shirt in the next 12 days?

Answers

Answer:

6

Step-by-step explanation:

5/10

1/2

then 6 trust me

Plls help
What is DE

Answers

Answer:

DE= 4.24

Step-by-step explanation:

A^2 + B^2 = C^2 Pythagorean theorem

(3)^2 + (3)^2 = C^2

9 + 9 = C^2

18 = C^2

√18 = √C^2

4.24264 = C

Compare each side of the equation 65 ÷ 5 = 87 ÷ 3 to determine if it is true or false.

Answers

[tex]65 \div 5 = 87 \div 3 \\ 15 = 29[/tex]

So, False

Answer:

The equation is false

Step-by-step explanation:

65 ÷5 = 13

87 ÷ 3 = 29

13 and 29 are not equal thus making the equation false.

Suppose the measure of <4 was 105º. Which
answer choice below represents is the measure of
<1?
A. 180°
B. 105°
C. 75°
D. 15°

Answers

Answer:

C

Step-by-step explanation:

Angle 1 and angle 4 sit on the same straight line which means

<1 + <4 = 180          

We are given that <4 = 105 degrees. So the equation above becomes.

<1 + 105 = 180                  Subtract 105 from both sides

<1 = 180 - 105

<1 = 75

How do I answer this?

Answers

Answer:

2k³ is the GCF.

Step-by-step explanation:

GCF of [tex]10k^{3} ,6k^{3}[/tex]

Finding the factors:

=10k³[Factoring 10k³]

=2×5×k×k×k

=6k³[Factoring 6k³]

=2×3×k×k×k

Common factors in 10k³ and 6k³.

=2×k³

=2k³

10k^3=2×5×k×k×k6k^3=2×3×k×k×k

GcF

[tex]\\ \tt\hookrightarrow 2(k)(k)(k)[/tex]

[tex]\\ \tt\hookrightarrow 2k^3[/tex]

Select the three equations that match the model.

Answers

9+?=14

?=14-9

9=14-?

all others do not work

The MRA volleyball team decides to raise some extra money for their trip by horganizing a cookie sale. The cost to make the cookies is $45 and the team is charging $0.25 a cookie. How many cookies must be sold to make a profit of at least $100? write an inequality.​

Answers

Answer:

Inequality:[tex]0.25x\geq 145[/tex]

Answer: At least 580 cookies

Step-by-step explanation:

Lets say they sell x cookies.

Now, that means they will make 0.25x as their income(the price multiplied by the number of cookies).

We know that totally they need to make 100+45 dollars, because that is what will give them a $100 profit. So they need to make $145

Now just set 0.25x equal to $145.

[tex]0.25x=145[/tex], and now solve

[tex]x=145*4[/tex]

[tex]x=580[/tex]

For an inequality, we could just say that:

[tex]0.25x\geq 145[/tex]

Stanley has $18 to spend on packs of trading cards that cost $1.50 each. The inequality 18≥1.5p represents the number of packs p he can buy. What is the greatest number of whole packs Stanley can buy?

Answers

Answer:

Numbers of packs p is 12

Step-by-step explanation:

Data :

  Money  = $18

 Price of a  card = $1.5

 Equation     :    18 ≥ 1.5p

Solve the equation  for p

       18/1.5  ≥  p

     12 ≥ p

Describe the direction in which each object will accelerate. If the object won’t accelerate, write “no acceleration.” Explain what might be happening to each object in terms of its overall motion. (Will give the right answer brainillesit)

Answers

Answer:

The object will have a positive acceleration of 100N and it will travel up.

Step-by-step explanation:

300N - 200N = 100N

Therefore, 300N has greater value making the air balloon travel upwards toward the sky.

PLEASE HELP ME TO UNDERSTAND​

Answers

Answer:

x > 0

Step-by-step explanation:

The denominator is positive for any value of x.

So we solve the numerator:

5ˣ - 1 > 05ˣ > 15ˣ > 5⁰x > 0

A B (2x + 53) 10. The figure shows a trapezium ABCD where AB // DC. Find the value of x and of y. D C x 5x² 2.237 A B 11. The figure shows a kite ABCD where AB = AD. RC - and the diagonals AC and BD intersect​

Answers

Answer:

x = 30

y = 114

Step-by-step explanation:

considering DC || AB the sum of angle <D and angle <A must be equal to 180 because they are supplementary:

5x + x = 180 add like terms

6x = 180 divide both sides by 6

x = 30

Same goes for angle <C and angle <B:

y + 2.2x = 180 we know the value of x is 30

y + 2.2*30 = 180

y + 66 = 180 subtract 66 from both sides

y = 114

Someone help me with this pls

Answers

Answer:

  x° = 55°

Step-by-step explanation:

An exterior angle is equal to the sum of the remote interior angles:

  x° = 21° +34°

  x° = 55°

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