how to find the equation of a line that is parallel and passes through a point

Answers

Answer 1

Answer:

Step-by-step explanation:

Parallel line have the same slope.  Put the reference line is y=mx+b format.  m will be the slope.  A parallel line must have the same m.  Example:

y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0).  Any line witrh the same slope will be parallel.  So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap.  Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:

y=2x+b

14=2*3+b

14=6+b

b=8

The parallel line to y=2x+5 is y=2x+8:  It is parallel and goes through the point (3,14).

How To Find The Equation Of A Line That Is Parallel And Passes Through A Point

Related Questions

Is (10^-2)3 = (10^-3)2 the same?​

Answers

Answer:

i think it is same let me know

The window below has an area of 64 inches squared. What is the length of each side?

Answers

Answer:

The answer would be 8.

Step-by-step explanation:

C. Directions: Copy and answer. Write in the circle the final sum of
the given number.
1.
98
2.
40
3.
123
-13
47
150
70
1180
-59
321
1-300
다.
1
5.
1326
6.
109
66
11-51
39
139
7
7433
88
77​

Answers

Answer:

98

Step-by-step explanation:

11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
solution to the equation ?

Answers

Answer:

the student that is correct is Gene and the solution is x=10

The equation that is correctly modelled is 2 = -8 - x.

GENE equation is correct.

We have,

From the model below,

The right-hand side:

This can be written as,

1 + 1 = 2 ______(1)

And,

The left-hand side:

This can be written as,

-x + 8 x (-1)

-x - 8

or

-8 - x ______(2)

Now,

From (1) and (2),

2 = -8 - x

Thus,

The equation that is correctly modelled is 2 = -8 - x.

GENE equation is correct.

Learn more about equations here:

https://brainly.com/question/17194269

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Write the equation of the line that passes through the points (−3,9) and (1,−6).

Answers

Answer:

y=-3.75x-2.25

Step-by-step explanation:

Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1

(-6)-(9)/(1)-(-3) = -15/4 = -3.75

Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b

9=-3.75*(-3)+b

9=11.25+b

b=9-11.25

b=-2.25

Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b

y=-3.75x-2.25

Step 4: Plug your X values into the formula, you should get your Y values after solving

y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)

y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)

Write 3/6/7 in an improper fraction in the lowest term

Answers

Answer:

27/7

the mixed number 3 6/7 can be written as 27/7.

The value of an improper fraction in the lowest term is,

⇒ 27/7

We have to give that,

A mixed fraction is,

⇒ 3 6/7

Now, We can change the fraction into an improper fraction as,

⇒ 3 6/7

⇒ (3×7 + 6)/7

⇒ (21 + 6)/7

⇒ 27/7

Therefore, an improper fraction in the lowest term is,

⇒ 27/7

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Ms. Brown spent $5.25 on groceries and 75¢ on candies. What is the ratio of: a) cost of groceries to cost of candies b) cost of candies to total cost

Answers

Answer:

A.) 7:1 (which is 5.25 : 0.75 simplified)

B.) 0.75 : 6

Step-by-step explanation:

Write the decimal as a fraction in simplist form -0.096

Answers

Answer:

Step-by-step explanation:

-0.096 is -0.096 thousandths, or -96/1000

That can be reduced by removing 8:

-[(8)*(12)]/[(8)*(125)] = -12/135

-12/125 = -0.096

Find the missing angle measure.

Answers

Answer:

83

Step-by-step explanation:

Which fraction and decimal forms match the long division problem? 9) 8.000 7 21 80 72 80 72 8 8 A. and 0.8 9 B. 8 and 0.8 O 9 C. and 0.888 8 9 D. and 0.8 8 SUBMIT​

Answers

Step-by-step explanation:

the answer is B.

yes it is

6.
Find the area of a rectangle with
length 2x - 7 and width 3x +4.

Answers

Answer:

[tex]A=6x^{2} -13x-28[/tex]

Step-by-step explanation:

A=L(W)

A=2x-7(3x+4)

Use distributive property

[tex]A=6x^{2} +8x-21x-28[/tex]

Combine like terms

[tex]A=6x^{2} -13x-28[/tex]

A= 6x-13x-28
There u go!!

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.

Answers

Answer:

Expression for the number of tiles Bruce used: 5x+2

Expression for the number of tiles Felicia used: 5x+5

Step-by-step explanation:

First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.

For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).

To represent those last two tiles we can simply add +2.

Now putting it all together we get 5x+2

5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.

For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.

Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).

Because those were individual tiles they are simply 5.

Putting the whole thing together we get 5x+5

What is the circumference of this circle?



A.
4
1


B.
20
1


C.
2
1


D.
None of the above
E.

Answers

Answer:

It is 2 π r

Step-by-step explanation:

Hope this helps you!!!1

Select the final coefficient (factor) and radicand after simplifying
372 +39–162 - 372

A) -9
B) 5
C) 16
D)-8
E)-4
F)6


Answers

it's C 16

hope it helps

#carry on learning!
-123…………………………………..…

Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1
Please solve this problem because tomorrow is my...​

Answers

Explanation:

On taking LHS

Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]

We know that

π = 180°

2π = 2×180° = 360°

3π/2 = (3×180°)/2 = 540°/2 = 270°

Now

LHS becomes

Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]

We know that

Cos (270°+θ) = Sin θ

Cos (360°+θ) = Cos θ

Cot (270°-θ) = Tan θ

Cot (360°+θ) = Cot θ

→ Sin θ Cos θ [Tan θ + Cot θ]

→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]

→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]

→ Sin θ Cos θ [1/(Sin θ Cos θ)]

Since Sin²θ+Cos²θ = 1

→ (Sin θ Cos θ)/(Sin θ Cos θ)

→ 1

→ RHS

→ LHS = RHS

Hence, Proved.

Here are the formulae that I have used:

→ π = 180°

→ Cos (270°+θ) = Sin θ

→ Cos (360°+θ) = Cos θ

→ Cot (270°-θ) = Tan θ

→ Cot (360°+θ) = Cot θ

Here are the Trigonometric Identities that I have used:

→ Sin²θ+Cos²θ = 1

Hope this helps!!

Solve 4(x−5)=6x. You must SHOW EACH STEP for full credit.

Answers

Answer:

x = − 10

Step-by-step explanation:

Let's solve your equation step-by-step.

4 ( x − 5 ) = 6x

Step 1: Simplify both sides of the equation.

4 ( x − 5 ) = 6x

( 4 ) ( x ) + ( 4 ) ( − 5 ) = 6x ( Distribute )

4x + − 20 = 6x

4x − 20 = 6x

Step 2: Subtract 6x from both sides.

4x − 20 − 6x = 6x − 6x

− 2x − 20 = 0

Step 3: Add 20 to both sides.

− 2x − 20 + 20 = 0 + 20 − 2x = 20

Step 4: Divide both sides by -2.

− 2x / − 2 = 20 / − 2

x = − 10

proportional escape room puzzle two

Answers

Answer:

Step-by-step explanation:

Is there a question to it?

What is 500 miles decreased by 20%?

Answers

Answer:

400

Step-by-step explanation:

Percentage decrease = 20% × 500

New value = 500 - Percentage decrease

500 - (20% × 500) =

500 - 20% × 500 =

(1 - 20%) × 500 =

(100% - 20%) × 500 =

80% × 500 =

80 ÷ 100 × 500 =

80 × 500 ÷ 100 =

40,000 ÷ 100 =

400

What is 10/13 in a decimal rounded to the nearest 100

Answers

Answer:

0.77

Step-by-step explanation:

10/13 as a decimal is 0.769230

0.769230 to the nearest 100 is 0.77

Hope this helps :D

y=2x+4 how would i graph that

Answers

Answer:

Start at 4, up 2, right 1

Step-by-step explanation:

Using Y=mx+b

B: begin

M: movement

Start at 4, then move up 2 and right one (because 2 = [tex]\frac{2}{1}[/tex])

Hope this helps! :)

*You can also use Desmos*

Since y= 4, put a point on (0,4), then go 2 up and 1 right. The next point is (1,6), and the one after is (2,8)

please actually help me

Answers

Answer:

A.) 6:51

B.)The train at 6:42

C.)34 minutes

What are the y and x-intercept in f(x)=50-2x?

Answers

Answer:

Step-by-step explanation:

What is the GCF of 14 and 16?

Answers

2.

it’s the highest number you can divide both of those by

2.4.6.8.10.12.14.16

Help me pls i would really appreciate it

Answers

(4,-33) and (-1,14) are the answers!
Answer: (-1, 14) and (-8, 75)

Plug in the numbers and see if it’s true. We know that the x intercept is in the front and the y intercept is in the back.

(x,y)

So with the first choice the x = -1; y = 14

14 > -10(-1) -1

14 > 9

So this is an answer

Do the same with every choice and see what works

Hope this helps :)


what is dividing fractions

Answers

Answer:

The simplest way I can describe dividing fractions is like multiplying fractions but upside down.

Example:

1/2 ÷ 1/3

To do this, the easiest way is to "flip" the second fraction.

It then becomes:

1/2 × 3/1

Then you just multiply across and you get a product of 3/2 or 1 1/2

which two ratios represent quantities that are proportional?

A. 3/5 and 13/10
B. 18/48 and 21/56
C. 20/28 and 15/18
D. 7/10 and 10/7

Answers

Answer:

B. 18/48 and 21/56

C. 20/28 and 15/18

Step-by-step explanation:

Simplifying 18/48 = 3/8

Simplifying 21/56 = 3/8

Simplifying 20/ 28= 5/7

Simplifying 15/18 = 5/7

Answer:

18/48 and 21/56

Step-by-step explanation:

plato

help angels this geometry is a pain in the 4$$

Answers

Answer:

1. 4.5

2. The scale factor is 3/4

Step-by-step explanation:

how do I do this please help

Answers

Answer:

i do not know what it all says

Step-by-step explanation:

10 ft 8 ft 6 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate n. A = [ ? ] ft? ​

Answers

Answer:

l×b×h-this is the order

10×8

=80 --area 1:maximum

10×6= 60--area2: minimum area

8×6=48--area3:middle area

if you follow the order

the answer is= 60ft

Someone pls help me I will make you brain

Answers

The answer is the 2nd choice, number of sales.

The function described f(x) = B + Cx
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