Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).

Answers

Answer 1

Answer:  y = -(4/3)x + 1

Step-by-step explanation:

Let's start with finding an equation of a straight line (y=mx+b) that goes through points (-2,1) and (6,7).

The slope of a line, m, is the change in y for the change in x, or Rise/Run.

This is derived from the two points.

Rise (7-1) = 6

Run (6 - (-2)) = 8

Rise/Run = 6/8 or 3/4

The line is therefore y = (3/4)x + b

Find b by using one of the two points.  I'll use (-2,1), but the other would also work.

y = (3/4)x + b

1 = (3/4)(-2) + b

1 = -(6/4) + b

b = 10/4

The line becomes y = (3/4)x + 10/4

--------

A line perpendicular to this will have a slope that is the negative inverse of the original line.  The negative inverse of (3/4) is -(4/3).

The perpendicular line will be:

y = -(4/3)x + b

Use point (-6,9) to find b:

y = -(4/3)x + b

9 = -(4/3)*(-6) + b

9 = (24/3) + b

b = (27/3 - 24/3) = 3/3 = 1

The line is y = -(4/3)x + 1


Related Questions

20 POINTS!

A rectangle has perimeter 60. After the width of the rectangle is tripled and the length is increased
by 5, the perimeter is now 90. What were the dimensions of the original rectangle?

Use the information from this article to determine the approximate number of rentals and sales for
this movie. A “transaction” is either an online sale or a rental.

Please dont say cap, I am rlly struggling with this.

Answers

Answer:

Cat

Step-by-step explanation:

Cat

B is the midpoint of AC. if ac =10 and BC =x+1 find the value of x

Answers

Answer:

x=9

Step-by-step explanation:

x+1=10

*subtract 1 from both sides

x=9

help, I'm so confused rn​

Answers

Answer:

The answer is

→ [tex]-4 \frac{4}{35}[/tex]

Step-by-step explanation:

[tex]3\frac{2}{7} - 7\frac{6}{15}[/tex]

[tex]=\frac{23}{7} - 7\frac{6}{15}[/tex]

[tex]=\frac{23}{7} - 7\frac{2}{5}[/tex]

[tex]=\frac{23}{7} - 7\frac{37}{5}[/tex]

[tex]=\frac{-144}{35}[/tex]

[tex]=-4 \frac{4}{35}[/tex]

Therefore, [tex]-4 \frac{4}{35}[/tex] is your answer.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/16/2022 at 6:01 PM

(To avoid plagarism, by users whom decide to copy.)

6d+8=3d+1 solve for the value of d

Answers

Answer:

-7/3

Step-by-step explanation:

6d + 8 = 3d + 1 (subtract 3d from both sides)

3d + 8 = 1 (now subtract 8 from both sides)

3d = -7 (divide both sides by 3)

d = -7/3

Answer:

Step-by-step explanation:

6d+8=3d+1

3d+8=1

3d=-7

D=-7/3

HELPPP whats the 147th letter in this pattern abcd,abcd,abcd,abcd,abcd…
Explain and show your work

Answers

147 divided by 4 is 36.75, so you’d go past 36 patterns and then on .75 it’s 3/4 of the way through a full pattern thus it’d be the letter C.

Which circuit is a series circuit? A. B. C. D.

Answers

Answer:

Since you did not provide any other information, I did some research and might have found the original question/ answer choices. If this is the correct question, then your answer should be D.)

Answer : The correct series circuit  is, (D)

Explanation :

Parallel circuit : In this circuit, the potential across each of the components are same but the current flow in the circuit is equal to the sum of the current flow of each components.

That means in this circuit, the potential across the circuit is same but current is different.

where, 'I' is current.

Series circuit : In this circuit, the current flow each of the components are same but the potential across the circuit is equal to the sum of the potential of each components.

That means in this circuit, the current flow across the circuit is same but potential is different.

where, 'V' is potential.

From the given circuits, the circuit D is the series circuit. while the other circuits are parallel circuits.

Hence, the given circuit (D) is a type of series circuit.

MARK ME BRAINLIST

How can we tell that 4:1 and 12:3 are equivalent ratios?

Answers

Answer:

We can tell that 4:1 and 12:3 are equivalent ratios because if you simplify 12:3 you will get 4:1. You can also multiply 3 to both sides of 4:1 and you will get 12:3. You can also do this with other numbers.

Step-by-step explanation:

If you multiply 4:1 by 3, you will get 12:3 and if you divide 12:3 by 3, you will get 4:1

7 divided by 55 but every step must be shown, thank you

Answers

Step-by-step explanation:

how many positions after the decimal point ?

7 ÷ 55 = 0.12727...

7 remainder, we ran out of digits before the decimal point

70 (when there are no more digits, we simply pull 0s)

15 remainder

150

40 remainder

400

15 remainder

150

40 remainder

400

15 remainder

... (that loop now continues forever)

2(x-y)(x+y)+(x+y)^2+(x-y)^2

Answers

The is answer is (2x)^2
Hope it helps

this is like my 4th time posting this can someone plz help me

Answers

Answer:

35 degrees

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

180-120-25 = ?

? = 35

Answer:

35

Step-by-step explanation:

NEED HELP QUICK!! Skylar collects coins and stamps. She wants to organize her collections to display them together. She has 56 coins and 72 stamps,
and she wants the same number of each item in each display.

What is the greatest number of displays Skylar can make?

Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Add 72 and 56 and divide it by the biggest number until the answer is whole

Answer: 8

Step-by-step explanation:

Solve this problem with GCF (Greatest Common Factor).

Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

So, the biggest among the numbers that are matching is 8.

help brainliest will be given

Answers

The triangle ABC is going to be moved 2 units down and 3 units to the right so all the points A, Band C will have different coordinates.

The answer for all 3 is will not be the same

How do I answer that question

Answers

Man I have no clue breh

Answer:

9

Step-by-step explanation:

7³÷7⁷=9

it is correct right?

PLEASE HELP
The area of a square is 8km. Find its perimeter.

Answers

Answer:

[tex]area = 8k {m}^{2} \\ l = \sqrt{8} \\ = \sqrt{2 \times 4 } = \sqrt{2} \sqrt{4} \\ l = 2 \sqrt{2} km \\ perimeter = 4 \times l \\ = 4 \times 2 \sqrt{2} \\ = 8 \sqrt{2} km[/tex]

Can anyone help me find the value of x.
I need the method too..
Please.

Answers

Hello NiX010101!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Solve : [tex]\frac{ 3x-2 }{ 4 } - \frac{ 2x+3 }{ 3 } = \frac{ 2 }{ 3 } -x\\[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]\frac{ 3x-2 }{ 4 } - \frac{ 2x+3 }{ 3 } = \frac{ 2 }{ 3 } -x \\ [/tex]

Multiply both the sides by the LCM of 4, 3 which is 12. After some simplification you'll get it as ..

[tex]3\left(3x-2\right)-4\left(2x+3\right)=8-12x [/tex]

Now, use the distributive property to open the brackets.

[tex]3\left(3x-2\right)-4\left(2x+3\right)=8-12x \\ 9x - 6 - 8x - 12 = 8 - 12x[/tex]

Now, bring the like terms together & simplify it.

[tex]9x - 6 - 8x - 12 = 8 - 12x \\ 9x - 8x - 6 - 12 = 8 - 12x \\ x - 18 = 8 - 12x \\ x + 12x = 8 + 18 \\ 13x = 26 \\ x = \frac{26}{13} \\ \large \boxed{\boxed{ \bf x = 2}}[/tex]

We got the value of x as 2.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Someone help please thank you

Answers

Answer:

The answer is C which is -3

Step-by-step explanation:

in a class of 25 students 15 of them have a cat 16 have a dog and 3 of them have neither find the probability that a student at random has a cat and a dog

Answers

Answer:

Step-by-step explanation:

7 students have cats only

6 students have dogs only

9 students have dogs and cats

3 students don't have cats or dogs

+ -----------------------------------------------------

25 students in total

what is the quotion of 5/6 divided by 5/24

Answers

Step-by-step explanation:

remember, dividing one fraction by a second is the same as multiplying the first one with the inverse fraction of the second.

5/6 ÷ 5/24 = 5/6 × 24/5 = 24×5 / 6×5 = 24/6 = 4

The table shows the times of the top six swimmers in the women's 100 meter butterfly at the 2021 Olympic Games.

Answers

Answer:

with 6 rows. Column 1 is labeled Place with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Time (seconds) with entries 55.98, 56.87, 56.94, 57.17, 57.27, 57.35. Between which two places is the difference in finishing times the shortest? What is the difference in those times?  

Step-by-step explanation:

What is the equation of the line through (7, -1) with slope -3?

Select one:

a.
y = 3x - 22


b.
y = -3x - 20


c.
y = -3x + 20


d.
y = -3x + 22

Answers

Answer:

y = -3x + 20

Step-by-step explanation:

Slope: - 3

b = -1 - (-3)(7) = -1 + 21 = 20

[tex]\sf 700+1000+80[/tex]

Answers

1,780 is the correct answer

Answer:

1780

Step-by-step explanation:

700 + 1000 = 1700

1700 + 80 = 1780

sa’mya built a rectangular flower garden the gardes is 10 feet long and 8 feet wide what is the area of sa’ma’s flower garden area=length x width

Answers

Answer:

Area of Rectangle = Width × Length

10 × 8 = 80

Step-by-step explanation:

give brainliest

Given h(x) = 4x + 5 solve for when h(x) = 9 .

Answers

Answer:

3x = 5

Step-by-step explanation:

9x = 4x + 5

-4x -4x

3x = 5

Answer:

h(x) = 4x + 5       h(x) = 9

9 = 4x + 5        9 - 5 = 4  and 5 - 5 = 0

4 = 4x          4 divided by 4 equals 1

Answer is x = 1.

--------------------------------------------------------

Check your answer:

9 = 4x + 5

Input the 1 into the variable x's place in the equation.

9 = 4 X 1 + 5

And now solve.

4 X 1 + 5 = 9

So, now we know that our answer is fully correct.

Step-by-step explanation:

Hope this helps. If there are any questions please ask them below in the comments. If there are no questions please have a great rest of your day/night!

Find the value of x.

Answers

Add all three angles and set them equal to 180.

180 = x + (x - 28) + (x + 28)

180 = 3x

x = 60

What is the one piece treasure?

Answers

Answer:

Step-by-step explanation:

One Piece is the name the world gave to the treasure found by the Pirate King Gol D. Roger. It is a mysterious treasure that once belonged to Joy Boy during the Void Century. The treasure is said to be of unimaginable value, and is currently located on the final island of the Grand Line: Laugh Tale.

Help!! I’ll mark brainly list but explain

Answers

Answer:

See below, please.

Step-by-step explanation:

[tex] \frac{ {(4a - 3b)}^{3} }{c + 5} \\ \ \\ = \frac{ {(4 \times ( - 2) - 3 \times ( - 3))}^{3} }{3 + 5} \\ = \frac{ {(( - 8) - ( - 9))}^{3} }{8} \\ = \frac{ {( - 8 + 9)}^{3} }{8} \\ = \frac{ {1}^{3} }{8} \\ = \frac{1}{8} [/tex]

Someone help please quickly
3(x-2)/4 + 3(x-3)/8 = 1/2
● 1/9
● 9
● 1/3
The / are the fraction lines not divide​

Answers

9514 1404 393

Answer:

  x = 25/9

Step-by-step explanation:

  3(x-2)/4 + 3(x-3)/8 = 1/2 . . . . given

  6(x -2) +3(x -3) = 4 . . . . . . . . multiply by 8

  6x -12 +3x -9 = 4 . . . . . . . . . eliminate parentheses

  9x -21 = 4 . . . . . . . . . . . . . . . collect terms

  9x = 25 . . . . . . . . . . . . . . . .  add 21

  x = 25/9 . . . . . . . . . . . . . .  divide by 9

Answer:

I got =

[tex]2 \ \frac{7}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3(x - 2)}{4} + \frac{3(x - 3)}{8} = \frac{1}{2} [/tex]

[tex]6x - 12 + 3x - 9 = 4 \\ 9x - 21 = 4 \\ 9x = 25 \\ x = \frac{25}{9} = 2 \ \frac{7}{9} [/tex]

y>-4 help PLZ......!?!?!?!?!?

Answers

Answer:

0

Step-by-step explanation:

find three consecutive integers whose sum of the first and the third is -88

Answers

Answer:

Step-by-step explanation:

{-43; -44; -45}

-43+(-45)=-88

Zach bought 8 pieces of bubble gum that were $0.20 each. He used a number line to find the total cost. Choose the numbers to complete the sentences.

Answers

Answer:

He moved 7 hash marks and the product is $1.60

Step-by-step explanation:

It’s says he starts at 0.2 on the number line, so that’s the second hash mark after the 0. If you move to the right on each hash all the way til the 2, you moved 7 times.

The product of 8 x .20 = 1.60

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