What Is The Equation Of The Line That Is Perpendicular To The Line Y=3/4x - 6 And Passes Through The (2024)

Mathematics High School

Answers

Answer 1

Answer:

[tex]y=-\frac{4}{3}x+1[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals of each other (ex. -1/3 and 3, 1/2 and -2, etc.)

1) Determine the slope (m)

[tex]y=\frac{3}{4} x - 6[/tex]

Looking at the given equation, we can identify clearly that [tex]\frac{3}{4}[/tex] is in the place of m, making it the slope of the line. Because perpendicular lines always have slopes that are negative reciprocals, we know that the slope of the line we're solving for will be [tex]-\frac{4}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

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

2) Determine the y-intercept (b)

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

Plug in the given point (-3,5)

[tex]5=-\frac{4}{3}(-3)+b\\5=4+b[/tex]

Subtract 4 from both sides

[tex]5-4=4+b-4\\1=b[/tex]

Therefore, the y-intercept is 1. Plug this back into [tex]y=-\frac{4}{3}x+b[/tex]:

[tex]y=-\frac{4}{3}x+1[/tex]

I hope this helps!

Related Questions

GIVING BRAINIEST IF CORRECT!!

At Northside Middle School, 30 students were surveyed about their favorite type of music. If 2/5 of students surveyed prefer pop music, how many students do not prefer pop music?
A. 12 students
B. 15 students
C. 18 students
D. 25 students

Answers

2/5 of 30 is 12
So 30 - 12 = 18

Your answer is C. 18 students

Write an equation to express the amount of time in minutes, x, it would take to travel 1800 feet, if you are traveling 352 feet per minute.

Answers

Answer: 352(x)=1800

Step-by-step explanation:

HELP PLS!!!
Is a triangle with side lengths of 33 inches, 56
inches, and 65 inches a right triangle? Explain your
reasoning.
A. Not a right triangle because a² + b2 + c2
B. Not a right triangle because 33 + 56 + 65
C. Is a right triangle because a2 + b2 = c2
D. Is a right triangle because 33 + 56 = 65

Answers

C.Is a right triangle because a2+b2=c2

If you do 33^2+56^2=65^2

33^2=1089 56^2=3136. Add that together equals 4225 and if you do 65^2 it equals 4225 which would mean it is a right triangle

What is the LCM of 4 and 8

Answers

Answer:

8

Step-by-step explanation:

Let me make a table for you.

4,8,

8,

8 would be your answer.

Let me know if i can help you more!

HELP ME WITH THIS!! WILL GIVE BRAINLIST

Answers

6 x 7 + 9 x 7

Explanation:
Ok so if you separate that figure into two shapes, you will have 2 rectangle.

Its kinds too long to explain, but just know that to find the formula of a rectangle is length x width.

So, find the area of the rectangle on the left first:
The width of the rectangle on the left is 6
The length is 7
Multiply 6 x 7

Next, find the area of th rectangle on the right:
The length is 9
The width is 7
Multiply 9 x 7

Since this is originally one figure, we do this:
6 x 7 + 9 x 7

MARK BRAINLIEST
Com ment me if u have ang questions

Which angle measure is complementary to
29 degrees?

Gerardo says that a cube with edges that measure 10 centimeters has a volume that is twice as much as a cube with sides that measure 5 centimeters. Complete the explanation and correction for Gerardo's error. A cube with sides of 5 cm holds 5 layers of 25 cm cubes, which is cu cm. A cube with sides of 10 cm could hold 10 layers of 100 cm cubes, which is cu cm. Although 10 is twice as much as 5, a cube has ? , so each dimension is ? as great.

Answers

Answer:

A cube with sides of 5 cm holds 5 layers of 25 cm cubes.

A cube with sides of 10 cm could hold 10 layers of 100 cm cubes.

Step-by-step explanation:

For Cube a

Edge length = 10cm

Hence,

Volume = (side length)³

Volume = (10cm)³

= 1000cm³

For cube b

Side/Edge length = 5cm

Volume of cube = (5 cm)³

= 125 cm³

Gerardo statement is wrong.

Therefore, the correct explanation is given as:

A cube with sides of 5 cm holds 5 layers of 25 cm cubes.

A cube with sides of 10 cm could hold 10 layers of 100 cm cubes.

You want to wrap a gift shaped like the regular triangular prism shown. How many square inches of wrapping paper do you need to completely cover the​ prism?
In a triangular prism, the front and back faces are triangles and the other faces are rectangles. In the front face, the base has length 10 inches. A dashed line joins the top vertex to the bottom side. The dashed line makes a right angle with the bottom side and has length 8.7 inches. The rectangular face on the right has height 14 inches.

Answers

This would divide the x to 7 to get 86

flat family roof on goformative answer

Answers

Guatafak is that ...

What is the area of the pentagon shown below?
6 ft
1
6 ft 1
1
9 ft
3 ft

Answers

Answer:

61.94 ft²

Step-by-step explanation:

The domain (input values) of the sine function is:
O A. values between 0 and a radians,
O B. all real numbers.
O C. values less than 90%.
D. values less than 27 radians,

Answers

Answer:

The domain (input values) of the sine function is:

O B. all real numbers

The domain of the sine function will be all real number. Then the correct option is B.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

Simply put, trigonometric functions also referred to as cyclic capabilities the functions of a triangle's inclination.

Let the sine function be f(x) = sin x.

It is a function that repeats itself in a particular time interval.

The domain of the sine function will be all real number.

And the range of the sine function will be [1, –1].

Then the correct option is B.

The graph of the sine function is given below.

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ5

Fei Yen's dog eats 9 ounces of dog food each day. Fei Yen bought a 36-pound bag of dog food. How many 9-ounce servings are in a 36-pound bag of dog food? 1 Ib = 16 oz

Answers

4 servings
36 divided by 9
Hope this helped

I need help ASAP!!!! No links

Answers

Answer:

c

Step-by-step explanation:

Find the volume of the rectangular prism.

Answers

Answer:

5 x 3 1/2 x 1 1/2

5 x 7/2 x 3/2 = 26 1/4, in decimal form: 26.25

Multiply across, but first make it all improper fractions.

Find the measure of one of the interior angles of a
regular polygon with 8 sides.
A
1080°
B
157.5°
с
135°
D
202.5°
Help plss

Answers

It’s D. 202.5º, it makes more sense than the others I think I’m not sure I hope I’m right though

What does e-waste or electronic waste not include?

Answers

Answer:

microwave ovens

Step-by-step explanation:

Hopes this helps. Mark as brainlest plz!

neeeeeed helppp!!
[tex]\sqrt{10^1^0}[/tex]
Thanks!

Answers

Answer:

100000 is your answer

Step-by-step explanation:

Hope it helps...

Thanks for the points

Answer:

100000

Step-by-step explanation:

[tex]\sqrt{10^{10} }[/tex]

[tex]10^5[/tex]

[tex]100000[/tex]

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

Thanks, have a great day!!

can somebody PLEASE HELP ME??? trying to correct answers and i have no clue how to do this.

The area of a right triangle is 10,710 square inches. The height of the right triangle is 612 inches.

The length of the hypotenuse of the right triangle is ___ inches.

Answers

Answer:

613 inches

Step-by-step explanation:

Area right triangle = 10,710

Formula for area of a triangle = 1/2(base x height)

We need to find the base because height and area is given

Reverse divide by 2 by doing multiply by 2

10,710 x 2 = 21420

Revers multiply by 612 by dividing by 612

21420 / 612 = 35

Base = 35

Formula for hypotenuse = a² + b² = c²

In this case a = 35, b = 612, and c = hypotenuse

35² + 612² = c²

1225 + 374544 = c²

375769 = c²

Square root of 375769 = 613

Hypotenuse = 613

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

HELP
evaluate the function: f(x)=-x^2-x+3
f(-4)
show steps please

Answers

put -4 where the x is

so

-4^2-(-4)+3

16 + 4 + 3

23 is the answer

help me rq im stuck on this

Answers

lm pretty sure the answer is d

A number is divided by 6, and then the quotient is added to 29. The result is 41.

Answers

Answer:2

Step-by-step explanation:x/6+29=41

41-29=12

12/6=2

Can someone help with the math question only 1

Answers

Answer:

Step-by-step explanation:

The answer is C can you give brainliest?

Find the area. Please and thank you!!

Answers

2nd question : 43.5 ( formula : 1/2 by )
1rst question : 93 1/2 ( formula : base times height )

What is the quadratic regression equation that fits these data?​

Answers

Answer:A. -1.11x^2+ 3.74+ 10.64

Step-by-step explanation:

a. p. e. x. (just took the test)

Answer:

A

Step-by-step explanation:

I just got the question right on the test lol!!

If f(x) = x^2 is a function of variable x. The function is translated 5 units to the left and is reflected across the x-axis. What is the new function?

Answers

it would be -f (x^2 – 5) because being that it reflected across x-axis its turn into a negative and translated 5 units to the left thats a horizontal change so it is on the inside, H (IN) horizontal change goes inside the parentheses, V OUT vertical changes go outside the parentheses

You have a job interview that is 330 miles away. If your average driving speed is 55 miles per hour, how long will it take you to get there? Show your work. Check your answer.

Answers

Answer: 6 hours

Explanation: You divide 330 miles by 55 mph.

A telemarketer earns a 2% commission
on each sale. Find the commission
earned on sales of $1400.

Answers

Answer:

28$

Step-by-step explanation:

Answer the questions fast pls and no link

Answers

step bro

needs

help

what do you do?

The height of a square pyramid-shaped gift box is one half the length of
each side. The volume of the box is 4,500 in.3. How many inches high
is the box?
Will Mark brainliest

Answers

Answer:

15 inches

Step-by-step explanation:

Volume of a squre based pyramid :

V = a²(h/3)

a = base edge ; h = height

h =1/2 a

V = 4500

4500 = a² * (1/2a) ÷ 3

4500 = a² * a/2 * 1/3

4500 = a³/2 * 1/3

4500 = a³ / 6

27000 = a³

27000 = a³

Take the cube root of both sides

(27000)⅓ = a

30 = a

Recall:

h = 1/2a

h = 1/2(30)

h = 15 inches

PLEASE HURRY!!!!

Find the slope of the line.

Answers

Answer:

B!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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What Is The Equation Of The Line That Is Perpendicular To The Line Y=3/4x - 6 And Passes Through The (2024)

FAQs

What is the equation of the line that is perpendicular to y 3 4x 3 and passes through the point 3 2? ›

Final answer:

The equation of the line that is perpendicular to y = 3/4x - 3 and passes through the point (3, -2) is y = -4/3x + 2. This is determined by finding the negative reciprocal of the slope of the given line and then using the point-slope form with the given point to find the new line's equation.

What is the slope of a line perpendicular to y = 3, 4x + 6? ›

Expert-Verified Answer

The slope of the given line is 3/4. To find the slope of the perpendicular line, we take the negative reciprocal of 3/4. The negative reciprocal of 3/4 is -4/3. So, the slope of the line that is perpendicular to the given-line v = (3/4)x - 6 is -4/3.

How do you find the equation of a line which is perpendicular to a line? ›

Answer: For a given straight line ax + by + c = 0, and given point (u, v), the equation of a line perpendicular to the given line and passing through the point is bx - ay + bu - av = 0.

What line is perpendicular to y 3 4x 9? ›

The slope of the line y=3/4x +9 is 3/4. Therefore ALL lines with a slope of -4/3 are perpendicular to this line.

Which equation is perpendicular to y 3x 4? ›

The slope in y=3x+4 is 3 , so the line perpendicular to it will have a slope of −13 . We can write this in the form y=−13x+b and then plug in (3,5) for x and y to find the equation of the line perpendicular to the line y=3x+4 that goes through the point (3,5) . Therefore, the equation of our new line is: y=−13x+6 .

What line is perpendicular to y = 3 4x + 2? ›

Therefore, a line that would be perpendicular to this would have a slope that is the negative reciprocal of 3/4, which is -4/3. Therefore, the equation of the line perpendicular to y=3/4x-2 would typically be in the form of y=-4/3x + b, where b represents the y-intercept.

What is the perpendicular slope of y 3x 6? ›

The line defined by the equation y=3x-6 has a slope of 3. All lines perpendicular to it have a slope of -1/3 (the negative reciprocal of 3).

What is the slope of a line perpendicular to the line y 3x 4? ›

1 Expert Answer

The equation of a line is in the form y=mx+b form, where m is the slope and b is the y-intercept. Perpendicular lines have negative reciprocal slopes. The slope of the given line is 3. Therefore, the slope of the line that is perpendicular to the given line is -1/3.

What is the slope of a line that is perpendicular to 3x 4y 12? ›

Explanation: Product of the slopes of two lines perpendicular to each other is −1 . Let the slope of desired line be m . Hence slope of this line is −34 .

What is the equation for a line perpendicular to the slope? ›

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.

What is a perpendicular equation? ›

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

What is perpendicular example? ›

Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle. The symbol used to denote two perpendicular lines: ⊥ ⊥ .

How to find the equation of a line? ›

To find an equation of a line given the slope and a point.
  1. Identify the slope.
  2. Identify the point.
  3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) . y − y 1 = m ( x − x 1 ) .
  4. Write the equation in slope-intercept form.
May 6, 2020

Which equation is perpendicular to the Y axis? ›

Explanation: A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

What is the line perpendicular to y 4x 9? ›

So, the given equation can be rewritten as y = 4x - 9. Here the slope (m) is 4. A line that is perpendicular to another has a slope that is the negative reciprocal of the original line's slope. Therefore, the slope of a line perpendicular to this line would be -1/4.

What is the equation of the line passing through the point 2 3 4 and perpendicular to XZ plane? ›

Equation of line passing through (2,3,−4) & perpendicular to XZ plane is. x−21=z+41,y=3.

How do you find which equation represents a line which is perpendicular to the line? ›

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

Which equation models a line that is perpendicular to y =- 3 4x 1 and passes through the point 12 9? ›

Expert-Verified Answer

The equation of a line perpendicular to y = -3/4x+1, passing through the point (12, 9) is y = 4/3x - 7.

What is the y-intercept of the line perpendicular to the line y =- 3 4x 5 that includes the point (- 3 3? ›

Final answer: The y-intercept of the line perpendicular to y=-3/4x+5 that includes the point (-3,-3) is 1.

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