Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form P(−6, 3), y + 3x = −14

Answers

Answer 1
First of all, remember what the equation of a line is:

y = mx+b
Where:
m is the slope, and
b is the y-intercept

So if we rearrange the given formula y + 3x = -14

We get y = -3x -14, where -3 is slope and -14 is y intercept

Next, we know that Perpendicular lines have opposite-reciprocal slopes, (m1 * m2 = –1 ) so the slope of the line we want to find is:

m1 = -1/m2 = -1/-3 = 1/3

Thus, y = 1/3x + b

Now to find the y intercept we can plug in our points above.

3 = 1/3(-6) + b
3 = -2 + b
b = 3 + 2 = 5

Thus, equation of the line is: y = 1/3x + 5.

Related Questions

Identify the volume of the pyramid.
21 in.
8 in.
7 in.

Answers

the volume is 392
you multiply all 3 and divide them by 3

Select all of the choices that are equal to (-5) - (-12)
1.-7
2.7
3. The difference between -5 and -12.
4. The difference between -12 and -5.
5. (-5) + 12
6. (-5) + (-12)

Answers

Answer:

-5 - (-12) = 7

Step-by-step explanation:

2, 3 and 5 are all equal to 7 also

= -6
-2x + y
-x+3y
= -6

Answers

Answer: x = 2.4 or 12/5, y = -1.2

Step-by-step explanation:

-2x + y = -6

=> y = 2x - 6

-x + 3y = -6

=> -x + 3(2x - 6)  = -6

=> -x + 6x - 18 = -6

=> 5x = 12

=> x = 12/5 or 2.4

-x + 3y = -6

=> - (2.4) + 3y = -6

=> 3y = -6 + 2.4

=> 3y = -3.6

=> y = - 1.2

PLS HELP ALGEBRA 1 LINEAR FUNCTIONS QUESTION
(ONLY number 4 pls, it wouldn’t let me crop it)

Answers

Answer:

yes, its a linear function

Step-by-step explanation:

g= -2 1/2m+20

Yes it represents a linear function because the  equation takes the idea of y=mx+b.

g= represents gallons of water left

-2 1/2m= is the rate of the water draining, which is the slope, in the linear function.

x= represents the number of minutes

b= represents the start amount of gallons of water.

hope that helps!

x+(6+2x)=90 that's as far as i got....​

Answers

Answer:

x=28

Step-by-step explanation:

ASAP! Increase 1 by 1%

Answers

Answer:

1.01

Step-by-step explanation:

pls help
2 cm 2 cm (1.7 cm 3 cm 2 cm Find the surface area of the triangular prism. square centimeters​

Answers

Answer:

The answer is 21.4

Step-by-step explanation:

[tex]area = 3(2 \times 3) + 2 ( \frac{1}{2} \times 2 \times 1.7) \\ = 18 + 3.4 \\ = 21.4[/tex]

Answer:

surface area = 21.4 cm^2

Step-by-step explanation:

both ends = 2x1.7x0.5x2 = 3.4

3 sides = 2x3x3 = 18

18 + 3.4 = 21.4 cm^2

Help me pls pls pls

Answers

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

sgnagngfanarmjmwramfanagdhndh

the product of 9 and the difference of four and a number​

Answers

Answer:

9(4-n)

Step-by-step explanation:

Hope this helps

Tell me if I'm wrong

Mhanifa please help I need this done ASAP! I will mark brainliest. I don’t want people putting random answers! Thanks Mhanifa for all the help you give :) random answers will be reported y’all so you ain’t gonna get away with it!

Answers

Answer:

A. Obtuse isoscelesD. Right scalene

Step-by-step explanation:

Triangle 1

This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°

Correct option is

A. Obtuse isoscelesTriangle 2

This is right triangle and all sides have different lengths.

Correct option  is

D. right scalene

Hello!. I was wondering who could give me the answer to this question w an explanation If its not much to ask for, have a great nigth or have a great day.​

Answers

Answer:

1. (3x²y³z)²=9x⁴y⁶z²

2. (2m³n⁻⁴)³=8m⁹n⁻¹²

Step-by-step explanation:

Both questions require knowledge of two rules of indices/powers:

(xy)ᵃ=xᵃyᵃ (when numbers multiplied by each other are put to a power, that is equal to the product of each number to that power)

(xᵃ)ᵇ=xᵃᵇ (when a number to a power is put to another power, that is equal to the number to the power of the product of the powers)

1.

(3x²y³z)²

=(3²)(x²)²(y³)²(z²)

=(9)(x²⁽²⁾)(y³⁽²⁾)(z²)

=9x⁴y⁶z²

2.

(2m³n⁻⁴)³

=(2³)(m³)³(n⁻⁴)³

=(8)(m³⁽³⁾)(n⁻⁴⁽³⁾)

=8m⁹n⁻¹²

Hope this helps! :D

Solve the equation. n + 1.5 = 13.8

n =??? Can somebody also answer this

Answers

Answer:

n = 12.3

Step-by-step explanation:

No prob

Write an expression illustrating the total vertical distance the dolphin traveled from the spot it was first sighted, according to the observations. Simplify the expression to find the total vertical distance the dolphin traveled.

Answers

Answer:

hello your question lacks some information hence I will provide a more general answer

answer :

The expression is ;  D = a + ar

Step-by-step explanation:

An expression illustrating the total vertical distance travelled by a body from rest ( "spot it was first sighted" ) as quoted in the question. can be written as

D = a + ar

where D = Total vertical distance travelled

           a = start term ( initial height )

           r = common ratio

a map with a scale of 0.25 inches = 30 miles, the distance between two cities is 8.3 inches. Find the actual distance between the cities.

Answers

Step-by-step explanation:

the answer to your question is400 miles

Please help this is due today!!!!!

Given parallelogram FGHI determine the missing information

Don’t answer with one answer, blank or ridiculous answer please this is serious

Answers

x is 13, y is 8, and the perimeter is 42
13=x 8 = cm perimeter= 42

100,000,000,000,000,000,000,000,000,000, times the same number of shoes you have equals

Answers

Answer:

35000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

100,000,000,000,000,000,000,000,000,000 x 5 = 500,000,000,000,000,000,000,000,000,000?

Step-by-step explanation:

dont  understand...

Whoever responds first will get marked best!!!It took Laura 40 minutes to make 5 posters. Which represents the correct rate for this situation?

Answers

For rate you do the amount of mins dived by the number of posters so 40/5 so the answer is 8

In a basketball game, the winning team scores a total of 88 points, with a total of 40 2- and 3-point baskets. How many 2-point baskets does the team make? How many 3-point baskets does the team make?

Answers

What’s your question for me to do this

The figure is made up of a semicircle and a triangle, what’s the area of the figure?

Answers

Answer:

63.25 ft², use the formula then you can find the answer.

y = 2 - 3x
3 = y + 2x

Answers

Answer:

(-1,5)

Step-by-step explanation:

The answer is (-1,5)

How long should any sum of money be left on deposit at 4.5% APR if the value of the
deposit is to increase by 70%?

Answers

Answer:

It takes 12 years

Step-by-step explanation:

Amount(A) = P(1+r(^t

A ==> 170x/100 = x(1+0.045)^t

1.7 = (1.045)^t

Apply ln on both side

ln(1.7) = ln(1.045)^t

ln(1.7) = tln(1.045)

t = ln(1.045)/ln(1.7)

t = 0.53062825106/0.04401688541

t = 12.05510672

t = 12 years

The time it would take any deposit to increase by 70% is 12 years.

Determining the number of year

The formula that would be used to determine the amount of time needed for a deposit to increase by 70% is:

t = In (FV/PV)  / In(1 + r)

Where:

FV / PV = 1.7 r = interest rate t = time

t = In (1.7) / In(1.045)

t = 12 years

To learn more about future value, please check: https://brainly.com/question/18760477

please help! this assignment is so overdue

Answers

Answer:

Choices 3 & 5)reflect ABCD over X axis

                       Dilate ABCD by a scale factor of 2

Answer:

we can get the figure EFGH from the figure ABCD by the following these steps.

Step-by-step explanation:

1) to perform this it dilation, we just have to multiply the X & Y coordinates of the original shape by 2, like this ;

P (x, y)->P' (2x, 2y)

2) reflect

the new points over the x - axis

when we want to reflect a shape over the x - access we just have to invert the sign of the y - coordinate of its points, like this ;

P(x, y)-> P' (x, -y)

when we do this to the points that we got in the previous steps we get ;

A) '(0,0) ->E' (0,0)

B) '(0,4) -> F' (0,-4)

C) '(4,,2) -> C' (4,-2)

D) '(4,0) -> D' (4,0)

as you can see, the points that we got after these transactions correspond to the same points of the figure efgh know that the order in which you perform the transaction doesn't matter you could also have done the reflection and then the dilation.

the sequence of the transaction to get efgh from ABCD is ;

1) Diliate Abcd by a scale factor 2

2) reflect ABCD over the x - axis

PLEASE HELP!!!! SIMPLIFY, OR AT LEAST GIVE THE STEPS ON HOW TO DO IT PLEASE!!!!!!

Answers

Answer:

5.2414

Hope this helps you. Do mark me as brainlist.

5.444
Answer
This is right

Assume the probability is 1/2 that a child born at any time is a boy and births are independent. What is the probability of the event that if a family has 4 children, they are all boys? Please help!!!!!!!!! :(

Answers

There are only 23=823=8 possible ways to arrange the genders boy/girl, with repetition. Since the probability of boy and girl are equal, the probability of each of these arrangements are also equal. We can therefore count the number of possible "good" answers, and divide by 8.

There are 3 possible ways to have 1 boy, that being "first/second/third child is boy", so the probability of exactly 1 boy is indeed 3838.

Having at most 2 girls is the opposite of having three girls, so since there are only one way of having three girls, there must be 8−1=78−1=7 ways of having at most two girls, so the probability of at most two girls is indeed 78

Which angle number represents an angle adjacent to ∠PSL

Answers

Answer:

NSL

Step-by-step explanation:

The angle number which represents an angle adjacent to ∠PSL is interior ∠1.

What is a teansvarsal?

A transversal is a line that intersects two lines at two different points.

When a transversal intersects two lines at two different points two pairs of interior and exterior angles are formed.

If a transversal intersects two lines that are parallel to each other then the pair of corresponding and alternate angles are of the same measure.

We know adjacent angles share a common side.

In the given diagram ∠PSL is adjacent to ∠KRL because these two angles share a common side which is Line LM.

learn more about the transversal line here :

https://brainly.com/question/17432060

#SPJ2

What is the value of 3 n plus 1 when n=4

Answers

Answer:

13

Step-by-step explanation:

3n+1

putting n=4

3(4)+1

12+1

13

Solve for x. Round to the nearest hundredth if
necessary.
x
19
29°

Answers

Answer:

brainlist

Step-by-step explanation:

good can you make me brain list

Mrs. Jordan participates in a math contest. She completes each question in 1/2
a minute. How long does it take Mrs. Jordan to complete 12 questions?

Answers

it takes mrs. jordan 24 minutes to complete 12 questions.

if she completes each question in 1/2 a minute, then:

1/2 / 12 questions = 24 minutes.

How much was Ray’s paycheck for working 46 hours? Show your work.

Answers

Answer:46x

Step-by-step explanation:

46 is the amount of hours he worked x is how much he was paid per hour. multiply 46 and x

Answer:

7.50

Step-by-step explanation:

Write a numerical expression to match the written expression below: Twenty-three less than the sum of forty-nine and thirty-seven

Answers

Answer:

23 - (49 - 37)

Step-by-step explanation:

Other Questions
How do both self-interest and empathy influence behavior? What fraction of 40 is 25 How can you turn any expression in to a rational expression? 2 less than the quotient of 7 and 3 whats the expression? SOMEONE HELP ASAP!! WILL GIVE BRAINLEIST!! I need help does anyone know how to do this answer 4x + 2x = 3x - 15 One mole of any gas at 298 K and 1 atm occupies a volume of 22.4 L. Group of answer choicesTrueFalse what aspects of recent history made the french and germans accept this idea can people ask me random questions and give me a brainliest.Pls i would be so grateful just for a few brainliest What is the perimeter of STR. I will mark you brainliest please help thank you I'll give brainliest Please explain in words how you would graph each equation using the slope and the y-intercept. Y= 1/-3 Find the value of the variable and the measure of each labeled angle. Legalism is described asA: having consequences for any level of citizenB: having social harmonyC: following the eightfold pathD: darma, karma, mokshaE: having a balanced life OMG someone pls help!!!This is my grade in Pre-Algebra! Look at the box to the direct right of the totals at the bottom! What does this mean?! please write me a non- plagiarized valentine's day poem for brainliest ( it can be short, funny, serious, sad, just make sure its original) ) The radius of sphere measured repeated values 5.63 m, 5.54 m and 5.53 m. Determine the most probable value of radius. Sample Work: Writing an Argumentative Essay: Pre-Writing Heroes of the people Answer for points and brainlyest A solution at pH 11.5 is