What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?

Answers

Answer 1

Answer:

Step-by-step explanation:

y = -x + 9

y - 1 = -(x - 5)

y - 1 = -x + 5

y = -x + 6

Answer 2

The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

Here,

The point is given as ( 5, 1 ).

The equation of line is parallel to the line x + y = 9.

What is Equation of line?

The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]

where, m is slope of line and ( x₁ , y₁) is point.

Now,

The equation of line is parallel to the line x + y = 9.

Hence, both line have same slope.

The slope of line x + y = 9 is given as,

⇒ y = -x + 9

compare with equation of line y = mx + c , we have;

Slope = -1

The equation of the line passes through the point ( 5, 1 ) and slope -1 is;

y - 1 = -1 ( x - 5)

y - 1 = -x + 5

   y = -x + 6

Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.

Learn more about the Equation of line visit:

https://brainly.in/question/17740820

#SPJ2


Related Questions

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

0 is 14, 1 is 12.25, 2 is 10.50, and 3 is 8.75

The value of a comic book in the dollars has been found to be 0.20y + 1.50, where y is tye number of years since it was released. for the question there is increasing per year for the comic and the initial value​

Answers

The increase rate per year is 0.

What is calculus?

Calculus is a branch οf mathematics that deals with the study οf rates οf change and hοw things change οver time. It has twο main branches, differential calculus which studies instantaneοus rates οf change, and integral calculus which deals with accumulatiοn and area.

here given equatiοn fοr the value οf the cοmic bοοk is:

V(y) = 0.20y + 1.50

where y is the number οf years since it was released.

Tο find the rate οf increase per year fοr the value οf the cοmic bοοk, we can take the derivative οf V(y) with respect tο y:

dV/dy = 0.20

This means that the value οf the cοmic bοοk increases by 0.20 dοllars per year.

Tο find the rate οf increase per year fοr the initial value οf the cοmic bοοk, we need tο lοοk at the y-intercept οf the equatiοn fοr V(y). The y-intercept is the value οf V when y is 0, which is:

V(0) = 0.20(0) + 1.50 = 1.50

Therefοre, the initial value οf the cοmic bοοk is $1.50.

Tο find the rate οf increase per year fοr the initial value, we can calculate the derivative οf the initial value with respect tο y, which is:

d/dy (1.50) = 0

This means that the initial value οf the cοmic bοοk dοes nοt change with respect tο time, sο its rate οf increase per year is 0.

To learn more about calculus, from the given link.

https://brainly.com/question/6581270

#SPJ1

1. Armando started a new job as a mechanical engineer for a coal plant with an
annual salary of Php 200 000.00 in 2010. If she receives a Php 24 000.00 raise
each year, how much will her annual salary be in 2020?​

Answers

Answer:

224,000

Step-by-step explanation:

annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer

What is –96 ÷ +3? im a little confused when it comes to math

Answers

It’s -32
You’d do 96 divided by 3 with long division and put - in front of the answer

Define constant of proportionality.

Answers

Answer:

Step-by-step explanation:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX. The constant of proportionality is, the value of Y is dependent on how the given value of X is effected by the constant of proportionality.

is the function y= sin(x)/x even, odd or neither

Answers

the function is odd

The function y = sin(x) / x is an even function.

What is an even function?

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

The function is given as,

y = sin(x) / x

Put x = -x, then we have

y = sin(-x) / (-x)

y = -sin(x) / (-x)

y = sin(x) / x

The function y = sin(x) / x is an even function.

More about the even function link is given below.

https://brainly.com/question/3975387

#SPJ2

Caroline walks 912 inches per second. As unit rate

Answers

Answer:

specify please

Step-by-step explanation:

Answer:

I have been trying to get this answer for the longest

Step-by-step explanation:

         

What is the slope of the line that passes through the points (5.3) and (-4,-1)

Answers

Answer:

y = 4/9x + 1

Step-by-step explanation:

Raquel can type 63 words every minute. Rick can type 73 words every minute. How many more words can Rick type than Raquel in 135 minutes?
Group of answer choices

Answers

Answer:

1350 words

Step-by-step explanation:

8505 is the amount of words raguel can type in 135 minutes. 9855 is the amount Rick can type in 135 min. 9855-8505=1350 which is the answer

A student calculated the density of copper to be
8.37 g/cm3. The accepted value for the density of
copper is 8.92 g/cm3. What is the percent error in the
density?

Answers

Answer:

0.55/8.92×100

55/8.92

=6.17%

Identify the domain of the relation (-5, 10), (-2, 11), (1, 4), (5, 10) *

Answers

Answer:

-5,-2,1,and 5

Step-by-step explanation:

Solve the inequality:


4x−2≤6

Select one:

x≥1

x≤2

x≥2

x≤1

Answers

Answer:

x≤2

Step-by-step explanation:

To do this, first add over the 2. That makes 4x≤8. Then divide by 4. That make x≤2

Answer:

x≤2

Step-by-step explanation:

4x-2≤6 add to 2 to both sides

4x≤8 divide both sides by four

x≤2

Hope this helps! :)

Graph the line with slope of 53
5/3 and goes through the point (2,1).

Answers

Answer:

We kindly invite you to see the image attached for further details.

Step-by-step explanation:

From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:

[tex]y =m\cdot x +b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):

[tex]b = y-m\cdot x[/tex]

If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:

[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]

[tex]b = -\frac{7}{3}[/tex]

Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].

Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.

Which describes the slope of the given line?

Answers

Answer:

Negative

Step-by-step explanation:

because it's going down towards the right.

Ryan says that the sum of any two numbers is rational. Which of the following is a counterexample?
O 2 + 2 = 4
O 10 + 0.998987... = 10.998987...
0 +=1
5 +2.7 7.7

Answers

Answer: 10 + 0.998987... = 10.998987

Step-by-step explanation:

I just took the test today and this was the answer.

Points A, B, and C are collinear. Point B is between A and C. Solve for x
AB= 3x, BC= 2x - 2 , and AC= 18. Find x.

Answers

Answer:

x=4

Step-by-step explanation:

You set the equation up like this

3x+2x-2=18

5x-2=18

5x=20

x=4

Please help me find

Answers

Answer:

150 feet

Step-by-step explanation:

the ratio of her shadow to her height

2/5=60/150

60/150=2/5

i hope it is right

Answer:

The answer is C) 150 feet

Is rigth

Step-by-step explanation:

2/5=60/150

2/5= 0.4

60/150=0.4

Please help the picture is above. I’ll mark as brainliest.

Answers

Answer:

s= 2000n + 55000

comparing with y= mx +c

The slope of given line is 2000 which represents that  the salary of camden increases at the rate of 2000 per year .

Step-by-step explanation:

D 145
which expression is equivalent to 5(4x + 3) - 2?
А
187 + 15
B
187 + 3
C 7x + 8
D 2r + 8

Answers

Answer:

C

Step-by-step explanation:

No option is equal to the expresion, but.C is similar.

Identify the set of numbers that best describes the situation. Explain your choice.
The weight of a person in pounds.
129.3lb
please help will give brainiest

Answers

Answer:

Step-by-step explanation:

it's a rational number because it can't be a whole number with the decimal point and it can't be an integer because it's not a negative or positive number it also can't be an irrational number because an irrational number isn't a terminating or repeating decimal its a rational number because it's a terminating number

convert 4 5/6 into a decimal

Answers

Answer:

4.8333

Step-by-step explanation:

It is a repeating decimal. Hope it helps

The decimal form of the given fraction is 4.8333

What is decimal form?

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

Given that, convert 4 5/6 into a decimal,

The given mixed fraction is =

4 5/6

Converting into fraction,

29 / 6

Dividing 29 by 6, we get,

29 / 6 = 4.833

Hence, the decimal form of the given fraction is 4.8333

Learn more about decimal forms, click;

https://brainly.com/question/16361602

#SPJ5

what is the inverse of f(x)? show the work
f(x)+3x+5

Answers

Answer:

[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]

Step-by-step explanation:

To solve for the inverse, we need to switch the variables and solve for y.

Note that f(x) is the same as y or in other words, the output.

f(x) = 3x + 5

y = 3x + 5

~Switch variables

x = 3y + 5

~Subtract 5 to both sides

x - 5 = 3y

~Divide 3 to everything

1/3x - 5/3 = y

~Flip

y = 1/3x - 5/3

Best of Luck!

For each expression, x = 9 and y = 3.

2x · 4y - 10

a. 12
b. 10
c. 20
d. 6

Answers

Answer

the answer is C. 20 :)

Step-by-step explanation:

hope it helps!

Write a line that is parallel to y = -3x -4​

Answers

Answer:

A parallel line to "y = -3x -4"

Is

"y = -3x"

Step-by-step explanation:

A certain middle school opens at 7 A.M., and classes begin at 8 A.M. A sociologist gathered data on the number of minutes after 7 A.M. that a student arrives at school and the number of friends the student has on social media. The correlation between the two variables indicated a strong negative relationship. Which of the following is an appropriate interpretation of the correlation?

Answers

Answer:

As the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

Step-by-step explanation:

Correlation does not imply causation. Also, the negative relationship indicates that as the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

I don't get this Please help asap!?

Answers

Answer:

Step-by-step explanation:

I think it’s 6

Answer:

it's 6 inches

Step-by-step explanation:

I measured it

eleven times onennumber is 9 more than 8 times another number. the first number minus four is half the second number. find the numbers

Answers

Answer:

I'm pretty sure its 11 and 14

Step-by-step explanation:

Sorry if i'm wrong or can't help more.

Please help! Will give brailiest!

Answers

B is the answer becuase the slope is -1/4 and the b is +3
The answer is D. Below I have attached my work. Hope this helps!!

Jackson was solving the problem below for k. However, he made a mistake.

19 - 2k = 3k - 1

+3k +3k

19 +1k = -1

-19 -19

k = -20



Part A: Identify the FIRST mistake Jackson made.

Part B: Solve for k.

Answers

Part A: Jackson added 3k instead of subtracting it from both sides.

Part B: 19 - 2k = 3k - 1
Subtract 3k from both sides
19 - 5k = - 1
Subtract 19 from both sides
- 5k = -20
Divide by -5 on both sides
K=4

Why is brainliest so important and why is leveling up so important

Answers

Answer:

Its is so u get points make me he brainlst thx

Step-by-step explanation:

Other Questions
would you kindly assist me The basic unit of structure and function of living things is the? Please help ASAP!! Will give brainliest if correct!!Given that SR QT and SQ ST, find the perimeter of QST. A. 22B. 27C. 30D. 32 A train travels 170 miles in 4 hours . How far will the train travel in 6 hours , if it travels at the same speed ? Answer Choices : (A) 240 mi , (B) 245 mi , (C ) 252 mi , (D) 255 . The two-way table below describes the car rental habits of sales representatives attending a conference.What percentage of representatives staying at least two nights rented a car?20% 44%55%79% help show workassig 8 Why do you think the United States Senators rejected the Treaty of Versailles (the U.S. never did sign that treaty)? In your opinion were they right or wrong to reject the treaty? Commas and Subordinating ConjunctionsWhich sentences require commas?DIRECTIONS: Identify the SUBORDINATING CONJUNCTION in each sentence and addcommas if they are necessary.1. While he was taking a shower Jimi Hendrix had a brilliant idea.2. After she tried on twelve shirts Ginny Weasley decided to buy only two.3. Marvin Gaye mows lawns if his neighbors agree to pay him cookies4. Moaning Myrtle looked through her Instagram feed while she was sitting in the dentist's waiting room5. Since we don't have enough people to play charades Jar Jar Binks suggested we watch a movie instead6. Dr. Phil loves Halloween because he enjoys scaring people.7. If Lucius Malfoy doesn't get here soon we will have to leave for the zoo without him8. Harper Lee should buy a winter coat since it is starting to get cold.9. I didnt invite Matthew Perry to my birthday party because he will be out of town next weekend.10. Freddie Mercury and I are going to play video games after we finish our homework. Kaitlin runs 6 miles in 50 minutes at the same rate how many miles would she run in 35 minutes Maximize B=XY^2 , where x and y are positive numbers such that X+Y^2=5. Helen walked 4 blocks north of her house. Then she walked 3 blocks south. Which statement is true? A. The sum 4 + (3) = 1 means that Helen is 1blocks south of her house. B. The sum 4 + (3) = 1 means that Helen is 1blocks north of her house. C. The sum 4 + 3 = 7 means that Helen is 7blocks south of her house. D. The sum 4 + 3 = 7 means that Helen is 7blocks north of her house. how do i solve equations with fractions in them? (Bond valuation) You are examining three bonds with a par value of $1 comma 000 (you receive $1 comma 000 at maturity) and are concerned with what would happen to their market value if interest rates (or the market discount rate) changed. The three bonds are Bond Along dasha bond with 5 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. Bond Blong dasha bond with 10 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. Bond Clong dasha bond with 15 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. What would be the value of these bonds if the market discount rate were a. 8 percent per year compounded semiannually? b. 5 percent per year compounded semiannually? c. 15 percent per year compounded semiannually? d. What observations can you make about these Consider a wire of length L =0.30 m that runs north-south on a horizontal surface. There is a current I = 0.50 A flowing north in tie wire. The Earth's magnetic field at this location has a magnitude of 0.50 gauss (or, in SI units. 0.5 x 10^4 and points north and 38 degrees down from the horizontal, toward the ground. What is the size of the magnetic force on the wire due to the Earth's magnetic field? Task C has two immediate predecessors, Tasks A and B. Task C also has two immediate followers, Tasks D and E. Task A has an early finish time of 3 days, and Task B has an early finish time of 5 days. Task D has a late start time of 10 days and Task E has a late start time of 8 days. Task C is 2 days long. What is the early finish time of Task C How is being responsible like a bridge? Jose's school is selling tickets to a choral performance. On the first day of ticket salesthe school sold 3 adult tickets and 7 child tickets for a total of $132. The school tookin $141 on the second day by selling 4 adult tickets and 7 child tickets. What is theprice each of one adult ticket and one child ticket? 1) Calculate the speed of a runner who runs 100 m in 20s In a balanced ecosystem with predators and prey, if the prey population decreases then....? Hinduism grew out of the beliefs of what earlier religion?A.IslamB.JudaismC.ChristianityD.Brahmanism