Find the equation of a line that is parallel to y = x + 1 and passes through the point (3,-4).
Give your answer in the form y = mx + b.

Answers

Answer 1

Given:

The equation of a line is:

[tex]y=x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=1[/tex]

Slope of the given line is 1.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.

The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=1(x-3)[/tex]

[tex]y+4=x-3[/tex]

Subtracting 4 from both sides, we get

[tex]y=x-3-4[/tex]

[tex]y=x-7[/tex]

Therefore, the equation of the required line is [tex]y=x-7[/tex].


Related Questions

re-write 12% as a common fraction in a simple form​

Answers

Answer:

[tex]\frac{3}{25}[/tex]

Step-by-step explanation:

 

          [tex]12 \% = \frac{12}{100} = \frac{3}{25}[/tex]

Answer:

3/25

Step-by-step explanation:

12 %

to remove % sign divide 12 by 100

12/100

3/25

HELP ASAP



Brittany and two of her friends want to join a softball league. The league requires teams to have at least nine players, but teams cannot have more than fifteen players. In interval notation, how many more people can join Brittany's team?

Answers

Answer:

The inequality is [tex]9\leq p\leq 15[/tex]

Step-by-step explanation:

The minimum number of players is 9 and the maximum number of players are 15.

let the number of players is p.

The inequality is given by

[tex]9\leq p\leq 15[/tex]

-5 3/4 - 3 1/2 = ? Solve please!

Answers

Answer:

-9.25

Step-by-step explanation:

-5.75 - 3.5

-9.25

[tex]\implies {\blue {\boxed {\boxed {\pink {\sf { \:- 9 \frac{1}{4} (or) \:- 9.25 }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] - 5 \frac{3}{4} - 3 \frac{1}{2} [/tex]

➺[tex] \: \frac{ - 23}{4} - \frac{7}{2} [/tex]

➺[tex] \: \frac{ - 23}{4} - \frac{7 \times 2}{2 \times 2} [/tex]

➺[tex] \: \frac{ - 23 - 14}{4} [/tex]

➺[tex] \frac{ - 37}{4} [/tex]

➺[tex] \: - 9 \frac{1}{4} [/tex]

➺[tex] \: -9.25[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

I need help can’t figure this out :/

The table represents Joel's earnings
fordelivering papers. How much does
Joelearnperpaper? Show yourwork. Please help me I’ll give brainliest

Answers

Answer:

She earns $0.65 per paper

Step-by-step explanation:

1. She earns $3.90 per 6 papers

2. take $3.90 and divide by 6.

3. you will get the cost per paper.

4. to check the work if you'd like then take 7.80 and divide it by 12 and again you will get $0.65 per paper.

(you don't need to find a special calculator you can use one on your phone since each dollar has 100 cents so you just need to go out to the hundredths place in a decimal or the second decimal place)

what is the value of the expression 2[4(2^3+5)]-4^2

Answers

✏️ Development:

2 [4( 2³ + 5)] - 4²

2 [ 4 (8 + 5)] - 16

2 [ 4 ( 13)] - 16

2 [ 52 ] - 16

104 - 16

88

Good Studies!

Solve for x. Each figure is a parallelogram.
1)
Y
Х
95
8x - 1
V
W
answers
A) 3
C) 11
B) 8
D) 12

Answers

I think it’s B or A let me work on it

I WILL VOTE BRAINLIEST, HELP PLS
Eliminate the x in the following system of equations. What is the result when you add the two equations?

Answers

Answer: -7y = 21

explanation:

x+y=2;3x−4y=27

Step: Solve x+y=2 for x:

x+y+−y=2+−y (Add -y to both sides)

x=−y+2

Step: Substitute −y+2 for x in 3x−4y=27:

3x−4y=27

3(−y+2)−4y=27

−7y+6=27 (Simplify both sides of the equation)

−7y+6+−6=27+−6 (Add -6 to both sides)

−7y=21 (answer)

first option

manipulate line 1 to

x = 2 - y

then substitute x in line to for the righthand side above

then solve towards y.


Which of the following ordered pairs represents a solution to the linear inequality y<6x-4?

Answers

Answer:

Option D: (0,-5)

Step-by-step explanation:

Comparing the given points to the graph.

So, the point that will lie at the shaded area represent  solution to the linear inequality.

So, point (0,-5) is a solution to the linear inequality.

The answer is option D. (0,-5)

Note: the line y = 6x-4 is graphed using the table on the graph.

please i have 15 minutes​

Answers

Answer:

[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]

Step-by-step explanation:

[tex] 2^x = 7^{x + 1} [/tex]

Take the log of both sides.

[tex] \log 2^x = \log 7^{x + 1} [/tex]

Use properties of log.

[tex] x \log 2 = (x + 1) \log 7 [/tex]

[tex] x \log 2 = x \log 7 + \log 7 [/tex]

[tex] x \log 2 - x \log 7 = \log 7 [/tex]

[tex] x(\log 2 - \log 7) = \log 7 [/tex]

[tex] x = \dfrac{\log 7}{\log 2 - \log 7} [/tex]

[tex] x = \dfrac{\log 7}{-(\log 7 - \log 2)} [/tex]

[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]

Please help! Will give brainliest! Lucy is going to spin the spinner 85 times. the spinner is divided into equal sections

Answers

We can say 85 because we will spin it 85 times and it can happen we will not C

Not sure at all ....

Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
“But if you give me 4 marbles wwe would have the same number said Mary to Sam.
How many marbles do they have altogether?

Answers

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

What is the length of the line?

Answers

Answer:

Step-by-step explanation:

Pretend you see a right triangle here. From the lower end of the line go up 5 and you will be on the same horizontal as the upper end of the line. Go over 6 units and you close your triangle. This is a right triangle with legs 5 and 6 units long. We are looking for the hypotenuse of this triangle. Use Pythagorean's Theorem:

[tex]5^2+6^2=??^2[/tex]

25 + 36 = ??² and

61 = ??² so

?? = √61

what is the result of isolating y^2 in the equation below (x+6)^2+y^2=1​

Answers

Answer:

(x+6)^2 + y^2 = 1 then isolate y^2  by subtracting (x +6)^2 from both sides, we get

               

                y^2 = 1 - (x + 6)^2

expanding the right side, we now have

                y^2 = 1-(x^2 + 12x +36)

          y^2 = 1-x^2-12x -36

          y^2 = -x^2 -12x - 35  therefore the solution is  choice A

Step-by-step explanation:

Need help on this question asap please

Answers

Answer:

3rd choice

Step-by-step explanation:

Similar triangles have congruent angles and proportional sides

They look similar but size may vary

one number from 10 to 20 is written on each card select one card randomly what are the probability​

Answers

Answer:

1

Step-by-step explanation:

S = {,10,11,12,13,14,15,16,17,18,19,}

n(s) = 10

P(a) = n(a) / n(s)

= 10 / 10

= 1 / 1

= 1

hope this helps.....

Which of the following is the equation of the line that passes through the point (-7, 12) and is perpendicular to the line whose equation is y=8

a) y=-12
b) y=-7
c) x= -7
d) x=12

Answers

A y=-12 i just learend this and got 98 on my tesy

Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!

Answers

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

A circle has a diameter of 10 centimeters. If a sector with a central angle of 50 degrees is cut out, what is the area of this sector?

Answers

50/360 = X/78.54
Cross multiply
360x/360 = 3927/360
Cross out the 360’s
X=10.91

Alguien me ayuda Gracias
1) Se lanza un dado la probabilidad de que caiga un número

mayor que 5 es: 26,66%

V o F


2) Se lanza un dado, la probabilidad de que caiga un número mayor que 2 es: 56,66%

V o F


3) En una caja hay 12 pelotas de igual tamaño, de las cuales 7 son azules y 5 blancas.

La probabilidad de que al extraer una esta sea blanca es: 40,66%

V o F

4) Un matrimonio desea tener 3 hijos. La probabilidad de obtener:

Dos varones y una hembra es: 47,5%

V o F

5) Un matrimonio desea tener 3 hijos. La probabilidad de obtener dos varones y dos hembras es: 50%

V o F

Answers

Answer:

1) V

2) V

3) V

4) V

5) V

Step-by-step explanation:

what is the scale factor from figure a to figure b

Answers

Answer:

1/2

Step-by-step explanation:

These two triangles are similar, so there is a scale factor. The heights and the bottom sides of each triangle are similar, figure A has a bottom length of 6, and figure B has a bottom length of 3. To get from A to B, you multiply by 1/2. So the scale factor is 1/2.

What is the value of Y when the value of X is one?

Answers

Answer:

….

Step-by-step explanation:

You will need an image for that!

SOMEBODY PLEASE HELP

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]\frac{24}{4x} = 3[/tex]

24 = 3*4x

24 = 12x

24 / 12 = x

2 = x

Cos100x+4/3=0.............

Answers

answer:

[tex]{ \tt{ \cos(100x) + \frac{4}{3} = 0}} \\ { \tt{ \cos(100x) = - \frac{4}{3} }} \\ { \tt{100x = { \cos }^{ - 1} ( - \frac{4}{3} )}} \\ { \tt{invalid \: answer}}[/tex]

if p(x) = 3(x^2-2)+12 what is the value of p(10)?​

Answers

Answer:

p(10) = 306

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

p(x) = 3(x² - 2) + 12

p(10) is x = 10 for function p(x)

Step 2: Evaluate

Substitute in x [Function p(x)]:                                                                         p(10) = 3(10² - 2) + 12(Parenthesis) Evaluate exponents:                                                                  p(10) = 3(100 - 2) + 12(Parenthesis) Subtract:                                                                                      p(10) = 3(98) + 12Multiply:                                                                                                             p(10) = 294 + 12Add:                                                                                                                   p(10) = 306

if I have a 94% in art class and I don’t do one of my assignments and get a 68 what will my grade drop down to?

Answers

Answer:

81

Step-by-step explanation:

It depends on how many different grades you have and the values of each one of them.

I don't have those things, so Ill just use average.

You'll have an 81

Solve for x

-5x = -10

O x= -2
O x = 50
O x= 2​

Answers

X=2 - hope it helps

Answer:

x = -2

When we multiply a negative number with a positive number the answer is always negative.

Hope it helps:)

The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?

97 muffins


100 muffins


101 muffins


120 muffins

Answers

120

Step-by-step explanation:

if "1 hour is 24 muffins"

you can either use '+' or '×' to find the ans,

for example,

- 24+24+24+24+24 = 120

[formula 1]

using '+' is the longer way to solve the question

the easier way is by using '×', which will solve the question faster (with this you need to memorise the time table!^^)

- 24 × 5 = 120

[formula 2]

Both gives the same amount of ans, but only has a different way of solving it!

SOMEONE, PLEASE HELP
Use the quadratic model P(x) = 25x² − 24x + 615 to predict P(x) if x equals 8.

Answers

Answer:

2,023

Step-by-step explanation:

P(8) = 25(8)²-24(8)+615

= 1600- 192 +615

= 2,023

Dr. Johnny Smith is looking up from camp at an angle of elevation of 27
degrees to the top of a Red Wood Tree. The tree is 85 feet tall. What is
the distance from the bottom of the tree to the camp?

Answers

Answer:

166.8 feet

Step-by-step explanation:

tan = opp/adj

opp = height of tree

adj = distance

tan27 = 85/distance

distance = 85/tan27

use calculator

distance = 166.821892967937799

166.8 feet

x^2-10x=1 Solve by completing the square

Answers

Answer:

x = 5±sqrt(26)

Step-by-step explanation:

x^2-10x=1

Take the coefficient of x

-10

Divide by 2

-10/2 = -5

Square it

(-5)^2 = 25

Add this to both side

x^2-10x+25=1+25

(x-5)^2 = 26

Take the square root of each side

sqrt((x-5)^2) = ±sqrt(26)

x-5 = ±sqrt(26)

Add 5 to each side

x = 5±sqrt(26)

Answer:

-0.0990195 and 10.09902

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides

x^2-10x+?=1+?

To complete the square x^2-10x+25=(x-5)^2 add 25 to the expression.

x^2-10x+25=1+?

Since 25 was added to the left-side, you need to add it to the right-side as well.

x^2-10x+25=1+25

use a^2-2ab+b^2=(a-b)^2 to factor this expression.

(x-5)^2=1+25

Then add the numbers together.

(x-5)^2=26

Solve for x.

x1=-squareroot26+5

x2=squareroot26+5

therefore you have 2 solutions

x1=-squareroot26+5

=-0.0990195

and

x2=squareroot26+5

=10.09902

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I need help with my Spanish assignment asap Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 108 disks are summarized as follows: Shock Resistance Scratch Resistance High Low High 55 10 Low 13 30 Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. P(A)=86/100P(B)=79/100P(A')=7/50P(A U B)=95/100P(A' U B)= ??? Given that E is the universal set and that A and B are subsets of E. simplify An(B-A) Receptors trigger one of two effector pathways resulting in changes in neuronal activity. These changes will, ultimately, effect gene expression. Which effector pathway is characterized by ion flux through transmitter-activated channels resulting in an altered membrane potential and neuronal activity In the figure, ALM BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC? A bank gives a woman personal loan of 120,000. she has to pay back 11,000 every month for a year. find the amount paid back to the bank as interest. pls h help When did martins feelings toward his grandpa change ? You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent. 1.1 Refer to Source A. Motivate why Woza Albert will be a suitable choice for a school production. (3) In a class, there are 87 studentsin the class, and 38 are boys. What isthe probability that a girl is selectedrandomly to represent the class in adebate? What is the quotient of the fractions below? 2/35/4 help me pls i beg whoever types first ill mark them brainliest What is the pH of a solution with a concentration of 4.2 x 105 M H3O+? (4 points)Select one:a. 2.31b. 4.38c. 5.62d. 6.87What is the pH of a solution with a 4.60 x 104 M hydroxide ion concentration? (4 points)Select one:a. 0.663b. 3.33c. 10.1d. 10.7 A book store had 30816 exercise books which were paclced in cartons each carton contained 24 exercise books the mass of an empty carton was 2kg and a full carton 12kg please help giving brainly and points :) Why do some countries use English as one of the official languages of the country? Justify your responseand provide two examples. I need help please. what is the importance of revisiting operational procedures? Brian is a healthy young man he has been training with his teammates for 50 yard dash for months however even with practice he cannot run fast enough to qualify what is the most likely reason that Brian cant qualify GRAM is a parallelogram with diagonals RM and GA. If RP = x+7 , PA = 2x+18 , and GP = 8x , find RM