What is the equation of the blue line?

What Is The Equation Of The Blue Line?

Answers

Answer 1

Answer:

y =  4x - 3

Step-by-step explanation:

When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, we need to choose 2 points from the graph to solve for the slope:

Let (x1, y1) = (0, -3)

(x2, y2) = (1, 1)

Use the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Substitute the values of the coordinates into the formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-3)}{1 - 0} = \frac{1 + 3}{1} = \frac{4}{1} = 4[/tex]

Therefore, the slope (m) of the line = 4.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -3) is the y-intercept.  Hence, the y-intercept (b) = -3.

Given our slope, m = 4, and the y-intercept (b) = -3, the linear equation is:

y = 4x - 3

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)


Related Questions

I need super help with this one.
Which expression is equivalent to 8k+10+9k+1?
-k+11 18k+10
-k+9 or 11+17k

Answers

Answer:

[tex]8k + 10 + 9k + 1 = k(8 + 9) + (10 + 1) \\ = 17k + 11[/tex]

Evaluate.

3⋅2^3+5^2−18÷6




25

31

40

46

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's evaluate :

[tex]3(2) {}^{ 3} + {5}^{2} - (18 \div 6)[/tex]

[tex](3 \times 8) + (25) - (3)[/tex]

[tex]24 + 25 - 3[/tex]

[tex]49 - 3[/tex]

[tex]46[/tex]

Answer:

[tex]46[/tex]

Step-by-step explanation:

Hey there,

Before solving the sum you have to know about the BODMAS theorem.

That means you have to solve this sum according to the BODMAS theory.

BODMAS theory is,

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

Let us solve the sum now.

[tex]3 \times {2}^{3} + {5}^{2} - 18 \div 6 \\ 3 \times 8 + 25 - 18 \div 6 \\ 24 + 25 - 3 \\ 49 - 3 \\ = 46[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

8,326 x 9 =n
which is the answer?
A. 52,234
B.74,934
C.2,376
D.3008
E. none​

Answers

Answer:

B

Step-by-step explanation:

Answer:

2376 square feet

Step-by-step explanation:

40 x 15 = 600

40 x 24 = 960

1/2 x (24 x 9) = 108

600 + 600 + 960 + 108 + 108 = 2376

expression is equivalent to (f + g)(4)

Answers

Answer:

Answer: The Expression (f + g)(4) is equal to f(4) + g(4).

Step-by-step explanation:

13) Store A and Store B both sell apples by the pound. Store A uses the function y = 0.38x,
where y represents the total cost in dollars and x represents the number of pounds. The
relationship between weight and cost at Store B is shown in the table. At which store
are apples more expensive?
50 Points NEED HELP ASAP PLS AND THANK YOU

Answers

A) Store A

B) Store B

C) The cost is the same at both stores

C is the answer

he total cost of 5 doughnuts and 6 cookies at a bakery is $11.95. The cost of each cookie is $0.95.



Select the equation and its solution that can be used to determine the cost, x, of 1 doughnut.

Answers

Answer:

x=1.25

Step-by-step explanation:

Answer:

($0.95 * 6) + (5x) = $11.95

The cost of one donut (x) = $1.25

Step-by-step explanation:

I hope this helps!

Help Me !!!!!!!!!!!!

Answers

Marta has a better estimate

Step-by-step explanation:

cause let's round both one to the nearest ten. 260*30

then let's cancel both zeros to make it easier

26*3=78 and just add on two zeros at the end

clearly Marta estimate is better as it is closer to 7800

If odd natural numbers are less than 7, then they are prime numbers.

True or False?

Answers

i think true?? i think! im really not sure but yea

Use place value and properties of operations to find the sum.

5.8
+2.3
= _

Type a whole number or a decimal

Answers

Answer:

8.1

Step-by-step explanation:

Your answer would be 8.1

berapakah hasil dari 33 1/2 - 7 x 8 + 2 - 5,5 adalah, mohon bantuan nya kakak

Answers

Saya yakin jawabannya adalah -26 karena ketika Anda melakukan perkalian terlebih dahulu, kemudian lakukan pecahan 33 1/2 dan setelah itu Anda akan menambahkan 2 dan pengurangan 5,5 yang semuanya akan sama dengan -26. semoga saya benar dan ini membantu. (:

What is the value of 9 squard

Answers

I presume you mean 9 'square'

9^2= 9 X 9 = 81

Cheerio ✌️

Step-by-step explanation:

The value of 9 Square is = 9 ×9= 81

Hope it's help you

solve each proportion
how do you do this?

Answers

Answer:

solve each proportion

how do you do this?

Step-by-step explanation:

find the slope of the parabola y equals to e^(-4x) sin6x at the point P(2,4). write an equation for the tangent to the parabola at this point​

Answers

The equation of the tangent line to the curve is:

[tex]y - 4 = 0.0024(x - 2)[/tex]

Which has a slope of 0.0024.

The tangent line of a curve [tex]f(x)[/tex] at a point [tex](x_0,y_0)[/tex] is given by:

[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]

In this problem, the curve is:

[tex]f(x) = e^{-4x}\sin{6x}[/tex]

The derivative is:

[tex]f^{\prime}(x) = -4e^{-4x}\sin{6x} + 6e^{-4x}\cos{6x}[/tex]

Point P(2,4), thus [tex]x_0 = 2, y_0 = 4[/tex].

The slope is:

[tex]f^{\prime}(2) = -4e^{-4(2)}\sin{6(2)} + 6e^{-4(2)}\cos{6(2)} = 0.0024[/tex]

Then, the equation of the line is:

[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]

[tex]y - 4 = 0.0024(x - 2)[/tex]

A similar problem is given at https://brainly.com/question/22426360

find the value of x and y
will give brainiest

Answers

Answer:

[tex]2x + 7 = 3x - 7 \\ 3x - 2x = 7 + 7 = 14 \\ x = 14 \\ 2x + 7 + 12y + 1 = 180 \\ 12y + 36 = 180 \\ 12y = 180 - 36 = 144 \\ y = 144 \div 12 = 12[/tex]

Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-5x + y = -2
20x – 4y = 8

Answers

This are similar answers to your questions.

Help me plz o don’t know what to write and how to plz help me

Answers

9514 1404 393

Explanation:

Anything is categorized by how it matches with the definition of the category.

A composite number is a product of primes. A prime number is divisible only by itself and 1.

If a number has more than one prime factor (even if that is just multiple instances of the same prime factor), it goes into the composite number category. If its only prime factor is itself, it goes into the prime number category.

Use the distributive property to remove the parentheses -4(-2v+2y-2)

Answers

With the distributive property you multiply everything inside the parentheses by the number outside the parentheses.

-4 x -2v

-4 x 2y

-4 x -2

8v-8y+8

A snail is at the bottom of a 10 foot well. Every
day, he crawls up 3 feet, but at night, he slips
down 2 feet. How many days will it take for him to get
out of the well?

Answers

Answer:

10 days.

Step-by-step explanation:

3-2 = 1 foot of progress per day.

Answer:

8 days

Step-by-step explanation:

We get 8 days because the snail gets one foot higher every day. By the morning of the 8th day, the snail is 7 feet up and just needs to climb its daily 3 feet and it will be out of the well. You don't need 10 days because the snail only falls at night.

Select all of the equations that are equivalent to 3 x − 12 = 19
A 3x-12=19
B 3x=7
C 3x=31
D 3x+31=0
E 5x-12=2x+19
F x-4=(19/3)

Answers

Answer:

X=2

Step-by-step explanation:

x

=

2

Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

add 3x to both sides.

5

x

+

3

x

+

12

=

3

x

+

3

x

4

8

x

+

12

=

4

subtract 12 from both sides.

8

x

+

12

12

=

4

12

8

x

=

16

To solve for x, divide both sides by 8

8

x

8

=

16

8

x

=

2

As a check

Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.

left side  

=

(

5

×

2

)

+

12

=

10

+

12

=

2

right side  

=

(

3

×

2

)

4

=

=

6

4

=

2

x

=

2

is the solution

Answer:

b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19

PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER

Answers

Answer:

3(x+15) is the answer

Step-by-step explanation:

The equation x+15 repeats 3 times so you would have to create an equation to multiply x+15 3 times.

3x+15 is wrong because its only multiplying x by 3 and ignoring 15

x+45 is wrong because it is only multiplying 15 by 3 and ignoring x

x+15 is wrong because it is not multiplied by 3

3(x+15) is correct because it is the only answer that multiples 3 with both terms

Hope this helps

Answer:

Lets say that x is the number 5,

Step-by-step explanation:

5 divided by 15 = 0.33333333333

5 divided by 0.33333333333 = 15

5 + 15 + 5 + 15 + 5 + 15=60

(I know im all over the place with this, but this is just what i do)

60 - 15 = 45

15 + 45 = 60  

I know this is random but maybe you may figure it out or get a random hint??, 3(x+15) is 3x + 45

PRETTY SURE ITS 3(x+15) Please give me brainliest i sat here for like 24 mins trying to figure this out :(

Solve for z:

32=12+4(z-1)

Answers

Answer:

6

Step-by-step explanation:

32 = 12 + 4 ( z - 1 )

32 - 12 = 4 ( z - 1 )

20 = 4 ( z - 1 )

20 / 4 = z - 1

5 = z - 1

z - 1 = 5

z = 5 + 1

z = 6

A soccor team last 30% of its games suppose the team won 14 games how many games did the team play

Answers

Answer:

its 20 games in total

the equation is 14×100÷70

The probability of drawing three spades in a from from a standard deck of cards when the drawn card is returned to the deck each time.

Answers

Answer:

1/64

Step-by-step explanation:

P(pick 3 consecutive spades with replacement of drawn cards) =

(13/52)(13/52)(13/52) =

(1/4)(1/4)(1/4) =

1/64

need help asap on 9, 10,and 11

Answers

Step-by-step explanation:

9. a)

2•(-2) = 2 - 6

-4 = -4

-2 -2 = -2•2

-4 = -4

Yes, the ordered pair is the solution

9. b)

-1 = 3•(-2) +5

-1 = -6 +5

-1 = -1

3•(-2) +(-1) = -2

-6 -1 = -2

-7 ≠ -2

No, the ordered pair is not the solution

10. (-1, -1) and (3, -1)

11.

y = 6 +x

Now substitute it in the first equation:

3•(6 +x) = 5x

18 + 3x = 5x

18 = 2x

x = 18/2

x = 9

Now, substitute x = 9 in the second equation:

y -9 = 6

y = 6 +9

y = 15

Can anyone help me its due tomorrow

Answers

Answer:

No,the price is not within their budget.

Step-by-step explanation:

Because if you take 144 times 76 you get 10,944 which goes past their budget of 10,000

Answer:

They are over budget by $1,232.

Step-by-step explanation:

They want to replace 144 computer monitors each for $76.

$76 * 144 = $11,232

Their budget is $10,000 so they would be over budget by:

$11,232 - $10,000 = $1,232

The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.

Answers

Answer:

range =[-5,5]

domain =[-2,3]

(9+8i)(5-5i) in standard form

Answers



The correct answer hope this helps and Brainliest?

(9+5i)(9+8i)
81+72i + 45i -40
41+ 117i

Answer:

40i²-5i+45

Step-by-step explanation:

(9+8i)(5-5i)9(5-5i)+8i(5-5i)45-45i+40i-40i²45-5i-40i²40i²-5i+45

each face of a cube is a square with a side length of 7 inches what is the total area off all the faces of the cube

Answers

Answer: 294 square inches

Explanation:
A = L*W
In a square, all side lengths are equal.
A = 7*7
A = 49 square inches
^^^this is the area of one face of the cube

A cube has six faces, so multiply that value by 6.
49 * 6 = 294 square inches


2.5% of 2 2/5
is what number?

Answers

Answer:

The number is 0.06, or 6 hundredths.

Step-by-step explanation:

If we convert 2 2/5 to a decimal, we get 2.4

Then, we can convert our percentage to a decimal by moving our digits two units down, giving us .025.

Now, we can multiply 2.4 and .025, which gives us 0.06

PLEASE HELP!!!!!
WILL MARK BRAINLIEST!!!!

Answers

Each plot is being multiplied by a number. The first plot goes up by one each day. the second plot goes up by adding 200 to the next number. (option C i cannot figure out)


For the expressions, just write down ___ x____ for each option.
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