A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

Answers

Answer 1

Answer:

[tex]y=3x+4[/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 x is equal to 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

[tex]=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into [tex]y=3x+b[/tex]

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

I hope this helps!


Related Questions

Svp aidez moi )

Un père a 42 Ans et sa fille 12 Ans
On veut trouver la réponse à cette question : dans combien d’années l’âge du père sera t-il le triple de celui de sa fille ?

Answers

Answer:

Dans 3 ans  l’âge du père sera le triple de celui de sa fille

Step-by-step explanation:

X= années qui doivent passer

3(12+X ) = 42 +X

36+ 3X = 42 +X

2X = 6

X = 3

La fille   15 ans

Le  père 45 ans   (15x3=45)

PLS HELP ILL MARK BRAINLIST

Answers

Answer:

76 m²

Step-by-step explanation:

The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:

Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

✔️Area of rectangle 1:

Area = L*W

L = 2 m

W = 4 m

Area = 2*4 = 8 m²

✔️Area of rectangle 2:

Area = L*W

L = 4 m

W = 6 - 4 = 2 m

Area = 4*2 = 8 m²

✔️Area of rectangle 3:

Area = L*W

L = 10 m

W = 6 m

Area = 10*6 = 60 m²

✅Area of the figure = 8 + 8 + 60

= 76 m²

What is the length of the hypotenuse?

A. 10
B. 14
C. 48
D. 100

Answers

Option A= 10

Process

Using Pythagoras Theorem,

8²+6²= (hypotenuse)²

64+36= (hypotenuse)²

(hypotenuse)²= 100

hypotenuse= √100

hypotenuse= 10

So Option A= 10

Hope This Helps You ❤️

Answer:

The hypotenuse is A. 10.

Step-by-step explanation:

To find the length of hypotenuse we can use  the pythagoras theorem formula:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]=>6^{2} +8^{2} = c^{2}[/tex]

[tex]=> 36 + 64 = c^{2}[/tex]

[tex]=> 100 =c^{2}[/tex]

[tex]=> c = \sqrt{100}[/tex]

∴ [tex]c[/tex] [tex]= 10[/tex]

help me with C please

Answers

Answer:

your answer is going to be b Find the product of A and B

Step-by-step explanation:

Hmmm the answer will be in total 45-80 witch equals your mom

PLEASE HELP ME WITH THIS

Answers

Answer:

Step-by-step explanation:

angle 1=130 degree(being alternate angles)

angle 2=50 degree

angle 2 +130=180 degree(being co interior angle)

angle 2=180-130

angle 2=50 degree

Answer:

m<1 = 50

m<2 = 130

Step-by-step explanation:

From the picture, you can inference that m<1 looks like 130 degrees, and m<2 does not. You can tell because m<1 looks like a wide-angle, while m<2 looks like a closed-angle. So, m<1 is 130 degrees.

To find m<2 subtract 180 by 130 because 180 is the measure of a straight angle.

180 - 130 = 50

So m<1 = 50

-5+9j=67
Please help me with math!

Answers

Answer: j=8

Step-by-step explanation: first, add 5 to both sides. You now have 9j = 72. Then divide each side by 9. You now have j=8

Find the total pay for biweekly at $9.50 per hour

Answers

how many hours do they work? Please be more spesific

Answer:

The answer is 760

Step-by-step explanation:

If you make $9.50 an hour with 8 hours a day and 40 hours a week you multiply the 9.50 with 40 to get 380. Now, you have the total for one week you can double it to get the pay for two weeks which come out to 760.

A bookcase has a mass of 20 kilograms. A book in the bookcase has a mass of 500 grams.
How many books of the same mass would it take to equal the mass of the bookcase?
Enter your answer in the box

Answers

Answer:

40 books

Step-by-step explanation:

Divide 20 kg by 500 g, or, alternatively, divide 20 kg by 0.5 kg.

Either way, the result is 20/0.5, or 40.

40 books of the same mass would have the same mass as the bookcase.

Hope this helps :)

Answer:

40

Step-by-step explanation:

.5kg*40=20kg

40 books

Two dice are rolled simultaneously and the difference of the numbers are
found.
(a) Draw a table to show all the possible outcomes after the rolling of the two
dice.

Answers

Answer:

Step-by-step explanation:

you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)

-       1      2     3    4    5    6

1      0      1      2    3    4    5

2    -1      0      1     2    3    4

3    -2     -1     0     1     2    3

4    -3     -2    -1     0     1    2

5    -4     -3    -2    -1     0    1

6    -5    -4     -3    -2    -1   0

You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years?

Answers

Answer:

You will pay $13.50 in interest and end up paying $238.50 total after the eight years

Step-by-step explanation:

225 x 0.06 = 13.5

225 + 13.5 = 238.5

Answer:

you pay 108 dollars after 8 years

Rowena and Arlene are going to make a triangular path in her garden. The sides will be 20 feet, 36 feet, and 18 feet. What is the total length of the path? Answer the questions that follow using AGONSA.

Answers

Answer: 74feet

Step-by-step explanation:

In this case, to calculate the total length of the path, we have to find the perimeter of the shape which is a triangle.

It should be noted that the perimeter of a triangle is the addition of all of its sides. The sides given here are 20 feet, 36 feet, and 18 feet. Therefore, the total length will be:

= 20ft + 36ft + 18ft

= 74ft

The perimeter of a triangle is the sum of all sides of the triangle. Then the path length is 74 feet.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Rowena and Arlene are going to make a triangular path in her garden.

The sides will be 20 feet, 36 feet, and 18 feet.

The length of the path is given by the perimeter of the triangle. Then we have

Length of path = 20 + 36 + 18

Length of path = 74 ft.

More about the triangle link is given below.

https://brainly.com/question/25813512

The annual interest rate on a 15-year
mortgage on a house assessed at a value
Of $450 000 is 5 cents on every $1 What
is the interest paid on the mortgage for the
first year?

Answers

Answer:

The amount of interest paid is $22,500

Step-by-step explanation:

Firstly, we need the number of $1 in $450,000

That would simply be $450,000/$1 = 450,000

5 cents is same as 5/100 = $0.05

so we have to multiply 450,000 by 0.05

we have this as;

450,000 * $0.05 = $22,500

Find the measure of the missing angle.
123*
HELP ASAP

Answers

Answer:

57 degrees

Step-by-step explanation:

A line is always 180 degrees so you just subtract 123 from 180 which is 57

The graph of a function is a line passes through points (6,20) and (8,42). What is the equation of this function?

Answers

Answer:

The equation would be y=mx+b so plugging in the slope which is, 11, so y=11x+b WE DO NOT KNOW THE Y INTERCEPT

Ayaan does push-ups and sit-ups every morning. He does p push-ups and 2p + 5 sit-ups. Which statement describes the number of sit-ups Ayaan does every morning?

The number of sit-ups is 5 more than twice the number of push-ups he does.

The number of sit-ups is 5 more than half the number of push-ups he does.

The number of sit-ups is 5 fewer than twice the number of push-ups he does.

The number of sit-ups is 5 fewer than half the number of push-ups he does.

Answers

Answer:

A. The number of sit-ups is 5 more than twice the number of push-ups he does.

Step-by-step explanation:

Expressions:

p = push-ups done

2p + 5 situps = total situps

2p means that he does twice the amount of situps than he did as pushups.

+ 5 situps means that he does an extra 5 situps

Hikers set up camp at 5,200 feet on
Guadalupe Peak. They plan to reach
the summit at 8,750 feet by hiking
equal distances cach day for the
next 5 days. Which number line
represents the distance, in feet, they
must hike each day to reach the
summit?

Answers

Answer:

710 ft

Step-by-step explanation:

8750 - 5200 = 3550

3550 / 5 = 710

What is 6 1/12 - 3 6/12? Move numbers to the boxes to show the answer. If there is no whole number put a 0 in the first box

Answers

6/12

- 1/12

= 5/12

6 - 3 = 3

= 3 5/12

verify that cscθ cosθ tanθ =1

Answers

cos=-0 cos=0 verify it and it’s right

Answer:

TO VERIFY :-

[tex]\csc \theta \times \cos \theta \times \tan \theta = 1[/tex]

GENERAL TRIGONOMETRIC FORMULAES :-

[tex]\csc \theta = \frac{1}{\sin \theta}[/tex].[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]

SOLUTION :-

L.H.S. =

[tex]\csc \theta \times \cos \theta \times \sin \theta[/tex]

[tex]=> \frac{1}{\sin \theta} \times \cos \theta \times \frac{\sin \theta}{\cos \theta}[/tex]

[tex]=> \frac{\sin \theta \times \cos \theta}{\sin \theta \times \cos \theta}[/tex]

[tex]=> 1[/tex]

R.H.S. = 1

∴ L.H.S. = R.H.S. (Proved)

At the beginning of the week, a puppy weighed 514 pounds. During the week, the puppy gains 8 ounces.

How much does the puppy weigh, in pounds, at the end of the week?

Enter your answer as a mixed number in simplest form by filling in the boxes

Answers

5 ¾ ☼

♣ explanation ♣

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

Add 8 ounces onto 5 to get 13, and then, add the unit fraction 1/4 onto it and you get 13 1/4 as your non-simplified mixed number answer.

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

But wait! The answer must be simplified into the mixed number, "5 3/4" by dividing the current answer by 8 1/2, or any other number that involves similarities to the fractions' characteristics.

PLEASE HELPPP PLEASEE

Answers

Answer:

Step-by-step explanation:

yes

Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′? (5 points) Group of answer choices
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).

Answers

Answer:

I believe it is A I may be wrong

It is similar to Triangle ABC and has coordinate A'(8, -12), B'(4, -16), and C' (-20, 8).

Since its getting dilated by 2 it will be getting bigger

help find value of x and Angle HIK

Answers

Answer:

4) x = 19

Part B = 37

Step-by-step explanation:

These 2 angles are equal to each other because they're vertical angles.

4x + 67 = 143

4x = 143 - 67

4x = 76

x = 19

m<HIK:

180 - 143 (because it's supplementary to m<GIK)

37

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 1 1/2
inches. What is the surface area?

Answers

Answer:

90

Step-by-step explanation:

Formula is:

2(wl + hl +wh)

plug in values and calculate

What does this mean <_ but the line under it

Answers

Answer:

it means less than or equal to :)

Step-by-step explanation:

What would be the surface area?

Answers

Answer:

7&2 = 49

49 x 3.14 x 2(there are two circles) = 307.72

Now we find the lateral surface area, we need to find circumference first:

2 x 3.14 x 7 = 43.96

Now we need to multiply by the height:

43.96 x 11 = 483.56

Now lets add our areas:

483.56 + 307.72 = 791.28 m^2 is your answer.


Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.

Answers

The area of square four is a² + b² + 2ab

How to calculate the area of square and triangle

The area of a square = l²

The Area so the two square = a² + b²

Area of the  triangles = 4(0.5ab) = 2ab

Add the area together

Area of the square four = area of square + area of 4 triangles

Area of the square four = a² + b² + 2ab

Hence the area of the square four is a² + b² + 2ab

Learn more on area of square here: https://brainly.com/question/13389992

Convert 3.12 mm into cm, m and km.​

Answers

Step-by-step explanation:

to cm = 3.12×100 = 312

to m = 3.12×1000 = 3120

:) HOPE THIS HELPS YOU

Help!! Please
I need the simplified form

Answers

Answer:

1/2

Step-by-step explanation:

Answer:
C. N=1/2
Step by step explanation:

Find the value of x.

Answers

Answer:

70.86 degrees

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 2/6.1 = 0.32787

x = 70.86.

Answer:

x ≈ 70.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2}{6.1}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{2}{6.1}[/tex] ) ≈ 70.9° ( to 1 dec. place )

Find the reciprocal of the numbers below: a. 1/3 b. 4/5 c. 7

Answers

Answer:

a. 1/3 = 3 b. 4/5 = 5/4 c. 7 = 1/7

Step-by-step explanation:

Reciprocal means switching the numerator to the denominator and the denominator to the numerator. Whenever you have a whole number, there is an imaginary 1 as the denominator that is why the reciprocal of 7 is 1/7.

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