What is the slope-intercept form of the linear equation x+4y=12?

Answers

Answer 1

Answer:

y = -x/4 + 3

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form:   x + 4y = 12

Step 2: Rewrite

Find slope-intercept form

Subtract x on both sides:                    4y = 12 - xDivide 4 on both sides:                       y = 3 - x/4Rearrange:                                           y = -x/4 + 3
Answer 2

we know that

The equation of the line in the slope-intercept form is equal to

we have

Solve for y

Subtract  both sides

Divide by  both sides

therefore

the answer is

Y= 1/4x+3


Related Questions

Jimenez Paint Company used ⅙ gallon of paint to paint ½ of a gym wall. How many gallons of paint would it take to paint all four walls of the gym?




a: 4 gallons


b: 4/3gallons


c:2/3 gallons



d:3/4gallons

Answers

1/3 for one total wall. So multiplied by four is 4/3 total gallons
Correct answer is B. 4/3

Because if half a wall uses up 1/6 gallon of paint

A full wall uses 2/6 gallon of paint

So multiple that 2 by 4 (the walls) and you get 8

So 8/6 —— then you need to simplify so divide the top and bottom by 2 and you get =

4/3 gallons of paint

Two cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a King and the second card is a $\heartsuit$

Answers

Answer:

1 / 51

Step-by-step explanation:

Given that :

Number of cards in a deck = 52

Number of heart suit = 13

Number of kings = 4

Recall:

Probability = (required outcome / Total possible outcomes)

P(first card is king) = 4/52 = 1/13

P(second card is heart) = 13/51

Hence,

P(first card is king) * P(second card is heart)

(1/ 13) * (13/51) = 13 / 663 = 1/ 51

Answer:

1/53

Step-by-step explanation:

So, you have 4 kings in a deck. You have a 4/52 chance in the first one which simplifies to 1/13. There are 13 hearts in a deck. 13/53 * 1/13 = 1/53. Sorry if I got this one wrong.

ill give brainly :))))

Answers

20 now give brainly

if that is not it its -20

To simplify the expression all you must do is add common numbers, when you add all the negatives you are left with -24 and 4r.
So I believe the answer is
4r + -24
or
4r-24

The Viking football team won 4 out of every 5 of their football games. If they played 20 games, how many games did they lose? help me plzz i give you brianlist​

Answers

Answer: The Viking football team lost 4 games.

Step-by-step explanation: Since the Vikings WON 4/5 of their 20 games, you need to find the other 1/5. That means you need to find 1/5 of 20. Divide 20 and 5. The final answer is 4.

The lost 4 games out of 20

4x times4b be fast nowwwwwwwwwwwwwwww pls

Answers

Answer:

16xb

Step-by-step explanation:

In algebra the numbers are multiplied with the numbers and the variables are multiplied with the variables.

In this question we would multiply x with b and 4 with 4 .

Multiplying x with b would give xb and 4 with 4 gives 16

So the answer will be 16xb

For example if you have 3x and 10 z the answer would be 30xz

whats 3% as a fraction​

Answers

Answer:

3/100

Step-by-step explanation:

3% = 3/100 = 0.03

0.03 100

——— x ———

1 100

=

3/100

Evaluate the expression
-5+(-13) + 10 - 10 =

Answers

-5 - 13 + 10 - 10 =
the tens cancel out
-5 - 13 = -18

Answer:
-18

Answer:

-18

Step-by-step explanation:

A add and a minus makes a minus so you do -5  - 13 = -18

-18 + 10 = -8    -8 - 10 = -18   You do not have to write this out as positive 10 - 10 is equal to 0

The area of a rectangle is 72 sq units. One side length is 9 units. What is the other side length

Answers

Based on the area of the rectangle and the length of one side, the length of the other side is 8 units

The area of a rectangle is calculated as:

Area = Length x Width

The length is already given so the width is:

72 = 9 x Width

Width = 72 / 9

Width = 8 units

In conclusion, the other side length is 8 units.

Find out more about rectangular area at https://brainly.com/question/25292087.

Answer:

The length of other side of rectangle is 8 unit.

Step-by-step explanation:

Given :

[tex]\pink\star[/tex] Area of rectangle = 72 sq units[tex]\pink\star[/tex] Lenght of rectangle = 9 units

To Find :

[tex]\pink\star[/tex] Breadth of rectangle

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\purple{Area_{(Rectangle)} = l \times b}}}}}}[/tex]

[tex]\blue\star[/tex] l = length [tex]\blue\star[/tex] b = breadth

Solution :

Substituting all the given values in the formula to find breadth of rectangle :

[tex]{\dashrightarrow{\sf{Area_{(Rectangle)} = l \times b}}}[/tex]

[tex]{\dashrightarrow{\sf{72= 9 \times b}}}[/tex]

[tex]{\dashrightarrow{\sf{b = 72\div 9}}}[/tex]

[tex]{\dashrightarrow{\sf{b = \dfrac{72}{9}}}}[/tex]

[tex]{\dashrightarrow{\sf{b = \cancel{\dfrac{72}{9}}}}}[/tex]

[tex]{\dashrightarrow{\sf{b = 8 \: unit}}}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Breadth = 8 \: unit}}}}}}[/tex]

Hence, the other side length of rectangle is 8 unit.

[tex] \rule{300}{1.5}[/tex]

and y
together
in 10 days
15 days. In how
alone
can do a piece
of wool
x alone
do it
mony
would y
can finish
work?
the​

Answers

Answer:

what its hard tho can you scan tha problem

simplify 25+ (15 - 10)​

Answers

Step-by-step explanation:

25+5

=30

plzzzz if it helps you then plzz give me brainliest

what is 8 ÷ 2(2 + 2) = i have been stuck on this problem for 1 year now Halp !!!
will give brainliest for the right answer thats funny

Answers

Answer:

ok after reviewing this answer for the past 8 years i just figured it out

1(6)

Step-by-step explanation:

i know this may come as a huge shock however this is actually true. It's been a long emotionally journey finding this answer but please bear with me, as im crying really hard right now since I cannot believe I actually solved it. As unbelievable as it sounds I will not be providing work as i think my mind is too big and swag, but please believe me on this because im  literally the kid genius

edit: ok just ran this through my totally not paid for calculator with my mcdonalds money but it is actually 16 i am literally deleteing   my account this is so embarassing for me

Answer:

8÷2= 4 and (2+2)= 4 .....

What number makes this equation true?


4×3,270=(4×3,200)+(4×□)

Answers

X=520 Isolate the variable by dividing each side by factors that don't contain the variable.

What is the equation of the solid boundary line?

and can you explain how you solved it?

Answers

Answer:

solid boundary line: y = -1/2 x + 4

shaded area: y ≥ -1/2 x + 4   and    y < x+1

Step-by-step explanation:

solid boundary line pass (0,4) (2,3)

slope (m) = (3-4) / (2-0) = -1/2

y intercept (b) = 4

equation: y = mx + b        y = -1/2 x + 4

system: y ≥ -1/2 x + 4

dotted line: (0,1) (2,3)

m = (3-1) / (2-0) = 1

b = 1

equation: y = x + 1

system: y < x+1

Please help me! I don’t know what to do!!! 15 pts!!

Answers

I believe the answer is A

Answer:

is (A).

Step-by-step explanation:

The answer is (A).

Jason and Abby finished a meal at a fancy restaurant and their bill was $136.89. They wanted to give the waiter a 20% tip. How much is the tip? _____ (remember to round to the nearest hundredth.) How much is their total bill, including the tip? _____

Answers

The tip is $28

their total bill + tip = $165

(answers are rounded up)

answer plz ill mark you brainliest bro
ALGEBRA-
Which expression is equivalent to (3x−2)(x+6) ?

4x + 4
3x² + 20x + 12
3x2+16x−12
4x² + 12x + 4

Answers

Answer:

1= false

2= one sloution

3=All real numbers are solutions.

4=No real solutions.

Step-by-step explanation:

hope this helps

3x2+16x-12
Hope this helps! Mark as brainliest please!!

Help pls and thank you :)

Answers

Answer:

[tex]\displaystyle m=7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (1, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                     [tex]\displaystyle m=\frac{7-0}{1-0}[/tex]Subtract:                               [tex]\displaystyle m=\frac{7}{1}[/tex]Divide:                                  [tex]\displaystyle m=7[/tex]

find the locus of a point which moves such that its distance from (1,2) is always 5 units​

Answers

Answer:

TbH my brain is to tired lol

Step-by-step explanation:

sorry

JjjjjjsjsjjzjkKJJJJJ

What is the answer to (10y + 6)

Answers

Answer:

2 ( 5 + 3 )

Step-by-step explanation:

Common factor

1 0 + 6 10y+6 2 ( 5 + 3 )

Answer:

2 (5y + 3)

Step-by-step explanation:

You can pull out a 2 from both terms to create

2 ( 5y + 3)

it can’t simplify any more

What is the solution to the system below?
-4x + 5y = 27
x - 6y = -2

Answers

Step-by-step explanation:

I used substitution method

-4x+5y=27

x-6y=-2

substitute x=-2+6y

I am again using : x-6y=-2

x(-2+6y)-6y=-2

-2+y=-2

y=-2÷2

y=-1

finding x:(substituting y=-1)

x-6y=-2

x-6(-1)=-2

x+6=-2

x=-2-6

x=-8

check:

-4x+5y=27

-4(-8)+5(-1)=27

32+-5=27

The correct range for the function ƒ(x) = x − 9 if the domain is (3, -3, 0) is:

Answers

Answer:

The correct range is thus;

(-6,-12,-9)

Step-by-step explanation:

Here, we want to get the range given the domain

we simply make a substitution of the domain in the equation so as to get the range

So let us substitute the value of the domain one after the other

f(3) is 3-9 = -6

f(-3) = -3-9 = -12

f(0) = 0-9 = -9

What is the length of the hypotenuse of an isosceles right triangle (both legs congruent), if the leg is 8?

Answers

Answer: 8 sqrt 2

Step-by-step explanation:

An isosceles right triangle is also known as a 45-45-90 triangle. In a 45-45-90 triangle, both the legs are equal, and the hypotenuse is the leg of the triangle multiplied by the square root of 2.

Another way to solve this is to us the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, a^2 + b^2 = c^2, with c being the hypotenuse. Since a and b are both equal to 8, 8^2 + 8^2 = c^2. This simplifies to 128 = c^2. By taking the square root of both sides, you get sqrt 128 = c. This simplifies to c = 8 sqrt 2

what is 87.92 rounded to the nearest tenth

Answers

Answer:

87.92 rounded to the nearest tenth would be 87.9 because you wouldn't round up unless the number after the 9 was 5 or higher.

Step-by-step explanation:

Step-by-step explanation:

87.9

......

hope it helps!

Alicia lives in a town whose streets are on a grid system, with all streets running east- west or north-south without breaks. Her school, located on a corner, lies three blocks south and three blocks east of her home, also located on a corner. If Alicia only walks south or east on her way to school,

how many possible routes can she take to school?

Answers

To get to the school Alicia should walk 3 times south and 3 times east: SSSEEE. Total # of routs to the school is # of permutation of SSSEEE, which is 6!/(3!3!)=20 (# of permutations of 6 letters out of which 3 S's and 3 E's are identical);

Now, we wan to count all the routs which start with {SS}. So, {SS} is fixed and then there can be any combination of the rest 4 letters SEEE. So, all possible routs which start with {SS} equal to # of permutation of SEEE, which is 4!/3!=4 (# of permutations of 4 letters out of which 3 E's).

P=4/20=1/5.

Hope this helps !

Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which statement best describes triangle P′Q′R′? It is similar to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is congruent to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is similar to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9). It is congruent to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9).

Answers

Answer:

It is similar to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9).

Step-by-step explanation:

Sam bought a Blu-ray disc that normally costs $20. The store was running a sale that was a 15% discount for the
disc. What was the amount of discount Sam got on his disc?

Answers

Answer:

15% of $20 is $3

So the price of his disc was reduced to $3

Step-by-step explanation:

A shark swimming 14 feet below the surface of the water. It descends 15 feet to catch a fish and then ascends 8 feet. Describes the location of the shark

Answers

Answer:

22 FT

Step-by-step explanation:

14+15-8=22

Corina read 1/12 of her book in 1/3 of an hour. How much of her book will she have read in 1 hour? A: 1/36 B: 2/3 C: 1/4 D: 1/2. Choose correct answer. Plz and thx.

Answers

The answer is C. 1/4
* the work may not make sense but it’s the correct answer ( I think)

Simplify the equation: (3√-5+2)(4√-12-1)

Answers

Answer: 8/x+5 - 6/x+9

               2/x-9  * 5/x-4

Step-by-step explanation: Multiply The numbers 3 * 5 =15    =(15√- +2)(4 * 12√- -1) then multiply the numbers 4 * 12=48  =(15√- +2)(48√- -1) then apply minus -plus rules +(-a)= -a    = 15 *48√-√- -15 *1 *√- +2 * 48√- -2 *1 then simplify =81√- -722

Answer now pls I’ll give you brainliest just pls answer

Answers

Answer:

7,460 (or 7460 as some non-native English speakers would write it) since you always round a number down when it ends in 1 through 4, and always round it up when it ends in 5 through 9.

Step-by-step explanation:

pls give me brainliest plssssssssssssssssssssss.

Answer:

18.)   7,459.82 rounded to the nearest whole number is 7,460.

19.)   523.791 rounded to the nearest tenth is 523.8.

20.)   6,507.125 rounded to the nearest hundredth is 6,507.13.

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