Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28

Answers

Answer 1
Answer:

[tex] \Large{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

Explanation:

We are given a linear equation, and we would like to express it in slope-intercept form.

[tex] \\ [/tex]

[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]

Where:

m is the slope of the line.b is its y-intercept.(x , y) is a point through which the line passes.

[tex] \\ [/tex]

Given linear equation:

[tex] \sf 4y - 4x = -28 [/tex]

[tex] \\ [/tex]

To find the slope-intercept form of the equation, we have to solve for y.

First, add 4x to both sides of the equation:

[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]

[tex] \\ [/tex]

Then, divide both sides of the equation by 4:

[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

▪️Learn more about the slope-intercept form here:

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Answer 2
Given to us:–a line's equation in Standard Form

To find:–The equation in slope - intercept .

First , Add 4x to both sides :

➱ [tex]\sf{4y-4x=-28}[/tex]

➱ [tex]\sf{4y=-28+4x}[/tex]

Next , Divide all terms by 4 to get y all alone

➱ [tex]\sf{y=-7+x}[/tex]

Rearrange so that our result matches the format for slope - intercept :

➱[tex]\sf{y = x +7}[/tex]

Henceforth, Equation : y = x + 7 .


Related Questions

Convert the decimal 0.92¯¯¯ to a fraction.

Answers

Answer:

23/25 when reduced to the simplest form.

Step-by-step explanation:

write down the number as a fraction of one

0.92 = 0.92/1

so we multiply both numerator and denominator by 100

Then 0.92/1 = ( 0.92x100) / ( 1x100)

= 92/100

Now reduce the numerator and denominator by GCD between in this case

GCD ( 92,100) = 4

so, 92/ 4

100/ 4

=23/25

Pls help asap the best I can do is 50 points
Answer the ones where the zeros are those are the one that I did bad or left blank

Answers

Step-by-step explanation:

8.a.

a function is something that looks like

y = ax + b or similar.

it describes the way to calculate the result for whatever input value you can come up with.

so,

C = 12×d + 8

you could also say

C(d) = 12×d + 8

as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.

funny thing is : you understood this perfectly well when doing b.

c.

the constant rate of change is always the factor of the input variable. here : 12

it is the ratio of (y change) / (x change)

or here (C change / d change).

it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.

9.a.

remember, what we just said about the rate of change ?

it is (result change) / (input change).

between 2010 and 2015

the input changed by +5 (from 2010 to 2015).

the result changed by +6.25 (from 37 to 43.25).

the rate of change is therefore

6.25/5 = 1.25 = 1 1/4 = 5/4

the function is therefore

population in millions = (years since 2010)×5/4 + 37

p = y×5/4 + 37

b.

now we want to find the number of years (y) so that the result of that equation is 50.

50 = y×5/4 + 37

13 = y×5/4

52 = 5y

y = 52/5 = 10.4

so, this will be during the 11th year after 2010 = 2021.

10.

be careful and concentrate.

you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.

a.

again, remember the change rate : it is result change / input change.

so, we have here 20/5 = 4.

so,

C(n) = 4×n + 50

b.

n = 12

C(12) = 4×12 + 50 = 98

c.

now we have C(n), and want to find for which n this is true.

C(n) = 78

78 = 4×n + 50

28 = 4×n

n = 7

after 7 visits the costs are 78.

there are the basic costs of 50 (for n = 0 or 0 visits) and then extra 4 for every visit.

d.

the x-axis is for the number of visits, the y-axis for the costs.

so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).

find the gcf of 27 and 3​

Answers

Answer:

Step-by-step explanation:

27x3=81

Answer:

It's 3 hope it's help....


Some home computers can do a calculation in 2 x 10 ? seconds. Write this number in standard form.

Answers

☆Answer :

2 × 10 = 20

see Picture.

Find the product using formula ...

formula = ( a + b ) ( a - b )

a) 1.2 × 2.8​​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}

[/tex]

Answer:

3.36

Hope it helps.

Do comment if you have any query.

Can someone please help with my math homework? this is so confusing.

Answers

Hi there friend, your answer for perimeter is 18.

I’ve included a graph below to help explain why but basically if you count the squares, each side measures 4 1/2 units so if you multiply 4 1/2 units by 4(the number of sides) you get 18.

Solve it ( i'll select u as brainlist )

Answers

Answer:

b is ur answer

Step-by-step explanation

hope this helps :)

C*C*C=???
helpp me with this

Answers

Check the picture below.

pls help mee I dont k ow this and if anyone is smort enough can you help me with the 9ther questions (5 i total my last redo)​

Answers

Answer:

c

Step-by-step explanation:

I think that is the answer

Answer:

c

Step-by-step explanation:

it is equal to.

A family buys a studio apartment for $140,000. They pay a down payment of $28,000.
a. Their down payment is what percent of the purchase​ price?
b. What percent of the purchase price would a ​$7,000 down payment​ be?

Answers

Answer:

$their down payment is $280 the percentage of the purchase is $2.8


Please help if you can!

Answers

Answer:

(0 ; -3)

Step-by-step explanation:

The y-intercept is where the line touches the y axis meaning that x is 0.

Answer:

-3 by the looks of it.

Step-by-step explanation:

The line intercepts at the y-intercept (the vertical and or straight up and down line) at -3.

Given: HG I HI, EI I HI ZEHI~= ZGIH
Prove: ∆GHI =~ ∆EIH​

Answers

[tex]\red{\rule{45pt}{999999pt}}[/tex]

Is there a proportional relationship between a planet’s diameter and its distance from the sun? Explain.

Answers

Answer:

Yes there is a proportional relationship

Step-by-step explanation:

If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.

The total cost of going to the theatre for 18 people is £803.16.

How much will each person need to pay to cover the total cost?

Answers

803.16 divide by 18 = £44.62

can someone plz help with this FAST
I WILL MARK BRAINLIEST

Answers

Answer:

42 times

Step-by-step explanation:

lets say the number of times they flew on saturday was x, so we have 34 + 2x = 118. subtract 34 from both sides to get 84. so 2x=84. divide by 2 to get x=42

Answer:

B)  42

Step-by-step explanation:

friday - 34 times

saturday - 'x' times

sunday - 'x' times

34 + x + x = 118

34 + 2x = 118

2x = 84

x = 42

Nghiệm của Phương trình sĩn= -1

Answers

Answer:

sinx=−1⇔x=−π2+k.2π,k∈Z ( mà ông người VN đúng không =)))

Step-by-step explanation:


Hi guys mind helping me with this

Answers

Answer:

i actually have the same question  

Step-by-step explanation:

Answer:

the bearing is 290°

Step-by-step explanation:

firstly complete those compass directions (just to make it easier for you). find the remaining angle on A which is 110°. subtract 90° from it and get 20°. using the concept of alternating angles. then add from the North to where the line connecting B n A is, 270°+20°=290°

P= ?????????
Pls help and explain

Answers

Check the picture below.

It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?

Answers

Answer:

$139 463.95

Step-by-step explanation:

100% - 4.6% = 95.4%

95.4% ÷ 100 = 0.954

0.954 --> decimal multiplier

$185 000 × 0.954^6 = $139 463.95

Hope this helps! <3

Select the values that make the inequality u≥ -7 true.

Answers

Answer:

Well u could be -7 or anything higher than that.

Which equation shows y=3x−15 in standard form?

5x−15y=−1

5x−15y=1

15x+5y=−1

15x−5y=1

Answers

Answer:

c  5x -15y =1

5x-15y=1

-5x -15y= 1 -5x     change the signs on both sides of the equation

    15y = -1 +5x      divide both sides by 15

        y = -1/15 + 1/3 x    Reorder the terms

        y = 3x-15

Step-by-step explanation:

Hope this helps:)

3. Sandra earns P62,954 per month. Determine the following Percentage Amount of Deduction Whld Tax 24% SSS 1.4% Philhealth 1.1% SSS 1.4% Pag-ibig 0.2% Total Deduction Net Pay​

Answers

Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.

Given that Sandra earns $ 62,954 per month, to determine the percentage of deductions the following calculations must be performed:

Withhold Tax 24% 62,954 x 0.24 = 15,108.96  SSS 1.4% 62,954 x 0.014 = 881.35  Philhealth 1.1% 62.954 x 0.011 = 692.49  Pag-ibig 0.2% 62.954 x 0.002 = 125.90  Total Deduction = 15,108.96 + 881.35 + 692.49 + 125.90 = 16,808.71 Net Pay = 62,954 - 16,808.71 = 46,145.29

Therefore, Sandra's total deductions are $16,808.71, and her net pay is $46,145.29.

Learn more about quantities in https://brainly.com/question/25716934

ple help me quick thank you:)​

Answers

Answer:

z> 5/4

To graph, use the open dotted line and put it at point 5/4 aka 1.25 going towards the right because it is greater than.

Step-by-step explanation:

Isolate your variable (z) by multiplying both sides of the equation by 5/3.

z> 5/4

It took Jasmine 1 day and 4 hours to travel 1,960 miles. What was her average speed in miles per
hour?

Answers

Answer:

it took Jasmine 479 miles per hour


WILL GIVE YOU BRILLIANT
State whether the graph of the linear relationship is a solid line or a set of unconnected points. Complete the explanation of your reasoning. The relationship between the number of $5 lunches you buy with a $145 school lunch card and the money remaining on the card because you select ) The relationship is a select ) buy a (select

Answers

Answer:

The relationship will be a solid line.

Step-by-step explanation:

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.

The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.

Let the number of lunches you buy be = x

Let the amount remaining in the card be = y

So, equation forms:

When you buy 1 lunch, or x = 1

When x = 2

When x = 3

We can see that the decrease is gradual and same.

You can also see the graph attached that a straight line is formed.

Consider the following equation.

x+4y=14
Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.

Answers

Answer:  4

Explanation:

We plug in x = -2 and solve for y

x+4y = 14

-2+4y = 14

4y = 14+2

4y = 16

y = 16/4

y = 4

Therefore, the point (-2, 4) is on the line x+4y = 14.

I need help asap!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1/2 yd 5/3 yds The first one

Step-by-step explanation:

For exercises 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expressions.

Answers

Answer:

No Questions are shown here

Step-by-step explanation:

Just says "For exercises, 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expression."

Identify the type of function graphed to the right.
o linear
exponential
other
As x increases by 1 unit, what is the exponential
growth factor?

Answers

9514 1404 393

Answer:

exponentialgrowth factor 3

Step-by-step explanation:

If the function showed linear growth, it would be a straight line. Since it curves upward, it will be either "exponential" or "other." The growth factor seems more or less constant, so we can claim the curve to be exponential.

When x=1, y=1; when x=2, y=3. The increase in x by 1 unit causes the value to grow by a factor of 3/1 = 3. When x=3, y=9, which is growth by another factor of 3. The growth factor is 3.

Answer:

Am working on that too this is for everyone! here you go

Step-by-step explanation:

Edge 2021!

A truck is carrying
10^3
bushels of apples,
10^2
bushels of grapes, and
10^1
bushels of oranges. Each bushel of apples weighs 32 pounds, each bushel of grapes weighs 25 pounds, and each bushel of oranges weighs 42 pounds. What is the total weight of the fruit in pounds?

A.
3,592 pounds

B.
5,742 pounds

C.
32,299 pounds

D.
34,920 pounds

Answers

[tex]\begin{cases} \stackrel{apples}{10^3}\\ \stackrel{grapes}{10^2}\\ \stackrel{oranges}{10^1} \end{cases}\qquad \begin{cases} \stackrel{lbs}{32}\\ \stackrel{lbs}{25}\\ \stackrel{lbs}{42} \end{cases}\qquad \begin{array}{rllll} 10^3\cdot 32\\ 10^2\cdot 25\\ +\qquad 10\cdot 42\\\cline{1-1} 34920&lbs \end{array}[/tex]

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