Put the following equation of a line into slope-intercept form, simplifying all fractions.

3y−3x=15

Answers

Answer 1

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Hello! In this question, we will be changing our given equation to turn it into slope-intercept form.

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Explanation:

We are given the following equation:

3y − 3x = 15

Our goal is to turn the equation into slope-intercept form, which is:

y = mx + b

Let us rearrange the equation and simplify it:

3y − 3x = 15

Add 3x to both sides, which would cancel the 3x on the left.

3y = 3x + 15

Now, divide everything by 3 to get the "y" variable by itself.

y = x + 5

Therefore, your simplified equation in slope-intercept form would be:

y = x + 5

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Answer:

y = x + 5

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Answer 2

Part I: Reviewing the slope intercept form equation

Given equation:

3y - 3x = 15

Slope intercept form: y = mx + b

[Where "m" is the slope and "b" is the y-intercept]

Part II: Isolating "y" and it's cooeficient on one side of the equation

In the slope intercept form equation, we can see that the "y" variable is completely isolated on one side of the equation. Therefore,

⇒ 3y - 3x = 15⇒ 3y - 3x + 3x = 15 + 3x⇒ 3y = 3x + 15

Part III: Isolating "y" from it's cooeficient

The "y" variable in the slope intercept form has no cooeficient. Therefore, we need to isolate the cooeficient of "y" in our equation ( 3y = 3x + 15 ). This can be done by dividing 3 both sides or multiplying 1/3 both sides.

⇒ 3y/3 = (3x + 15)/3⇒ y = (3x + 15)/3

Part IV: Simplify the other side of the equation

Finally, simplify the other side to obtain our equation in slope intercept form.

⇒ y = 3x/3 + 15/3⇒ y = x + 5

Therefore, the equation in slope intercept form is y = x + 5.


Related Questions

A square pyramid is 6.3 in by 4 in by 4 in what is the surface area of the pyramid

Answers

Answer:

32.2 square feet

The top of a building is 65 meters away from a spot located 16 meters away from the foot of the building what is the height of the building

Answers

Answer:

81

Step-by-step explanation:

65 meters plus the 16 is 81

Answer:

Step-by-step explanation:

AB represent the building. C represents the spot

The building forms right angle with the ground.

BC will be the hypotenuse and AB, AC are the legs

Use Pythagorean theorem,

AB² + AC² = BC²

AB² + 16² = 65²

AB² + 256 = 4225

          AB² = 4225 - 256

                 = 3969

          [tex]AB = \sqrt{3969} =\sqrt{63*63}[/tex]

AB = 63 m

height of the building = 63 m

Point P is located at (4, 6) on a coordinate plane. Point P will be reflected over the x-
axis. What will be the coordinates of the image of point P? What transformation was
performed on the given figure
1. (8,4)
2. (4-6)
3. (4,28)
4. (24,4)

Answers

Answer:

2.

Step-by-step explanation:

it's the reciprocal

so it's gonna reflect

A fabric company can produce 10,200 yards of fabric per year currently. The company's goal is to increase the amount of
fabric it can produce by 450 yards each year. If the company meets its goal, how many total yards of fabric will it have
produced after 9 years?

Answers

The answer is 95,850 because 10,200+450x9years is the equation used

At the beginning of the year, Mrs. Wilkinson's class had 19 packages of colored paper. So far, the class has used 401 pieces of colored paper.
If each package of colored paper contained 75 pieces, how many pieces of colored paper does the class have left?



I need help

Answers

Answer:

1024 pages left

Step-by-step explanation:

19 pack  * 75 page/pack - 401 page =

Is Figure B a scale copy of Figure A?
Figure B
Figure A

Answers

Answer:

yes, if this is the answer you're looking for

Step-by-step explanation:

Yes. The scale factor is 1/2 or Divide by 2

Super Sandwiches offers 4 kinds of breads, 3 kinds of meats, 5 cheeses, and 7 dressings for a sandwich. How many possible combinations would there be for making a sandwich

Answers

Answer:

19

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

The sum of two numbers is 122. The difference of the first number and twice the second number is 23. Find the two numbers.

Answers

Answer:

One is 89 , the other is 33.

Step-by-step explanation:

Set up a system of 2 equations:

x + y = 122

x - 2y = 23        Subtracting:

0 + 3y = 99

y = 33.

So:

x + 33 = 122

x = 122 -33 = 89.

Answer:

first number= 89 and second number= 33

Step-by-step explanation:

here, let the first number be X and the second number be y,then

From the question,

x + y = 122 ---- eq i

x -2y = 23 ----- eq ii

From substitution method,

From eq i,

x + y = 122

or, x =122 - y

Now, putting the vale of x in eq ii,we get,

122 -y -2y = 23

or, -3y = 23-122

or, -3y = -99 (cut minus sign in both sides)

or, y=99/3

or, y = 33

Again, putting the value of y in eq i,we get,

x + 33 = 122

or, x= 122-33

or, x=89

A right triangle has leg lengths of 9 units and 12 units. Write an equation that can be
used to determine the length of the hypotenuse, c .

Answers

The Pythagorean Theorem

The Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

a and b are the two legs in a right trianglec is the hypotenuse (the longest side of a right triangle; opposite the 90° angle*keep in mind that this theorem applies only to right triangles

Solving the Question

We're given:

Legs = 9 units and 12 unitsHypotenuse = c

Plug these measurements into the Pythagorean theorem:

[tex]a^2+b^2=c^2\\9^2+12^2=c^2[/tex]

⇒ Combine like terms:

[tex]81+144=c^2\\c^2=225[/tex]

Answer

[tex]c^2=225[/tex]

Question 4 of 10
What is the probability that a data value in a normal distribution is between a
z-score of -0.28 and a z-score of 0.642 Round your answer to the nearest
tenth of a percent.
O A. 34.9%
O B. 73.3%
O c. 58.1%
O D. 90.9%
SUBIRI

Answers

the answer is D
real explanation: take 0.642 & divide it by -0.28.

A beach toy in the shape of a pyramid has a rectangular base with dimensions of 4 inches by 12 inches. The height of the rectangular pyramid is 10 inches.

How many cubic inches of sand is needed to fill the beach toy?

Enter your answer in the box.

Question 1 options:

Answers

The amount of sand needed = volume of rectangular pyramid = 160 cubic inches of sand.

What is the Volume of a Rectangular Pyramid?

Volume of rectangular pyramid = 1/3(base area × height of pyramid)

Given the following:

Base area of the pyramid = 4 in. × 12 in. = 48 in.²Height = 10 in.

Amount of sand needed to fill each beach toy = Volume of rectangular pyramid = 1/3(48 × 10) = 160 cubic inches of sand.

Learn more about volume of rectangular pyramid on:

https://brainly.com/question/1153556

The equation y = 8x 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. use this information to describe how to draw the line on a graph.

Answers

Answer:

Use points (0,12) and (1,20) on graphing paper or a program to find final answer.

Step-by-step explanation:

In the problem, I was unable to understand the equation so I am presuming the equation actually means y=8x+12

Whenever you graph a Linear Function you always need two points. The first point is always easy to acquire.

You can plug in any value for x, which will be your x cordinate and the output (solution) of the equation will be you y cordinate.

I'm plugging in 0 for X first.

y=8x+12

y=8(0) +12

y=12

We have our first point as (0,12)

Now you can plug in any other number for X other then Zero.

I choose 1 this time for X.

y=8x+12

y=8(1)+12

y=8+12

y=20

We now have our second point (1,20). Two points will be enough to graph this graph, you can graph these two points and then draw a line if on paper or use an application and get the line that way.

Answer:

Use the rise/run strategy to draw the line. Start at the y-intercept (0, 12), and count 8 up and 1 to the right to the point (1, 20). Then, draw a line through the points. Test the point (3,36) in the equation y = 8x + 12 to verify that the line is correct.

Step-by-step explanation:

got it right

Jean estimates that her friend completes a new level of a video game on the first try 20% of the time. She conducts a simulation to predict how many times out of 80 her friend would complete a new level on the first try. Jean uses a random number generator. Every digit that is 8 or 9 represents completing the level. Examine the table. ​

Answers

The probability of the friend completing the new level in her first try is 22.5%

What is probability?

This is a concept that is used to talk about the likelihood or the chances of an event occuring.

For the digit 8, the frequency is 7

For the digit 9, the frequency is 11

The total number of frequencies is given as

10 + 9 + 6+ 7 + 8 + 12 + 4 + 6 + 7 + 11 = 80

7 + 11 = 18

Probability = 18/80

= 0.225 x 100

= 22.5%

Read more on probability here: https://brainly.com/question/251701

Given the following graph, define a) the vertex, b) the intercepts, c) the axis of symmetry, and the sign of the lead coefficient.

Answers

Answer:

Option D is correct

[tex]Slope[/tex] [tex]of[/tex] [tex]AC=Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Step-by-step explanation:

Given:

1.

ΔABC and ΔDEF are similar

Property of similar states that corresponding sides are in proportion.

2.

[tex]\frac{BC}{EF}=\frac{AB}{DE}[/tex] [By property of similar triangles]

Property of proportions allows you to cross multiply the equation.

then;

3.

[tex]\frac{AB}{BC}=\frac{DE}{EF}[/tex]   [Property of proportion]

Definition of slope: Slope is described as the steepness and direction of line.

then by definition of slope;

4.

[tex]Slope[/tex] [tex]of[/tex] [tex]AC=\frac{BC}{AB}[/tex]

5.

[tex]Slope[/tex] [tex]of[/tex] [tex]DF=\frac{EF}{DE}[/tex]

6.

Substitution property of equality states that:

If a = b then a can be substituted in place of b in any equation or vice-versa.

then;

[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Therefore, the missing step in 6 we get,

[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Using the tree diagram below, what is the probability of getting tails and an even number?

Answers

hi the awnser us defiantly going to be that I 56

Step-by-step explanation:

edge

what is the name of the shape

Answers

Answer:

triangular prism

Step-by-step explanation:

Have a great day!

a dozen oranges cost 12 pesos so how much do 60 oranges cost

Answers

Find out how much one orange costs (the unit rate:

12 / 12 = 1
Therefore one orange is one pesos

So 60 x 1 = 60

60 oranges costs 60 pesos

Simplify the expression. Write your answer as a power.

Answers

Answer:

Step-by-step explanation:

8 with an exponet of 30 over 8 with an exponent of 8 ( aka ) 240/64

Manuel works out at the gym 2 days each week for 3/4 hour each day


how many hours does manuel work out each week?


2 x 3/4 =

Answers

Answer:

1.5, so an hour and thirty minutes

Step-by-step explanation:

Simplify 3/4 as 0.75. 0.75 times 2 is 1.5.

PLS I really need this a have 40 questions due tomorrow :( (please help anyone) 16 points

Answers

15. 20,5,4
You can use division to solve each of these,
60/3= 20,
60/12= 5
60/15=4

16. 3/10 + 5/100 = 7/20 or 0.35

answers needed asap, assignment is due 29, april 2022

Answers

Answer:

The answer is 3

Step-by-step explanation:

Answer:

The unit rate would be 3 dollars per pound!

Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
y= 22 + 3
y = -3.2 + 3
2=
y =
y

Answers

Answer:

Step-by-step explanation:

y=2x+3

y=-3x+3

**This is what's on the image.**


You need to aline the two together.

2x+3 = -3x+3


Add 3x both sides

3x+2x+3=3

5x+3=3

Now subtract 3 from both sides

5x=3-3

x= 0

This should be a vertical line from (0,0) to above since there is no slope you should have a straight line that is vertical.

Can someone step by step turn 3y-9x=-81 into slope-intercept form!???

Answers

To turn something into the slope-intercept form

  ⇒ must know the slope-intercept form ⇒ [tex]y = mx +b[/tex]

m: the value of the slopeb: y-intercept

To convert our current form into slope-intercept form

 ⇒ must solve for 'y'

    ⇒ (in other words) move everything to one side and 'y' by itself on the

    other

        [tex]3y - 9x = -81\\3y =9x-81\\y = 3x - 27[/tex]

     *purely extra information (not necessary for final answer)

slope is 3y-intercept is -27

Slope-intercept form: y = 3x - 27

Hope that helps!

7/2 inches by 3/2 inches?

Answers

Answer:

5.25 inches or [tex]5 \frac{1}{4}[/tex] inches

Step-by-step explanation:

I believe that the question is what do they multiply to..? If so, we start by making them both in decimal form:

7 / 2 = 3.5

3 / 2 = 1.5

Now, we multiply:

3.5 * 1.5 = 5.25

If you want fraction form, we can turn .25 to 1/4.

Fraction form: [tex]5 \frac{1}{4}[/tex]

Help asap!!! NO LINKS PLS!!

Answers

Answer:

18

Solution:First, evaluate 2^3, which equals 8.Next, evaluate 4^2, which equals 16.This is the simplified expression:3/4(8+16)3/4(24)Multiply:18

Hope it helps.

Do comment if you have any query.

A candelabra holds 5 identical cylindrical candles, each with a diameter of 6 centimeters and a height of 9 centimeters. How many cubic centimeters of wax are in all the candles on the candelabra combined?

Answers

Answer:

Step-by-step explanation:

one candle volume = area of base (circle) × height

V=r²πh

V=6²×π×9

   =36cm²×π×9cm²

  =351π cm³

  ≈1017.36 cm³

then multiply by 5 because there are 5 candles

= 5×351π cm³ = 1755 cm³

≈ 5510.7 cm³

BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTTTTtt

Answers

Step-by-step explanation below:

I am greater than -4 and less than 12. I am a multiple of 10. What number am I?

Answers

Answer:

I believe it is 10!

Step-by-step explanation:

The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 and so on.

The only multiple between -4 and 12 is 10!

Hope this helps!!!!

(WILL MARK BRAINLIST)
Write an inequality to represent the graph.
у
-5
4
3
(0, 2)
2 1
x
x
-5 -4 -3 -2 -1 0
-1
2
4 5 6 7 8 9 10
(4,-1)
-2
-3
-4
-51
-6
-7
-8
-9
-Previous Question
Question 1 (Answered)

Answers

i believe the answer is the second one

WILL GIVE BRAINLIEST!!!
Solve 3(2x - 3) = 15. Explain ALL steps.

Answers

Answer:

x=4

Step-by-step explanation:

distributive property goes first.

you get 6x-9=15

add 9 on both sides so 9 cancells out on the left side.

you get 6x=24

divide by 6 and you get x=4

3 x 2x = 6x
3 x -3 = -9

6x - 9 = 15
Add nine to both sides of the equal sign
15+9= 24

Divide both sides by 6

24/6= 4

X=4

Tell me if this helps
Please mark me as brainliest
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