Line a can be described by the equation 3x - 4y = 8.
Write the equation of a line in slope intercept form that is parallel to line a and goes through point (24, 6).

Answers

Answer 1

Given:

Equation of a line is

[tex]3x-4y=8[/tex]

To find:

The equation of line in slope intercept form that is parallel to line a and goes through point (24, 6).

Solution:

If a linear equation is [tex]ax+by+c=0[/tex], then

[tex]Slope=-\dfrac{a}{b}[/tex]

In the equation [tex]3x-4y=8[/tex], a=3 and b=-4, thus the slope of the line is

[tex]Slope=-\dfrac{3}{-4}[/tex]

[tex]Slope=\dfrac{3}{4}[/tex]

We know that, slope of two parallel lines are same. So, slope of parallel line is

[tex]m=\dfrac{3}{4}[/tex]

The parallel line passes through (24, 6) and have slope [tex]m=\dfrac{3}{4}[/tex], so the equation of line is

[tex]y-6=\dfrac{3}{4}(x-24)[/tex]

[tex]y-6=\dfrac{3}{4}(x)-\dfrac{3}{4}(24)[/tex]

[tex]y-6=\dfrac{3}{4}(x)-18[/tex]

Add 6 on both sides.

[tex]y=\dfrac{3}{4}(x)-18+6[/tex]

[tex]y=\dfrac{3}{4}(x)-12[/tex]

Therefore, the equation of parallel line in slope intercept form is [tex]y=\dfrac{3}{4}(x)-12[/tex].


Related Questions

hey dude pls answer this

Answers

Answer:

Part A: 10 ft per 2 minutes, so 5ft per 1 minute. so the slope would be -5.Part B: He would be -30ft, or 30 ft under the sea level.

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

-19.86 as A Fraction: How did you do it?
Need Help Please!!

Answers

Answer: -993/50 or -19 43/50

Step-by-step explanation:

-19.86 = -19 86/100

-19 86/100 = -19 43/50

or -993/50

Identifying values in the domain, probs really easy for you!

Answers

Answer:

Not

Not

In domain

Step-by-step explanation:

u cannot square root a negative number as you'll get a complex number, making h(x) undefined


What is the slope of a line with the equation y = -x + 6?

Answers

ANSWER

slope= -1/1 or -1

BRAINLIEST!!! Correct answers only!

Answers

Answer:

the first one

hope this helps

Evaluate: 476.8 - 54.32 + 16.54 - (-12.23)

A) 559.89

B) 410.25

C) 426.79

D) 451.25
NEED HELP ASAP

Answers

The answer is D I’m almost 100% sure

Adding & Subtracting Polynomials need help

Answers

Answer:

aisuejejrfjtntn

Step-by-step explanation:

a standard bathtub holds 70 gallons of water on average it takes 7 and 1.5 minutes a bathtub how many gallons go down the drain each minute

Answers

Answer:

jrir4hut4hgu8

Step-by-step explanation:

Look at the picture

I need help on a math assignment.

Answers

Answer:

(18 , - 10)

Step-by-step explanation:

5x + 4y = 50 .... (1)

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

Solve (2) for "x"

x = - 2y - 2 .... (3)

(3) ----> (1)

5(- 2y - 2) + 4y = 50 ⇔ - 6y - 10 = 50 ⇒ y = - 10 .... (4)

(4) ----> (2)

x + 2(- 10) = - 2 ⇒ x = 18

(18, - 10)

the answer is (18, -7). Hope this helps :)

Complete the like terms to create an equvalent expression:
-4r - 2r + 5

Answers

-6r+5
the two like terms are the ones with R. combine -4r and -2r to get -6r

Describe how to evaluate and then evaluate
the following power: 81 3/2​

Answers

Answer:729

Step-by-step explanation:

81^3/2

(3^4)^3/2

3^6

729

Jesus is the son, the spirit, and the Living of God! ...

Answers

Answer:

Yessir he's coming soon

Step-by-step explanation:

6. One of the transformations above was a dilation by a scale factor of k. The scale factor is the multiplicative amount that the picture has been enlarged. To calculate it, divide any length on B by the corresponding length on A. Use your ruler to make these measurements and then calculate the scale factor of the dilation. Round to the nearest tenth.​

Answers

Answer:

well it is b

Step-by-step explanation:

well I tried my best

When a figure or a shape is dilated, the size of its image will either be enlarged or compressed.

The scale of dilation from A to B is 1.5

See attachment for the image that completes the question.

Using a ruler, we have the following measurements

[tex]\mathbf{A = 1\ inch}[/tex]

[tex]\mathbf{B = 1.5\ inches}[/tex]

The scale factor (k) from A to B is:

[tex]\mathbf{k = \frac BA}[/tex]

This gives

[tex]\mathbf{k = \frac {1.5\ inches}{1\ inch}}[/tex]

[tex]\mathbf{k = \frac {1.5}{1}}[/tex]

[tex]\mathbf{k = 1.5}[/tex]

Hence, the scale factor (k) from A to B is 1.5

Read more about dilations at:

https://brainly.com/question/19347268

Brainliest FAST & CORRECT!!!

Answers

Answer:

oop

Step-by-step explanation:

Answer:

It is the 4th choice mark me brainliest

Step-by-step explanation:

can someone please help

Answers

Answer:

The fourth answer

Step-by-step explanation:

Answer:

{6,9}

Step-by-step explanation:

The table values are given as;

x   y

0  0

2  3

4  6

Take the values as coordinates in form of {x, y} , to have the following;

{0,0} , {2,3} , {4,6}

Find the slope using the coordinates as;

m=Δy/Δx

m=3-0/2-0 = 3/2

The slope m = 3/2

So from the answer choices, the coordinates that can give a slope of 3/2 will be:

{6,9}

The x coordinates increase by 2units while those of the y coordinates increase by 3 units.

he distance between 314 and −134

Answers

Answer:

i am pretty sure its 180

Step-by-step explanation:

mark me brainliest plz so close to next rank

Need help ASAP Select all numbers that are irrational

Answers

Answer:

The 3rd and 4th ones :))

The only irrational number there is π.

Please help on the clear top two! Someone please explain what I’m supposed to do step by step.

Answers

Answer:

So what you're being asked to do for #4 is graph the line. The y-intercept would be -2, and then a line with a slope of 1/3(rise over run) will go through that y-intercept. For the second one, you need to convert it to y = mx + b form and then do the same thing.

Del has 12 less than 3 times the number of comic books as Patrick. Del has at most 57 comic books. What solution represents the number of comic books, b, Patrick can have?

Answers

Answer:

Del has 19 comic book

Step-by-step explanation:

to figure this out we need to take 57 and divide by the 3 given.

57 ÷ 3 = 19

so because we divided 57 by 3 we know the answer is 19

Del has 19 comic books

i dontt get it plse hellp meeee

Answers

Answer:

there is nothing here

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/3*(x-10)-(-4)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

  1                

 (— • (x - 10)) -  -4  = 0

  3                

STEP

2

:

Equation at the end of step 2

 (x - 10)    

 ———————— -  -4  = 0

    3        

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         -4     -4 • 3

   -4 =  ——  =  ——————

         1        3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x-10) - (-4 • 3)     x + 2

—————————————————  =  —————

        3               3  

Equation at the end of step

3

:

 x + 2

 —————  = 0

   3  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x+2

 ——— • 3 = 0 • 3

  3

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x+2  = 0

Solving a Single Variable Equation:

4.2      Solve  :    x+2 = 0

Subtract  2  from both sides of the equation :

                     x = -2

One solution was found :

x = -2

help me please I only have 5 minutes to do this​

Answers

You didn’t actually post a question. I will try and help tho

Step-by-step explanation:

There is nothing to do .__.

You need to add the attachment or whatever...

Evaluate the expression.

|23 – 4|

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] |4 - 23| = - (4 - 23) = [/tex]

[tex]23 - 4 = 23 - 3 - 1 = [/tex]

[tex]20 - 1 = 19[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Please Help!! If answer, please answer them all, thank you!!

Answers

9514 1404 393

Answer:

  (b) angle FOA

  (c) angle EOA

  (d) angle AOH

Step-by-step explanation:

(b) The rays of vertical angles are opposites that form intersecting lines.

The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.

__

(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.

__

(d) Similarly, the supplement to angle BOH is angle AOH.

_____

Comment on supplementary angles

Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.

The anderson family has many pets.They have 5 dogs,3 cats, and 2 rabbits.The ratio compare the number of rabbits to the number of dogs is _____ to _____

Answers

Answer: 2:5

Step-by-step explanation: There are 2 rabbits and 5 dogs.


8x - 5y = -6
6x + 2y = -16

Answers

Answer:

both x and y are -2 in this case

Kelsey has a new baby brother! He weighs 8 lbs 3 oz. The doctor said the baby should gain about 5 ounces per week. At that rate, how much should the baby weigh-in 3 months (12 weeks)?

Answers

Equation: 0.5x + 8.3
Plug in 12 for x and solve

8
Which is the algebraic representation for a rotation 180° clockwise?
A. Y,X
B. -y,x
C. Y,-x
D. -x-y

Answers

ITS Y,X I just took it. I hope this helped you

The required algebraic representation for a rotation 180° clockwise is -x, -y. Option D is correct.

What is the transformation of geometry over the coordinate plane?

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

here,
When rotation 180° clockwise takes place then the sign of the coordinate is reversed as if it is positive then it becomes negative and vice versa.

So the algebraic representation for a rotation 180° clockwise of (x, y) is (-x, -y).

Thus, the required algebraic representation for a rotation 180° clockwise is -x, -y. Option D is correct.

Learn more about transformation here: https://brainly.com/question/18065245
#SPJ6

solve as multi step eqaution 42 = 3(2y - 4)

Answers

It is 9 bro mental math

Choose the appropriate transformation for the figure
Picture above ***

Answers

Answer :

Rotation :)

A soccer coach filled a water cooler with 34.07 liters of water before a game. The players drank 29.6 liters during their game. How many liters of water were left in the cooler?

Answers

Answer:

4.47 liters

Step-by-step explanation:

To find how many liters were left, subtract the amount they drank from the original amount:

34.07 - 29.6

= 4.47

So, there were 4.47 liters of water left in the cooler.

After players drank 29.6 liters of water from 34.07 liters there is 4.47 liters of water left in the cooler.

What are some alternative names for arithmetic operations?

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, A soccer coach filled a water cooler with 34.07 liters of water before a game.

The players drank 29.6 liters during their game.

∴ Liters of water that is left in the cooler is the difference between water-filled before the game to the water drank by players during their game which is,

= (34.07 - 29.6).

= 4.47 liters are left in the cooler.

learn more about arithmetic operations here :

https://brainly.com/question/20595275

#SPJ2

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