What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Select one:
O A. y = - 2x - 2
O B. y = 2x + 2
O C. y = x - 2
O D. y = 2x - 2

Answers

Answer 1

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]

A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]

So, option D is correct.  


Related Questions

PLS HELP! DONT SKIP PLS.
Elena borrowed some money from her brother. She pays him back by giving him the same amount every week. The graph shows how much she owes after each week. 1. What is the slope of the line?
2. Is the slope positive or negative?
3. How much money did Elena borrow? (Hint: Vertical Intercept)

Answers

Answer:

1. -3

2. negative

3. $18

Step-by-step explanation:

1. slope is rise/run so...

-3/1=-3

2. because run was a change of 3 DOWN the y axis we and run is a change of 1 to the right on x axis we have a negative slope. -3

3. she borrowed $18. Vertical intercept means the point where our line crosses the vertical axis. (Vertical axis is Y axis.)

which value in the set (2,3,48,96) is a solution of the equation 24+x=72

Answers

Answer:

48

Step-by-step explanation:

24+x=72

Isolate x

24+x=72

-24    -24

x=48

A camping store is having a summer sale. Stoves are being sold at 40% off. If the sale price is $57 what was the original price of the stove before the sale

Answers

Answer:

The original price was $142.5.

Step-by-step explanation:

40 ÷ 100 = 0.4

$57 ÷ 0.4 = $142.5

Therefore, $142.5 is our answer.

Answer:

142.5

Step-by-step explanation:

Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5

The original price of the stove before the sale is  $ 142.5

HELPP PLZ WILL MARK BRAINLIEST AGAIN

Answers

Answer:

The fifth and fourth one

Step-by-step explanation:

[tex](\frac{v^2-49}{20v^3} )(\frac{4v^2-24v}{v^2+v-42} )[/tex]
I will give brainiest to answer with explanation.
Correct answer is
[tex]\frac{v-7}{5v^2}[/tex]

Answers

9514 1404 393

Answer:

  (v -7)/(5v^2)

Step-by-step explanation:

Cancel common factors from numerator and denominator.

  [tex]\dfrac{v^2-49}{20v^3}\times\dfrac{4v^2-24v}{v^2+v-42}=\dfrac{4}{20}\cdot\dfrac{(v-7)(v+7)(v)(v-6)}{v^3(v+7)(v-6)}\\\\=\dfrac{1}{5}\cdot\dfrac{v-7}{v^2}\cdot\dfrac{v(v+7)(v-6)}{v(v+7)(v-6)}=\boxed{\dfrac{v-7}{5v^2}}[/tex]

3 + 2x - y = 0, -3 - 7y = 10x}

Answers

Answer:

In point form:

( -1 , 1 )

In equation form:

x  =  − 1  , y  =  1

3x-4=58 ////helllppppo

Answers

Answer:

-0.75

Step-by-step explanation:

Use the information in the picture.
Is it a parallelogram? YES
NO
If yes, give the theorem:

Answers

Yes, parallelogram congruent angles theorem

Please help me this is due tomorrow and I don’t know what to do

Answers

Answer:

180-80=100

100-38=62

MJL=62

angle(m)=80

Answer:

<MJL = 62°

<m = 80°

x = 4

Step-by-step explanation:

in ∆JKL total angle aum is 180° and to find <L we have to subtract the given angles in this triangle from 180

that is

<L = 180-80-38 = 62°

then <MJL = 62° (alternative interior angle)

<JLM= 38° (alternative interior angle)

then <m = 180-62-38 = 80°

6x = 24 ( opposite sides are equal in parallelogram)

x= 24/6

x = 4

how do i solve this question

Answers

Answer:

18.18

Step-by-step explanation:

total sum of angle of quadrilateral is 360

70+60+ 7x-4+4x-3=360

160-7 +11x =360

153 +11x =360

11x=360-153

x=207/11

x=18.18

Find the radius of the button

Answers

radius is half of diameter
d=28
28/2=14

radius =14

Answer:

the radius is 14

Step-by-step explanation:

... ....ur welcome.........

since the diameter of it is 28 the radius is half of it

A car is traveling at a constant speed of 60 miles per hour. Complete the table below to the distance that the car travels in hours.

Answers

Answer:

The value for the first one is “d= 60t”
because that’s how much the car travels per hour.
The values for the second question is “450=60t” because 450 is the amount of miles the car traveled in total, and again the 60 is how many miles the car travels per hour.

Hope this helped!

Which of the following expressions is equivalent to (12x4−4x3+7x+6)+(3x2−4x+14)?

A
12x4−x3+3x+20

B
15x6−8x4+21x+6

C
15x6−4x3+3x+20

D
12x4−4x3+3x2+3x+20

Answers

Answer:

It believe its C

Step-by-step explanation:

how do you solve 10.50 X 8.5

Answers

Answer:

89.25

Step-by-step explanation:

because:

it just is

someone please help me with this I would really appreciate it (no files ) or (links) because it don’t work for me

Answers

Answer:

817.71

Step-by-step explanation:

Hi!

This involves applying trigonometry.

Because we are trying to figure out the height of Burj Khalifa, we are trying to find the length of AB. We already have CB, which is the adjacent side with respect to the angle. Then, AB would be the opposite side with respect to the angle given.

Remember SOH CAH TOA? Well, we have the adjacent and opposite sides involved in this, so we use the tangent function!

It will be as follows:

tan(73) = AB / 250

AB = (250)(tan(73))

AB = 817.71 meters

Cockroaches can digest a wide range of substances, which makes them a(n) _____.
A.specialist species
B.generalist species
C.keystone species
D.indicator species

Answers

Answer:

specialist species

Please help me it’s due in 1 hour

Answers

Answer:

There were 39 children at the party

Step-by-step explanation:

Here, we want to know the number of children at the party

To do this, we have to add the y-values ( frequencies of the age grades)

We have this as;

8 + 8 + 7 +10 + 6 = 39

Solve the following quadratic equation for all values of x in simplest form.
5x(x^2-4)+10=10
first person to answer right get branliest
people in com.ments who right get a tha.nks and fo.llow

Answers

Answer:

[tex]x=0,\:x=-2,\:x=2[/tex]

Step-by-step explanation:

Do you want me to explain it?

A pattern of ordered pairs is shown.

(0, 1), (2,4), (4,7), (6, 10)

The pattern continues. What is the eighth ordered pair in the pattern?

A. (8,13) B. (14, 18). C. (14, 22) D. (16, 19)​

Answers

Answer: C

Step-by-step explanation:

X’s are going by +2 and y’s by +3

After identifying the pattern, its eighth ordered pair is: (14, 22), option C.

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

The ordered pairs given are: (0, 1), (2,4), (4,7), (6, 10)

From them, we can see that for each new ordered pair, x increases by 2, and y increases by 3.Thus, the next ordered pairs are: (8, 13), (10, 16), (12, 19), (14, 22).The eighth ordered pair is given by (14,22), option C.

A similar problem is given at https://brainly.com/question/16599038

In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.

A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b

Answers

Answer:

x=cb-ad/bd

Step-by-step explanation:

The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Prove of rational number

Given nonzero integers:

a, b, c, d

If a/b is added to x

a/b + x

the sum is c/d

a/b + x = c/d

prove x to be a rational number

a/b + x = c/d

subtract a/b from both sides

a/b + x - a/b = c/d - a/b

x = c/d - a/b

x = (cb - ad) / bd

Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Learn more about rational number:

https://brainly.com/question/12088221

A horse’s heart rate is about 36 beats per minute. If the horse's heart has beaten 189 times how many minutes have passed by.

Answers

Answer:

5.25 mins

Step-by-step explanation:

189/36 = 5.25.

Don't download/ clikc on any links they are hackers.

will mark brainlliest

Answers

Answer:

1

Step-by-step explanation:

Answer:

b is the cprrect answer

Step-by-step explanation:

please mark this answer as brainliest

PLEASE help it’s due today at 10pm

Answers

Sorry bro its past 10pm now, hope you figured it out

Anyone know how to do this?

Answers

Answer:

y = -1/2 x + 25

The relationship is linear, but it takes some doing.

Step-by-step explanation:

Remark

This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.  

You have to introduce another variable which I labeled as z.

Let time = x

Let distance = y

Let the step away from the starting point = z   which will be the same for x and y. So 18 and 16 the step away from the start is 3.

So as the time increases, the distance decreases.  What we are going to do sort of resembles a parametric relationship.

t starts with 10

x = 10 + 4*(z - 1)   and increases by 4 with each step

d starts with 20 and decreases by 2 with each step

y = 20 - (z - 1)*2

Now solve for z in each of the forgoing equations.

x = 10 + 4z - 4

x = 6 + 4z

x - 6 = 4z

(x - 6)/4 = z

y = 20 - 2z + 2

y = 22 - 2z

y - 22 = - 2z

(y - 22)/-2 = z                    

Since the zs must be kept the same, the left sides are equated

(x - 6)/4 = (y - 22)/-2               Cross multiply

-2(x - 6) = 4(y - 22)                 Remove the brackets.

-2x + 12 = 4y - 88                   add 88 to both sides.

-2x + 100 = 4y                        Switch the sides

4y = - 2x + 100                       Divide by 4

y = -1/2 x  + 25

Now for sure you have to try this.

Let x = 14

y = -1/2 * 14 + 25

y = -7 + 25

y =  18

Try another one

Let x = 22

y = -1/2 * 22 + 25

y = - 11 + 25

y = 14

Those two at least check.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
ALSO 50 POINTS!

Answers

Answer:

h = 12 m

[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of cylinder (r) = 5/2 = 2.5 m

[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]

Solve.
Pls need help

Answers

Answer: try C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It's c because you multiply 3 1/8 by 3 and 3 1/4 by 4 and 3 1/2 by 1.

Determine the center and radius of the following circle equation:
x^2+y^2+12x-10y+12=0

Answers

Answer:

Center: ( -6,5) Radius: 7

Step-by-step explanation:

I hope this helps!

Answer:

radius =  9

C:(9,3)

Step-by-step explanation:

Alguien me ayuda por favor :(.

Answers

Answer:1.) -62.) 533.) -111

No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me

Answers

1) 9x + 13 = 17x - 15
13 = 8x -15
28 = 8x
x = 3 1/2
Answer- A

2) barrel a; 5x+20
barrel b; 4.25x+32
Equal barrel weight: 5x+20=4.25x+32
5x=4.25x+12
0.25x=12
x=48
Answer: 48 shovels of dirt will make the two wheel barrels equal

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

vertical? (not sure

75=4x-25

100=4x

x=25

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