Find the equation of a line passing through (-2/3, 5) that is parallel to 4x-2y=6. Express your answer in point-slope form.

Find The Equation Of A Line Passing Through (-2/3, 5) That Is Parallel To 4x-2y=6. Express Your Answer

Answers

Answer 1

Using the information given, it is found that the linear function is given by:

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

A linear equation, in point-slope formula, is modeled by:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

m is the slope.The point is [tex](x_1, y_1)[/tex].If two lines are parallel, they have the same slope.

Parallel to 4x - 2y = 6, which, in standard form is:

[tex]2y = 4x - 6[/tex]

[tex]y = \frac{4}{2}x - \frac{6}{2}[/tex]

[tex]y = 2x - 3[/tex]

Hence, the slope is [tex]m = 3[/tex].

Point [tex]\left(-\frac{2}{3}, 5\right)[/tex], hence, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

To learn more about linear functions in point-slope form, you can take a look at https://brainly.com/question/13967935


Related Questions

Solve for x in the following inequality: 3(-2x - 4) > 18

Answers

Answer:

x < -5

Step-by-step explanation:

3 ( -2x - 4 ) > 18

→ Expand the brackets

-6x - 12 > 18

→ Add 12 to both sides

-6x > 30

→ Divide both sides by -6

x < -5

Answer:

[tex]\boxed {\boxed {\sf x< -5}}[/tex]

Step-by-step explanation:

We are asked to solve the following inequality for x.

[tex]3(-2x-4) > 18[/tex]

Solve for x by isolating it and performing the inverse operations.

3 is being multiplied by (-2x-4). The inverse operation of multiplication is division. Divide both sides of the inequality by 3.

[tex]\frac {3(-2x-4)}{3} > \frac{18}{3}[/tex]

[tex](-2x-4) > \frac{18}{3}[/tex]

[tex]-2x-4 > 6[/tex]

4 is being subtracted from -2x. The inverse operation of subtraction is addition. Add 4 to both sides of the inequality.

[tex]-2x-4+4 > 6+4 \\[/tex]

[tex]-2x > 10[/tex]

x is being multiplied by -2. The inverse operation of multiplication is division. Divide both sides by -2.

[tex]\frac {-2x}{-2} > \frac {10}{-2}[/tex]

[tex]x> \frac {10}{-2}[/tex]

Since we divided by a negative number, the inequality sign must be flipped.

[tex]x< \frac{10}{-2}[/tex]

[tex]x < -5[/tex]

A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L

Answers

Answer:

Step-by-step explanation:

11L - 42 = 4L

       7L = 42

         L = 6

8g-f g=-1 f=4 Please show work I have no clue how to do it

Answers

hope it help u and good luck

i dont get it PLEASEE I NEED HELP

Answers

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D) after applying the distributive property, this evaluates to be 9y + 27 and due to the commutative property is the same as 27 + 9y

A) 9y + 9 ≠ 6y + 6

B) 9y + 9 ≠ 9y + 6

C) 9y + 27 ≠ 12 + 9y

en.
If the graph is reflected over the x-axis, what is the
domain of the function?
all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
O all real numbers less than or equal to -2

Answers

Answer:

Step-by-step explanation:

Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image

The domain of the function are all real numbers greater than or equal to 0.

What is domain and range of a function?

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

If the graph is reflected over the x-axis, then we need to find domain of the function.

Domain means all the x values on the graph. The x values  that you can literally see on the graph and for what you can't see it's all the x values  you can put into the equation...for this graph.

when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.

So the y values  (range) are VERY different on the graph and its reflection.

Therefore, The domain of the function are all real numbers greater than or equal to 0.

Learn more about appropriate domain here:

https://brainly.com/question/20073127

#SPJ2

anyone willing to help??​

Answers

ANSWER: C. 7 + 0 = 7

The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second
angle measures (4x + 7)º, express the measure of the third angle in terms of x. Simplify the
expression.
.....

Answers

Answer:

-5x+173

Step-by-step explanation:

x+4x+7      (sum of the 2 angles that you know)

5x+7

180-5x+7

-5x+173

Harold bought 3 points of red apples and 4.2 pounds of green apples from a grocery store, where both kinds of apple are 1.75 a pound. How much did Harold spend on apples?

Answers

Answer:

12.6

Step-by-step explanation:

total weight of apples = 3+ 4.2

= 7.2 pounds

total money spent on apples = 1.75 × 7.2

= $12.6

Answer:

12.6

Step-by-step explanation:

he had 3 points of red apples and 4.2 pounds of green apple and 1.75 pounds so he spend 12.6

WILL GIVE BRAINLIEST!

Answers

Answer:

425

Step-by-step explanation:

225/24 then multiply the answer by 40

What is the constant of proportionality in the following equation?

y = 5x + 0

Answers

Answer:

5

Step-by-step explanation:

y is always 5 times greater than x

In your own words, describe the one thing that makes adding decimals different than adding whole numbers. Why is this important

Answers

Answer:

Step-by-step explanation:

One difference is that when adding decimals you have to be aware if you have to move it or is the numbers are lined up,while whole numbers you just add them with no worries just making sure your adding the number rights and getting the right answer .

We've learned that adding and subtracting decimal numbers, numbers with a decimal point, is just like adding and subtracting whole numbers. The only difference is that we line up the numbers according to the decimal point. For addition, it doesn't matter which number goes on the bottom.

How many servings are there in an 8-pound roast, if the suggested
serving is 2/3 pound?

Answers

an 8 pound roast can feed 7-8 adults

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
What is the expression in factored form?

2x^2 + 16x + 24

Answers

Solution : 2(+2)(+6)

Explanation : First, look for the common factor; use the sum-product pattern, then for the common factor from the two pairs, lastly, rewrite in factored form.

From 36 to 48 what is the percent change? Plz this is sooooo confusing

Answers

Answer:

33.33

Step-by-step explanation:

(48-36):36*100

(48:36-1)*100

133.33333333333-100 = 33.33

WORTH 50 POINT + BRAINLIEST FOR GOOD ANSWER!!

Bob was accused of stealing chocolate from a chocolate factory, and was put on criminal trial in the state of Pennsylvania. If Bob were convicted, to which higher court could he appeal?

A. State court of appeals
B. Supreme Court of the United States
C. Federal appellate court
D. Bob is constitutionally protected from a second trial

BTW reason the subject ios math is because no one is helping me when I put other subject. :(

Answers

Answer:

. Bob is constitutionally protected from a second trial like its not possible that person who steals choclate get in to the jail

Answer:

i believe that it is d

Step-by-step explanation:

becuase if hes convicted of the crime he doesn't have to be on trial for it again

Jaxon Rollison
10 of 1410 of 14 Items









Question
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.

What was the total amount of her sales for the week?

Answers

Answer:

6200

Step-by-step explanation:

first find how much she would make purely based on hours worked:

8x40 = 320 dollars

next subtract this from total on her paycheck so 692-320 is 372

we know that 372 is 6% of a number so...

[tex]\frac{6}{100}[/tex] x = 372

[tex]\frac{6x}{100}[/tex] = 372

6x= 37200(100)

x=6200 $ divide by 6

so she sold $6200 worth of merchandise to earn $372 of commission

Is 14,015,289 divisible by 8?​

Answers

Answer:

yes but there will be a decimal

Step-by-step explanation:

Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}[/tex]

The answer is 5/9 as you can see. 5/9 = 20 inches each.

1 yard = 36 inches

(5/9 * 36)  = 5 * 4 = 20 inches.

Answer:

5/9

Step-by-step explanation:

I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser

So what I did was multiply the 3 by the diviser(3) and got 9

This left me with 5/9

Draw the image of AABC under a translation by 3 units to the left and 3 units down

Answers

this is an answer if u have somethin better go for it

Find the missing number in this proportion.


7 =2/4

Answers

Answer:

So in between the 2 and the / there is an 8

Step-by-step explanation:

Because 28/4=7

Solve the proportion. x/6 = 20/24

Answers

X/6 = 20/24

Cross multiply:

24x = 120

Divide both sides by 24

X = 5

Answer: x = 5

Please help me! Im a little bit stumped!

Answers

Answer:

2x+34=4x+20

14=2x

x=7

Step-by-step explanation:

So the answer is 7

Answer:

some bedmas laws you have to use

first do the 4(x+5) since its distubutive

you get 2x + 34 = 4x + 20 normally i like to keep x positive so i dont have to divide by -1 at the end so subtract 5 to the other side qnd subtract 2x to the other side and you get

2x= 14

x = 7 is the answer

Justin has ridden 34 miles of a bike course. The course is 40 miles long. What percentage of the course has Justin ridden so far?

Answers

Answer:

85%

Step-by-step explanation:

Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.

If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:

0.85 * 100 = 85%


What is the sum of £4(0.5) "1?
n=1
O S=1.5
OS = 2
O S = 4.5
O S= 8

Answers

B. 2 …………………………,.,,,,,.,.,.,.,.,,,.,

BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D. 10 adults

Answers

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults

two vectors a and b are inclined at a angle of 60° with each other. its resultant makes angle of 45° with a and value of resultant is 2 sqrt 2 . find the component​

Answers

Answer:

[tex]\blue{\rule{100pt}{999999pt}}[/tex] [tex]\blue{\rule{100pt}{999999pt}}[/tex]

Carlos is at the store buying pencils. There is a package with 4 pencils that
costs $5 or a package with 5 pencils that costs $6. Which package is the
better buy?
A. The $6 package, because each pencil costs $1.20.
B. The $6 package, because each pencil costs $0.83.
C. The $5 package, because each pencil costs $1.25.
D. The $5 package, because each pencil costs $0.80.

Answers

Answer:

The best answer would be A. because 6 divided by 5 is 1.20. Pls give me brainliest because i am trying to rank up.

Step-by-step explanation:


6. Give examples of methods to safeguard inventory.


Answers

Answer:

1. Security Technology. ...

2. Security Personnel. ...

3. Inventory Audits. ...

4. Just-in-Time Inventory.

Step-by-step explanation:

Reviewing a few examples of safeguarding inventory can shed light on common inventory security methodologies, helping you to implement the ideal inventory safeguards for your business.

Security Technology. ...

Security Personnel. ...

Inventory Audits. ...

Just-in-Time Inventory.

Will mark as brainliest if answer is correct
Which describes the graph of y=(x-4)^2-1?

A. Opens down with a vertex at (-4,-1)

B. Opens up with a vertex at (-4,-1)

C. Opens up with a vertex at (4,-1)

D. Opens down with a vertex at (4,-1)​

Answers

Answer:

B

Step-by-step explanation:

The term in the () is usually the x coordinate, and the last term (-1) is usually the y coordinate.

Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x represent the number of days Terry practices, and let y represent the number of minutes he practices. Write an equation that could be used to represent this relationship.

Answers

Answer:

90

Step-by-step explanation:

390 ( 40; 6 )

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