What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced form.

Answers

Answer 1

Answer:

The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

∵ The line passes through the points (-3, -2) and (3, 6)

∴ x1 = -3 and x2 = 3

∴ y1 = -2 and y2 = 6

→ Use the rule of m to find it

∵ [tex]m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}[/tex]

→ Simplify it by dividing up and down by 2

∴ m = [tex]\frac{4}{3}[/tex]

→ Substitute its value in the form of the equation above

∴ y = [tex]\frac{4}{3}[/tex] x + b

→ To find b substitute x and y by x1 and y1

∴ -2 = [tex]\frac{4}{3}[/tex] (-3) + b

∴ -2 = -4 + b

→ Add 4 to both sides

∴ -2 + 4 = -4 + 4 + b

∴ 2 = b

→ Substitute it in the form of the equation

∴ y = [tex]\frac{4}{3}[/tex] x + 2

The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2


Related Questions

which of the lines below is parallel to y = 5x + 7 ?

Answers

Any line with a slope of 5 is parallel, because parallel lines have the same slope.

Determine the y-intercept of the
equation below. Write your answer as
an ordered pair.
5x + 8y = 40

Answers

The answer would be (0,5)

In which situation do the quantities combine to make 0?

A-Juan spent $20. The next day, he earned $10 per hour for 2 1/2 hours
of babysitting

B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.


C-The predicted high temperature for a winter day is 7°C and the predicted low temperature is -7°C.


D- A deep-sea diver descends 15 meters, pauses, and then descends another
15 meters.​

Answers

Answer:

B- Erica deposited $75 into her savings account. She withdrew $75 the

following week.

Step-by-step explanation:

Please help I’ll mark you as brainliest if correct

What is the perimeter of the trapezoid? Round to the nearest hundredth.

Answers

25.66 should be correct! have a great day!

Is each pair of equations equivalent? explain.
4y+2x=-7
2y-6x=8

Answers

No, because 4y+2x=-7 in slope intercept form is y=-1/2x-7/4 and 2y-6x=8 is y=3x+4
Hope this helps if so pls mark brainliest

passes through (-6,-1) and is parallel to y=-2/3x+1​

Answers

answer: y = -2/3x - 5

explanation: parallel slopes are the same, so the new equation would have a slope of -2/3. now, we have to find the y-intercept. to do this, plug in the x and y values for our new equation. we know that the standard form is y=mx+b, where b is the y-intercept.
-1 = -2/3(-6) + b
multiply
-1 = 4 + b
subtract 4 on both sides
-5 = b
so our new equation is
y = -2/3x - 5
you can check by plugging in the x-value (-6)
y= -2/3(-6) - 5
to get
y= -1
which makes this correct

what are the images of F and H​

Answers

what? there are no images, i have no idea what you are saying

Gavin doubles it then adds 15 to get the answer 44.2 what was the original number

Answers

Answer:

14.6

Step-by-step explanation:

44.2 - 15 = 29.2

29.2 / 2 = 14.6

Answer:

14.6

Step-by-step explanation:

If you take 44.2 and subtract 15, you get 29.2. You would then just divide 29.2 by 2 to get the original number. You're literally doing the equation backward.

The amount of money an employee earns is proportional to the number of hours worked. If the employee works 40 hours and earns $1,100, how much does the employee earn per hour?

Answers

Answer: $27.5

Step-by-step explanation:

From the question, we are informed that employee works 40 hours and earns $1,100, to calculate the amount that the employee earn per hour will be:

Amount earned = $1100

Number of hours worked = 40 hours

Amount earned per hour = $1100/40 = $27.5

if there are 8 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made?

Answers

Answer:

1:6

Step-by-step explanation:

8:48 the ratio

48/8 = 6  First you divide in this case both sides can be divided by 8, giving the answer in the most simplest form.

whats the slope intercept form of y=3x-2

Answers

Slope:3
Y intercept: (0,-2)

whats the rate of change?​

Answers

Every time x is added by one, y is added by three.

Help pleaseI don’t understand

Answers

Answer:

Angle 3 is 65

Angle 8 is 115

Step-by-step explanation:

Angle 3 is 65
Angle 8 is 315 I think

If f(x) = 3x + 2, then find the value of x such that f(x) = -4.

Answers

Answer:

See Below

Step-by-step explanation:

Solve by substituting

-4 = 3x + 2

-2          -2

-6 = 3x

3x/3 = -6/3

x = -2

Answer:

x = -2

Step-by-step explanation:

So we are given the function f(x) = 3x + 2 and we are asked to find the value of x that makes f(x) = -4. To do this, we can replace f(x) with -4 in the given function and solve for x.

-4 = 3x + 2

Swap sides.

3x + 2 = -4

Subtract 2 from both sides.

3x = -6

Divide both sides by 3.

x = -2

So we have found that x = -2 when f(x) = -4. This means that when x = -2, f(x) = -4.

I hope you find my answer and explanation to be helpful. Happy studying.

Josh swam 25 laps in 50 minutes. At that rate, how long will it take to swim 35 laps?

Answers

Answer:

70 Minutes

Step-by-step explanation:

Divide 25 into 50 to get 2 and then multiply 2 x 35 to get 70

it will take Josh 70 minutes to swim 35 laps

Modeling Task 1
A cell phone company charges a monthly rate of $14 and $0.25 a minute per call.
Judy's total cell phone bill is $50. How many minutes, m, was Judy charged for?
Make sure to define your variable, write an equation, solve the equation, and
write a sentence.

Answers

Answer:

144 minutes

Step-by-step explanation:

The equation will be 14 + 0.25x = 50

50 -  14 = 36

0.25x = 36

36/0.25 = 144 minutes

What is the slope of a line perpendicular to the line whose equation is
3x – 12y = 216. Fully reduce your answer.
=

Answers

X=72 Is the answer for your question

Answer:

Step-by-step explanation:

-4

Name 1 and 2 another name

Answers

Answer:

triangle, square, circle, pentagon, and horcux.

jk whats the question

Step-by-step explanation:

Hey there!

Answer:

One, two, three, delta, pi, hexagon, octagon, pentagram....

Step-by-step explanation:

Name another name of what??

Your question doesn't make a lot of sense but I thought that maybe I could share a few really cool shape and number names that maybe you didn't know!

Hope you enjoy!

:D

A yellowfin tuna weighs about 380 pounds. A bluefin tuna weighs 620 about pounds. If one fish of each species were caught per​ day, about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a​ week? Solve the problem two different ways.

Answers

Answer:

1680 pounds

Step-by-step explanation:

Given that :

Weight of yellow fin tuna = 380 pounds

Weight of bluefin tuna = 620 pounds

If one fish of each species were caught per day

about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a​ week?

Total pound of bluefin tuna caught in a week:

7 * 620 = 4340

Total pound of yellow tuna caught in a week:

7 * 380 = 2660

(4340 - 2660) = 1680 pounds

If angle J and angle K are vertical angles, J and K are congruent.

Answers

Answer:

Yes they are congruent

Step-by-step explanation:

Hope this helps!!!!!!!

Yes they are congruent

Ten is no less then a number q multiplied by 6.

Answers

Answer:

10 > 6q

Step-by-step explanation:

Assuming you are asking what this word problem looks like as an equation, then it would be:

10 > 6q

what is the price of 29.99 after a 33 1/3 markdown?

Answers

Answer:

$29.99*0.6667%= $19.99= markdown price

Step-by-step explanation:

Mkae me the brainlist plssss

Answer:

$29.99*0.6667%= $19.99= markdown price

Step-by-step explanation:

p−1=5p+3p−8
Anyone help. Its due at 11:59 pm :( please help

Answers

Answer:

p = 1

Step-by-step explanation:

p - 1 = 5p + 3p - 8(collect like terms)

p - 1 = 8p - 8(add 1 on each side)

p = 8p - 7(subtract 8p on each side)

-7p = -7 (divide by -7)

p = 1

If the ratio of boys to girls in Mr. Mata’s class is exactly 2 to 3, then the class could have:

Answers

Answer:

Please your question isn't complete.

Answer:

20 boys and 30 girls

Step-by-step explanation:

Hope this helps!!!

Write an equation that represents the scenario: Taylor’s Tow Truck charges $30 to pick up the car and then an additional 2.50 per mile driven to tow your car.

Answers

Answer:

30+2.50m=t

Step-by-step explanation:

where m represents the amount of miles driven and t represents the total of money owed

can i get brainliest please?

Answer:

joker is not see the following questions and the answers will come up on your site

What is the slope of the line?

Answers

That’s a positive slope 3,1

Gina's family goes to a theme park. The family pays a $12 fee to park their car and buys admission tickets for all 5 family members. Her family pays a total of $132 . Which equation can be used to solve for t , the price of one admission ticket?
A.
5(12+t)=132
B.
5t+12=132
C.
5(12)+t=132
D.
5+12+t=132

Answers

Answer:

B

Step-by-step explanation:

5t + 12 = 132

We know the price of parking and we know what they paid in total. There are 5 members with the unknown price.

Answer:

B

Step-by-step explanation:

You're trying to find how much a ticket, which is t. you need 5 tickets for the family, plus the twelve dollar fee which is there anyways for the car, and it add up to 132. subtract 12 from 132 and you get 120. 120 divided by 5 is 24. so 24 dollars for a ticket, but the equation you would need is 5t+12=132

What is the value of (-5)^4?

Answers

Answer:

-20

Step-by-step explanation:

Answer:

-625

Step-by-step explanation:

-5× -5 = 25

25 × 25= 625

Morgan is in the business of manufacturing phones. She pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.

Answers

Divide 200 and 400 then bam- your answer is there

A linear equation is an algebraic equation of the form [tex]y=mx+b[/tex]. , where m is the slope and b is the y-intercept.

Total cost represented by equation, [tex]C=200x+400[/tex]

Let number of phones is represented by x .

Since, She pays a cost of $200 per phone produced for materials and labor

For x phones, she will pay = 200x

Since, she also pays daily fixed cost of $400 to rent the building and equipment

Therefore, total cost is represented by equation shown below,

                           [tex]C=200x+400[/tex]

Learn more:

https://brainly.com/question/20335698

39.99+0.45x=44.99+0.4x​

Answers

Answer:

x=100

Step-by-step explanation:

39.99+0.45x=44.99+0.4x​

0.45x=5+0.4x    

0.05x=5

x=100

Other Questions
Two doves upon the selfsame branch, Two lilies on a single stem, Two butterflies upon one flower: O happy they who look on them. Who look upon them hand in hand Flushed in the rosy summer light; Who look upon them hand in hand And never give a thought to night. "Song," Christina Rossetti Which characteristics identify this as a fixed verse poem? Check all that apply. stanzas with the same number of lines an absence of rhymes a pattern of rhymes very different line lengths regular rhythm created by a pattern of stressed and unstressed syllables 1.What personality characteristics did Jackson display during the Petticoat Affair2.Who was able to vote in the United States prior to Jacksons presidency Cassie finishes softball practice at 3:52 p.m. after practicing for 40 minutes.What time did cassies practice start? Match the terms1.the total energy of any closed system, including all internal kinetic and potential energy of the system2.a measure of the average kinetic energy of particles in an object3.something that flows into a substance Terms- TemperatureHeatThermal Energy need help asap thanks !! put 34,100,000 in scientific notation an expression equivalent to 8(2s5)4 (15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girls? (Do not include any words in your answer.) Your answer At the beginning of 2020, Pronghorn Company acquired a mine for $1,732,800. Of this amount, $112,000 was ascribed to the land value and the remaining portion to the minerals in the mine. Surveys conducted by geologists have indicated that approximately 11,600,000 units of ore appear to be in the mine. Pronghorn incurred $190,400 of development costs associated with this mine prior to any extraction of minerals. It also determined that the fair value of its obligation to prepare the land for an alternative use when all of the mineral has been removed was $44,800. During 2020, 2,718,000 units of ore were extracted and 2,310,000 of these units were sold.Required:a. Compute the total amount of depletion for 2020.b. Compute the amount that is charged as an expense for 2014 for the cost of the minerals sold during 2020. 1+1+1+1+1+1+1+1 / 5x10-2+60=? In a lab a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratioof the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?1.31:41.51.6DoneIntro Prime factorization of 60? 6, or 15,or 3,or 9 please help!! What is illegal for young people but legal for adults in other cultures? please answer fast (0,3);slope=-2 Describe an Oligarchy. Which countries have this type of government? Why did French government order their ships to attackAmerican trade ships?A. The United States had negotiated a treaty with Britain.B. The United States refused to pay France a $250,000bribe.wC. The United States had declared war on France.D. The United States refused to send an Americanambassador to France.Please hurry Select the option that best completes this simple sentence....are my niece Lily's hobbies.Skating, singing and dancingTo sing, skating and horse ridingTo sing, to skate and riding horsesTo skate, to sing and also horse riding what is the rule for the reflection? Theof a composition should reflect the mood of the piece.titleO melodyO rhythmo all of the above I WILL GIVE U BRAINLEST what has hands but cant clap