Write the equation of the line that passes through the points (-3,-8) and (6,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer 1

Answer:

The equation in point-slope form is: [tex]\mathbf{y+8= \frac{4}{9}(x+3)}[/tex]

Step-by-step explanation:

Write the equation of the line that passes through the points (-3,-8) and (6,-4)

The point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

Where m is slope and x₁ and y₁ are the points given

Finding Slope

Slope can be found of given points using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=-3, y_1=-8, x_2=6 \ and \ y_2=-4[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-4-(-8)}{6-(-3)}\\Slope=\frac{-4+8}{6+3}\\Slope=\frac{4}{9}[/tex]

So, slope m = 4/9

Using point (-3,-8) and slope m = 4/9 the equation is:

[tex]y-y_1=m(x-x_1)\\y-(-8)=\frac{4}{9}(x-(-3))\\y+8= \frac{4}{9}(x+3)\\[/tex]

So, the equation in point-slope form is: [tex]\mathbf{y+8= \frac{4}{9}(x+3)}[/tex]


Related Questions

Choose whether the expression is a result of multiplying
conjugates together, squaring binomials, or neither.
25c^2 + 55c + 30
-multiplying conjugates
-squaring binomials
-neither
-both

Answers

Answer:

neither

Step-by-step explanation:

Take out 5 as a common factor. It will be easier to look at.

5(5c^2 + 11c + 6)

5(5C +6 )(c + 1 )

Now you can put the 5 inside.

(25c + 30)(c + 1) is one answer.

(5c + 6)(5c + 5) is another.

The answer is multiplying binomials. There is nothing that that is squared and the answers are not conjugates. They are two binomials multiplied together.

PLS HELP FIRST TO ANSWER GETS BRAINLEST

Al has 3 pair of shorts, 4 shirts, and 3 pair of sneakers. How many different outfits could he make?

Answers

Answer:

24

multiply them

Step-by-step explanation:

1s-1t-1n

1s-2t-1n

1s-3t-1n

1s-4t-1n

1s-1t-2n

1s-1t-3n

2s-1t-1n

2s-2t-1n

2s-3t-1n

2s-4t-1n

2s-1t-2n

2s-1t-3n

3s-1t-1n

3s-2t-1n

3s-3t-1n

3s-4t-1n

3s-1t-2n

3s-1t-3n

The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.050.05 level that the drug stays in the system for more than 340340 minutes. After performing a hypothesis test, she decides to reject the null hypothesis. What is the conclusion

Answers

Answer:

There is significant evidence at 0.05

Step-by-step explanation:

Given that:

After performing hypothesis., with confidence level being α = 0.05 ; The researcher decides to reject the Null. The conclusion will be ;

There is significant evidence to reject the Null at confidence level of 0.05

HELP PLEASE whats the answer giving brainliest math btw lol

Answers

Answer:

The person above or below is correct.

Step-by-step explanation:

Can I have Brainliest?

**Help Fast Please!!**
Solve by completing the Square or Using the Quadratic Formula.
X^2+7x+3=0
Show all work (All steps for solving and simplifying) for credit.

Answers

Answer:

looooooooooooooollll

Step-by-step explanation:

is the incenter always, never, or sometimes inside the triangle

Answers

Answer:

Always

Step-by-step explanation:

Answer: Always

the incenter is always inside the triangle

Step-by-step explanation:

The ratio of three numbers is 4 : 5 : 3. The sum of the numbers is 54. List the numbers in ratio form.

Answers

Answer:

13.5 : 18 : 22.5.

Step-by-step explanation:

let the numbers be 3x , 4x and 5x

3x+ 4x + 5x = 54

12x = 54

x = 4.5

so the numbers are 3*4.5, 4 * 4.5 and 5 * 4.5

= 13.5, 18 and 22.5.

The list of the numbers in ratio form is 18 : 22.5 : 13.5

Given the ratio of three numbers as 4 : 5 : 3

Total ratio = 4 + 5 + 3

Total ratio = 12

If the sum of the numbers is 54.

For the ratio of 4:

= 4/12 * 54

= 1/3 * 54

= 18

For the ratio of 5:

= 5/12 * 54

= 270/12

= 22.5

For the ratio of 3:

= 3/12 * 54

= 1/4 * 54

= 13.5

Hence the list of the numbers in ratio form is 18 : 22.5 : 13.5

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Pls helppppppppoppppppp

Answers

Answer:

H. 3[tex]\frac{3}{4}[/tex]feet

Step-by-step explanation:

Length of scale drawing = [tex]\frac{3}{12}[/tex] × 15feet

                                        = 3[tex]\frac{3}{4}[/tex]feet

can you please help me with this question and whoever gives me the right answer will be called brainliest ​

Answers

Answer:

! 2 red cards !

Step-by-step explanation:

Sia draws blue cards for each of her 3 turns: 4 • 3= 12

Sia draws red cards and ends up back at 0: 6 • 2 = 12

12 - 12 = 0

Sia drew 2 red cards since 6 • 2 = 12.

1: 4/15÷2/3



2: Andy used1/6of a can of paint to cover1/2of a wall.

How much of the can of paint did Andy use to paint the whole wall?

Express your answer in simplest form.




1/3

1/8

1/12

1/2
3: A company bought a total of 4 /12feet of cable to connect 3 computers to the wall outlet. Each computer needs the same amount of cable.

How many feet of cable are needed to connect each computer?

Express your answer in simplest form.


1 1/3ft

1/2ft

1 1/2ft

1/3ft

4:Jenny has a 57 3/4kg bag of dog food. Her dog eats 5 1/4kg of food each week.



How many weeks will the bag of dog food last?




10 3/4 weeks

11 weeks

18 3/8 weeks

63 weeks

FIRST ONE TO AWNSER GET BRAIN AND YOU GET 50 POINTS
plz help)

Answers

Answer:

in comments under the question

Solve for q.
9/18 = 5
q =

Answers

Answer: 90

Step-by-step explanation: Multiply each side by 18.

q is 90 :D :D :D Hope this helps

Help me plz I need lots of help

Answers

Answer:

18x + 16

Step-by-step explanation:

(Not simplest form) 9x + 9x + 8 + 8

To get simplest form, just add the terms and integers together, which in this case would give you 18x + 16.

Express 8 as a fraction.​

Answers

Answer:

8/1

Step-by-step explanation:

You just have to put a one for the denominator for any whole number you want to make a fraction.

Please mark me as brainliest.

30 POINTS, BRAINLIEST, PLEASE HAALLPPP TT^TT
PLEASE don`t respond without an answer!
A basketball is thrown upward from a height of 1.8 m at a velocity of 12 m/s. How long until it reaches the ground?
(Recall: h(t)=-4.9t^2-v_0 t+h_0, where v_0 is initial velocity and h_0 is initial height.)

Answers

It's a pretty simple suvat linear projectile motion question, using the following equation and plugging in your values it's a pretty trivial calculation.

V^2=U^2+2*a*x

V=0 (as it is at max height)

U=30ms^-1 (initial speed)

a=-g /-9.8ms^-2 (as it is moving against gravity)

x is the variable you want to calculate (height)

0=30^2+2*(-9.8)*x

x=-30^2/2*-9.8

x=45.92m

With these questions it's best to just memorise the suvat equations and either draw or imagine the actions involved, that was you can tell what piece of given information translates to which variable. For example; I know that I am looking for max height, so when a ball is at its highest point, it can't be moving up anymore (thus V = 0). I also know that it is moving upwards against gravity, so gravity will be decelerating the ball (therefore a=-g). In a paper, it may as for assumptions with this question, a good answer would be no air resistance or movement due to any other external forces. I hope I helped :)

Mrs. Milavec had to take out a loan, to pay for Oreos. She borrowed $2,000 at 8% for 2 years. What is the interest Mrs. Milavec will have to pay?

Answers

Answer:

$320.00

Step-by-step explanation:

Find the slope of each line using tables . try using the slope formula

Answers

Answer:

Step-by-step explanation:

(-3, 4) (-1, 9)

(9-4)/(-1+3) = 5/2

On a blueprint, the length of a wall is 5 centimeters. If the actual length of the wall is 15 feet, what is the scale of the blueprint

Answers

Answer:

1 cm = 3 feet.

Step-by-step explanation:

Divide 15 by 5 to get 3; on the blueprint, every centimeter represents 3 feet.

The scale of scale factor of the blueprint is 1 cm = 3 feet.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, On a blueprint, the length of a wall is 5 centimeters and the actual length of the wall is 15 feet.

Therefore, The scale factor of the blueprint is,

= (5/15).

= 1/5.

So, It can be written as 1 cm = 3 feet.

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$9: 4 visitors - $18 : 8 visitors proportion or non proportion

Answers

Answer:

That would be proportionate

Step-by-step explanation:

Just compare the two ratios

9/4

18/8

they are the same if you find the lcm of both

18/8

18/8

which one is true about this ?

Answers

Answer:

b is the correct answer I think

Try guessing b?
sorry if it isn’t correct.

what is 4+n/3=2


the slash is a fraction

Answers

Answer:

n = -6

Step-by-step explanation:

4 + [tex]\frac{n}{3}[/tex] = 2

[tex]\frac{n}{3}[/tex] = -2

n = -6

Answer:

n = -6

Step-by-step explanation:

4 + n/3 = 2

subtract 4 from both sides

n/3 = 2 -4

n/3 = -2

multiply both sides by 3

n = 3(-2)

n = -6

Explain how to get the answer please

Answers

Answer:

y=8.50x+0.25

Step-by-step explanation:

She/he starts off with 8.50 and throughout the week she can earn 0.25 per joke. We don't know how many times a joke is made so it would be an x.

Answer:     b  8.50+0.25 divoide it by 0.25 th3n do the eqathion back words

There is a 0.9989 probability that a randomly selected 29-year-old male lives through the year. A life insurance company charges $197 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit.

Required:
a. From the perspective of the 29-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
b. If the 29-year-old male purchases the policy, what is his expected value?
c. Can the insurance company expect to make a profit from many such policies? Why?

Answers

a. Surviving the year: $197; Not surviving the year: $100,000

b. Expected value: $306.78

c. The insurance company can expect to make $86.49 in profit per policy.

We have,

a.

From the perspective of the 29-year-old male:

Surviving the year:

The monetary value is the cost of the insurance premium, which is $197.

Not surviving the year:

The monetary value is the death benefit paid out by the policy, which is $100,000.

b.

To calculate the expected value for the 29-year-old male, multiply the probability of each event by its corresponding monetary value and sum them up:

Expected Value = (Probability of Surviving * Monetary Value of Surviving) + (Probability of Not Surviving * Monetary Value of Not Surviving)

= (0.9989 * $197) + (0.0011 * $100,000)

= $306.78

c.

Expected Premium Revenue

= Probability of Surviving * Premium Amount

= 0.9989 * $197

≈ $196.49

Expected Payout

= Probability of Not Surviving * Death Benefit

= 0.0011 * $100,000

≈ $110

Profitability

= Expected Premium Revenue - Expected Payout

= $196.49 - $110

≈ $86.49

Since the expected premium revenue exceeds the expected payout, the insurance company can expect to make a profit from many such policies.

In this scenario, the insurance company can expect to make $86.49 in profit per policy.

Therefore,

a. Surviving the year: $197; Not surviving the year: $100,000

b. Expected value: $306.78

c. The insurance company can expect to make $86.49 in profit per policy.

Learn more about probability here:

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a. From the perspective of the 29-year-old male:

Surviving the year: The cost of insurance is $197.

Not surviving the year: The policy pays out a death benefit of $100,000.

b. The 29-year-old male's expected value is -$86.8013, indicating a potential loss.

c. Yes, the insurance company can expect to make a profit. The expected value is negative, meaning the company collects more in premiums than it pays out on average.

a. From the perspective of the 29-year-old male:

Surviving the year: The cost of insuring that the male will live through the year is $197.

Not surviving the year: The policy pays out a death benefit of $100,000.

b. To calculate the expected value for the 29-year-old male, we need to consider the probabilities of each event and their corresponding monetary values.

Expected Value = (Probability of surviving * Monetary value of surviving) + (Probability of not surviving * Monetary value of not surviving)

Probability of surviving = 0.9989

Monetary value of surviving = -$197 (since this represents the cost of insurance)

Probability of not surviving = 1 - Probability of surviving = 1 - 0.9989 = 0.0011

Monetary value of not surviving = $100,000

Expected Value = (0.9989 * -$197) + (0.0011 * $100,000)

Expected Value = -$196.8013 + $110

Expected Value = -$86.8013

Therefore, the expected value for the 29-year-old male is approximately -$86.8013.

c. The insurance company can expect to make a profit from many such policies because the expected value is negative (-$86.8013). The cost of insuring the male is $197, but the expected value is significantly less. This means that on average, the insurance company will collect more in premiums than it pays out in claims, resulting in a profit. The small probability of not surviving the year and the high payout of $100,000 contribute to the insurance company's ability to make a profit by spreading the risk among many policyholders.

for such more question on expected value

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What is the answers to this​

Answers

It’s D 108 I hope it helped x
i think it will be 62. 73+45= 118-180=62

My homework says, "Does the graph represent a proportional relationship? Why or why not? You MUST explain to get credit."

Answers

Answer:

No, the graph does not represent a proportional relationship. It is a straight line, but it does not intersect the point (0, 0). ... It's not proportional because the line does not cross through the origin. Therefore the ratio of x to y will be different for two different points on the line.

Plz help meeeeeeee plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

b, c and d

Step-by-step explanation:

luis wrote a story the number of pages in his story has 17 tens and 9 ones he wrote the number 791 to show the number of pages it luis correct if so explain why?

Answers

Answer:

no he is not

Step-by-step explanation:

17 tens + 9 ones

17(10) + 9(1)

170 + 9

179

he wrote 791 but the correct answer should be 179

Owen and his children went into a restaurant where they sell hotdogs for $4 each and tacos for $2.50 each. Owen has $60 to spend and must buy a minimum of 18 hotdogs and tacos altogether. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Anser:

5 hotdogs and 16 tacos

Step-by-step explanation:

5 x 4 = $20

2.50 x 16 = $40

20 + 40 = $60

which equation represents a line that is parallel to y=-5/4x+2

Answers

Answer:

y=-5/4x+4

Step-by-step explanation:

as long as the slope is the same and you have a different starting point the lines will be parallel.

At the garden shop, each small tree costs $125 and each large tree costs $275.

How much will 3 small trees and 1 large tree cost?

Answers

If one small tree costs $125 then you will times that by 3 then add $275 your answer should be $650

8m + 5 + 13m – 5 = 42. What is the value of M?

Answers

Answer:

m=2

Step-by-step explanation:

that is the answer for m

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