Use the labled point to write a point slope form for the line

Use The Labled Point To Write A Point Slope Form For The Line

Answers

Answer 1

Answer:

The point-slope form of the line is y - 3 = -2(x + 2)

Step-by-step explanation:

The point-slope form of the equation of a line is

y - y1 = m(x - x1), where

(x1, y1) is a point on the linem is the slope of the line

The rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line.

Let us use these rules to solve the question

∵ (-2, 3) and (0, -1) are two points on the line

x1 = -2 and y1 = 3

∴ x2 = 0 and y2 = -1

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-1-3}{0--2}=\frac{-4}{0+2}=\frac{-4}{2}=-2[/tex]

m = -2

→ Substitute the value of m and point (-2, 3) in the form of the

   equation above

∵ m = -2 and (x1, y1) = (-2, 3)

∴ y - 3 = -2(x - -2)

→ Remember (-)(-) = (+)

∴ y - 3 = -2(x + 2)

The point-slope form of the line is y - 3 = -2(x + 2)


Related Questions


Refer to the table on the previous slide to help answer
the questions.
What is the proportional relationship represented by the
table

Answers

It has a steady line the entire way

Answer:

It has a steady line the entire way

Step-by-step explanation:

In the early part of this century, the drug company, Merck, produced a powerful non- steroidal anti-inflammatory drug (NSAID) known as Vioxx. Vioxx was very effective in reducing pain due to arthritis and, unlike some NSAIDs, did not cause digestive system or liver problems. However, a couple of years after Vioxx was introduced to the market, some independent studies showed a possible connection between NSAIDs and increased risk of heart attack in the elderly. Since many arthritis sufferers (and many Vioxx users) are elderly, these studies were a cause of concern.

To test whether this was the case for Vioxx, Merck conducted a large-scale study in which 3025 randomly selected elderly Vioxx users were put on the drug while 2875 were given a placebo. The volunteers were monitored for 18 months. During this time, 334 of the Vioxx group members and 272 members of the placebo group suffered heart attacks.

Required:
a. Compute by hand a 90% confidence interval for the difference in heart attack risk between Vioxx users and non-Vioxx users (the placebo group.)
b. Interpret the interval. What action does it suggest should be taken regarding Vioxx?

Answers

Answer:

a

[tex]0.0028  < p_1 - p_2  < 0.0288[/tex]

b

The  interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack  and the non-Vioxx users (the placebo group  ) who suffered from heart attack  lie within the interval

The  use of Vioxx drug should be stopped

Step-by-step explanation:

From the question we are told that

   The sample size for Vioxx users is  [tex]n_1 = 3025[/tex]

   The second sample size for placebo is  [tex]n_2 =  2875[/tex]

   The number of Vioxx users that suffered heart attack is  [tex]k  = 334[/tex]

     The number of non-Vioxx users that suffered heart attack is  [tex]g  = 272[/tex]

    Generally the  sample proportion for Vioxx users is mathematically represented as

      [tex]\r p_1 =  \frac{k}{n_1}[/tex]

=>   [tex]\r p_1 =  \frac{334}{3025}[/tex]

=>   [tex]\r p_1 =  0.11041 [/tex]

    Generally the  sample proportion for placebo users is mathematically represented as

       [tex]\r p_2 =  \frac{g}{n_2}[/tex]

=>   [tex]\r p_2 =  \frac{272}{2875}[/tex]

=>   [tex]\r p_2 =  0.09461 [/tex]  

Generally the confidence level is 90% , then the level of significance is  [tex]\alpha =  (100-90)\%[/tex]

=>   [tex]\alpha =  0.10[/tex]

Generally the critical value of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  is  

     [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the standard error is mathematically represented as

      [tex]SE =  \sqrt{\frac{\r p_1 (1- \r p_1)}{n_1} + \frac{\r p_2 (1- \r p_2)}{n_2} }[/tex]

=>  [tex]SE =  \sqrt{\frac{0.11041 (1- 0.11041)}{3025} + \frac{0.09461 (1-0.09461)}{2875} }[/tex]

=>  [tex]SE = 0.0079[/tex]

Generally the margin of error is mathematically represented as

    [tex] E=  Z_{\frac{\alpha }{2} } *  SE[/tex]

=>  [tex] E=  1.645  *  0.0079[/tex]  

=>  [tex] E=  0.013[/tex]  

Generally the 90%  confidence interval is mathematically represented as

     [tex]0.11041 - 0.09461- 0.013 < p_1 - p_2  < 0.11041 - 0.09461+ 0.013 [/tex]

=>       [tex]0.0028  < p_1 - p_2  < 0.0288[/tex]

The  interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack  and the non-Vioxx users (the placebo group  )  lie within the interval

Looking at the interval we see that proportion of Vioxx users who suffered is  more compared to  non-Vioxx users (the placebo group  )[i.e the both limit of the interval is  positive ] hence the  use of Vioxx drug should be stopped

Please answer this as fast as you can.

Answers

156 bins are left over
156 bins for sure....

Write this equation in slope intercept form. -x + y = -10

Answers

Answer:

y=x-10

Step-by-step explanation:

can someone make this for me with a compass but just different colors please

Answers

Answer:

so basically you want a drawing identical to that just with different colours?

I NEED HELP ASP!!!!! 3

Answers

Answer: what answer???

Step-by-step explanation: there's no equation

What is the base 10 representation of 11102?

Answers

Answer:

1.1102 * 10^4

Step-by-step explanation:

11102

= 1.1102 * 10^4

Answer:

14

Step-by-step explanation:

The base two number one one one zero is equal to one times eight, plus one times four, plus one times two, plus zero times one, which simplifies to fourteen.

Susan runs 2 1/2 miles in 0.25 of an hour.what is the unit rate in miles per hour?

Answers

Susan runs 10 miles per hour

Write a slop-intercept equation for a line that passes through (4,0) and (-5,6)

Answers

Answer: -2/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6-0/-5-5

-6/9

-2/3

Answer:

y=-2/3x+10 1/3

Step-by-step explanation:

y=mx+b (m = slope)

(Equation) y2-y1/x2-x1

= 6-0/-5-4

= -6/9

= -2/3

y-y1 = m(x-x1)

y-6 = -2/3 +5

y-6 = 4 1/3

y = 10 1/3

Your grandma pays upfront for you to go on an overnight trip with the school, which costs $340. You make a deal that you’ll give her $25 per month until you pay it all back. How will you pay Grandma?

Answers

Answer:

350

Step-by-step explanation:

pretty easy just dived

You pay $350 to Grandma.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Grandma  pays upfront for you to go on an overnight trip with the school, which costs $340.

And, You make a deal that you’ll give her $25 per month until you pay it all back.

Now,

Let the number of months to pay Granma = x

Then, we can formulate;

$25x = $340

x = 13.6

After rounding,

x = 14

So, We pay 14 months to grandma;

Hence, The cost to pay grandma in 14 months = 14 x $25

                                                                        = $350

Therefore, You pay $350 to Grandma.

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The graph shows the cost for a crate of the flowers Molly is planting in her garden.

What is the cost of 4 crates of flowers?

Answers

Answer:

Little late but its 10

Step-by-step explanation:

Answer:

3 weeks Late my bad, but why let the question go to waste, the answer is 10

(-9)^-2 * (-9)^0 ÷ (-9)^1

Answers

Answer:

Your answer is: 1/80 or -1/729

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

What is the measurement of ABC?
D. 1180
A. 28°
ОО
E. 208°
B. 62°
O c. 90°

Answers

Answer:

118°

Step-by-step explanation:

Line b is a perpendicular bisector so 90°+28°=118°

What is the difference in the range of temperatures recorded last year and the range of temperatures recorded two years ago ? In degrees
What was the modal temperature last year ?
What was the median temperature 2 years ago ?

Answers

explain how crime contributes to social injustices

The difference between the range will be 5.

What is the range?

When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.

Given that last year, the highest value of temperature is 29 and the lowest is 6. After two years the maximum temperature is 25 and the lowest is 7.

The range difference will be calculated as,

Range = ( 29 - 6 ) - ( 25 - 7 )

Range = ( 23 - 18 )

Range = 5

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Question 19 (5 points)
1199
100"
12
88
15
116"
18
Determine the value of x.
OA) 59°
B) 63°
OC) 90°
OD 117°

Answers

Answer:

The value of x is 63° ⇒ B

Step-by-step explanation:

The rule for finding the sum of the interior angles of a polygon with n sides is S = (n - 2) × 180°

In the given figure

There is a polygon with 5 sides

n = 5

∴ S = (5 - 2) × 180°

∴ S = 3 × 180°

S = 540°

→ We have the measure of 4 angles of them    

∵ The sum of the 4 given angles =  119° + 100° + 88° + 116°

∴ The sum of the 4 given angles = 423°

→ To find the 5th angle subtract 423° from 540°

∵ The measure of the fifth angle = 540° - 423°

∴ The measure of the fifth angle = 117°

→ x and 117° are linear pair angles, then their sum is 180°

x + 117° = 180°linear pair angles

→ Subtract 117 from both sides to find x

∴ x + 117 - 117 = 180 - 117

x = 63°

Jen and Nikki are making bracelets to sell at the local market. They determined that each bracelet would have eight beads and two charms. Create 5 ordered pairs (charms, beads) that could be used to graph this relationship

Answers

Answer:

Step-by-step explanation:

Ordered Pair1: (8,2)

2:(8*2,2*2)=(16,4)

3:(8*3,2*3)=(24,6)

4: (8*4,2*4)=(32,8)

5: (8*5,2*5)=(40,10)

A chord in a circle is 16cm long and its perpendicular distance from the centre is 6cm. what is the radius of the circle​

Answers

Answer:

10 cm

Step-by-step explanation:

the perpendicular from centre bisect the chord in equal halves. hence you can use pythagoras therom as

r^2 = 6^2 + 8^2

Let P be a point not on line k Let p be the image of P after a reflection about the line K and let A any point on line k. Determine whether each statement below is true for all points P true for some points P or not true for any points P

Answers

Answer: true false some true

Step-by-step explanation:

Find the midpoint M of the line segment joining the points P= (-7,-8) and Q = (3,2)

Answers

Answer:

(-2, -3)

Step-by-step explanation:

To solve this problem, we use the midpoint formula.

M = [tex]\frac{x1 + x2}{2} , \frac{y1+ y2}{2}[/tex]

Plug your coordinates in:

M = [tex]\frac{-7 + 3}{2} , \frac{-8 + 2}{2}[/tex]

Simplify:

M = [tex]\frac{-4}{2} , \frac{-6}{2}[/tex]

M = (-2,-3)

Lily uses the function f(x)+ 23,000(1.021) X( power) to model the future annual population growth of the city where she lives, Which of the following respresents Lily's estimate population in 8 years
a 3,395
b 23,483
c 27,160
d 187,864

Answers

Answer: The answer is B, 23,483

Step-by-step explanation:

If you multiply 23,000 times 1.021 you get 23,483. Your welcome

The Lily's estimate population in 8 years is 187864.

It is required to find the population in 8 years.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The function f(x)= 23,000(1.021) X( power) to model the future annual population growth of the city.

According to given question we have,

To put x= 8 years

Lily's estimate population in 8 years are

f(x)= 23,000*(1.021) *8

f(x)= 187864

Therefore, the Lily's estimate population in 8 years is 187864.

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The johnsons just moved into their new home and are selecting furniture for the family room

Answers

Question??? Bjdjzjdvhfjdodjfbhc

Englis
Which sets of values belong to the domain and range of a relation?
output values
Domain
Range
values for the independent variable
input values
values for the dependent variable

Answers

Answer:

See below

Step-by-step explanation:

Domain ⇔ Input values ⇔ Values for the independent variableRange ⇔ Output values ⇔ Values for the dependent variable

Three kids are playing tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day, and Bryan plays every sixth day. All of them played at the tennis court today, Wednesday, July 18th. When will all three of them play again on the same day?

Answers

Answer:

They will play again together in 84 days, on October 10, only if it is the year 2029.

Step-by-step explanation:

I used the mode of the least common denominator. Hope this helps!

36. Please help me it’s my last question

Answers

Answer:

7in. in length and 6in. in width.

Step-by-step explanation:

Divide the number of feet by 3.

Solve for x
a)41
b)17
c)19
d)18

Answers

Answer:

18

Step-by-step explanation:

3x+1=55

(alternate angle theorem)

3x=55-1

3x=54

x=54/3

x=18

Answer:

d

Step-by-step explanation:

3x + 1 and 55 are alternate angles and congruent, thus

3x + 1 = 55 ( subtract 1 from both sides )

3x = 54 ( divide both sides by 3 )

x = 18 → d

Rick has a magnet shaped like a right rectangular prism which is 8 cm long, 4 cm wide, and 2 cm high. What is the volume in cubic cm?​

Answers

Answer:

the answer is 64 because you need to multiply all of them together to get the cubic volume. first you multiply 8 x 4 and that leaves you with 32. 32 x 2 is 64 and there are no numbers left to that means 64 is the cubic volume.

What is 4/7 plus 5/28 in simplest form I am not sure

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

To add fractions, they must have common denominators

convert them to common denominators

4/7 × 4/4 = 16/28

now their denominators are the same

16/28 + 5/28

add the numerators

16 + 5 = 21

21/28

Both the numerator and the denominator can be divided by 7

3/4 is the simplest form

What is 20x - 4x + x?

Answers

Answer:

17x

Step-by-step explanation:

Combine terms with like variables. Like terms are terms with the same amount of variables as well as the same variable. Combine their coefficients:

20x - 4x = 16x

16x + (1)x = 17x

17x is your answer.

~

Answer:

17x

Step-by-step explanation:

20x-4x = 16x

16x + x = 17x

17x

The distribution of IQ scores for students at a large university are known to be approximately normally distributed with σ = 15. One student claims that the mean IQ for all students at the university is 100. A. Assuming that the student’s claim is true (that µ = 100), what is the probability of obtaining a simple random sample of 20 students whose mean IQ score is greater than 108. B. Suppose that you actually did collect a simple random sample of 20 students and found their mean IQ score was greater than 108. Would this give you good evidence to suggest that the mean IQ for all students at the school is greater than 100? Explain.

Answers

Answer:

A

The probability of obtaining a simple random sample of 20 students whose mean IQ score is greater than 108 is

    [tex]P(\= X > 108) = 0.0084242[/tex]

B

Comparing the p-value obtained with a low level of significance  (say ∝= 0.01 ) we see that the p-value  is  less than ∝ which implies that the null hypothesis is  rejected hence  we can state that there is sufficient evidence to conclude that the mean IQ for all students at the school is greater than 100

Step-by-step explanation:

From the question we are told that

  The standard deviation is  [tex]\sigma = 15[/tex]

  The population mean is  [tex]\mu = 100[/tex]

  The sample size n  =  20

Generally the standard deviation of the sample mean (standard error ) is mathematically represented as

      [tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]\sigma_{\= x} = \frac{15 }{\sqrt{20} }[/tex]

=>   [tex]\sigma_{\= x} = 3.35[/tex]

Generally the probability of obtaining a simple random sample of 20 students whose mean IQ score is greater than 108 is mathematically represented as

      [tex]P(\= X > 108) = P(\frac{\=X - \mu}{\sigma_{\= x} } > \frac{108 - 100}{3.35} )[/tex]

=>   [tex]P(\= X > 108) = P(Z > \frac{108 - 100}{3.35} )[/tex]

=>   [tex]P(\= X > 108) = P(Z > \frac{108 - 100}{3.35} )[/tex]

=>   [tex]P(\= X > 108) = P(Z >2.39 )[/tex]

From the z-table  

      [tex]P(z > 2.39) = 0.0084242[/tex]

So

      [tex]P(\= X > 108) = 0.0084242[/tex]

The null hypothesis is  [tex]H_o : \mu = 100[/tex]

The alternative hypothesis is  [tex]H_a : \mu > 100[/tex]

The sample mean is  [tex]\= x = 108[/tex]

Generally the test statistics is  =  2.39

  Generally the p-value is  equal  to 0.0084242

Now comparing the  p-value with a low level of significance  (say ∝= 0.01 ) we see that the p-value  is  less than ∝ which implies that the null hypothesis is  rejected  and we can conclude that there is sufficient evidence to conclude that the mean IQ for all students at the school is greater than 100

 

Exploring the Columbian Exchange
What do we know about the discovery of the New
World? List as many facts as you can

Answers

Answer:

Christopher Columbus introduced horses, sugar plants, and disease to the New World, while facilitating the introduction of New World commodities like sugar, tobacco, chocolate, and potatoes to the Old World. The process by which commodities, people, and diseases crossed the Atlantic is known as the Columbian Exchange.

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