What is the slope of the line that passes through the points (2, -4) and (5, 2)? Write
your answer in simplest form.

Answers

Answer 1

Answer:

Slope: 2

The slope how much y increases when x increases by 1.

Step-by-step explanation:

1. Find the difference between both y-coordinates. (6)

2. Find the difference between both x-coordinates. (3)

Divide the difference between y and x. y/x=2

The slope is 2.

Answer 2

Answer:

The slope of line that passes through the points (2, -4) and (5, 2) is 2.

Step-by-step explanation:

Here's the required formula to find slope line :

[tex]{\longrightarrow{\pmb{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}}[/tex]

As per given question we have provided that :

[tex]\begin{gathered}\footnotesize\rm {\underline{\underline{Where}}}\begin{cases}& \sf y_2 = 2\\& \sf y_1 = - 4\\ & \sf x_2 = 5\\ & \sf x_1 = 2\end{cases} \end{gathered}[/tex]

Substituting the values in the formula to find slope line that passes through the points :

[tex]\begin{gathered}\qquad{\longrightarrow{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{(2) - ( - 4)}{5 - 2}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{2 + 4}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{6}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = 2}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{m = 2}}}}}} \end{gathered}[/tex]

Hence, the slope of line that passes through the points (2, -4) and (5, 2) is 2.

[tex]\rule{300}{2.5}[/tex]


Related Questions

Which ordered pair is the solution of the system of linear equations?

1(-4,-2)
2(-4,2)
3(-2,-4)
4(2,4)

Answers

Answer:

[tex] - 4 \: and \: 2 \\ [/tex]

Step-by-step explanation:

[tex]\\ where \: the \: lines \: touch \: on \: \\ the \: y \: axis \: and \: the \: x \: axis [/tex]

Can someone please answer these questions

Answers

i don't know if this will help you

If the end behavior is increasing on the left and decreasing on the right, which statement must be true about the function?
The degree is even and the leading coefficient is positive.

The degree is even and the leading coefficient is negative.

The degree is odd and the leading coefficient is positive.

The degree is odd and the leading coefficient is negative.

Answers

Using limits, the correct statement is given by:

The degree is odd and the leading coefficient is negative.

How the end behavior of a function f(x) is found?

It is found by it's limits as x goes to infinity. On the left, it is given by:

[tex]\lim_{x \rightarrow -\infty} f(x)[/tex]

On the right, it is given by:

[tex]\lim_{x \rightarrow \infty} f(x)[/tex]

Since it is a limit as x goes to infinity, we only consider the term with the highest degree and it's leading coefficient.

Hence, the behavior described, that is, [tex]\lim_{x \rightarrow -\infty} = \infty, \lim_{x \rightarrow \infty} = -\infty[/tex] happens when:

The degree is odd and the leading coefficient is negative.

More can be learned about limits at https://brainly.com/question/22026723

Answer:

The degree is odd and the leading coefficient is negative.

Step-by-step explanation:

What is the radius of a circle whose area measures
530.66 square feet?
Use pi = 3.14 and round to the nearest hundredth.

Answers

Answer:

13

Step-by-step explanation:

refer the image attached below

Ramon, Chio, Karl, Klaus, Henry, and Li sat around a hexagonal table playing memory card games. Where did each person sit?

Answers

Answer:

RamonKarlKlausHenryLiChio

Step-by-step explanation:

It is given that Henry sat at 4. Ramon sat opposite, at 1. Karl sat left of Ramon, at 2. Li sat opposite Karl, at 5. Klaus sat left of Karl, at 3. Chio sat in the remaining seat at 6.

RamonKarlKlausHenryLiChio

[ 3 − 2 + (3 − 2) − (2 − 3) ]− (2 − 3) + (3 – 9)

Answers

Answer:

(1 + 1 - -1 ) - -1 + -6

3 --1 = 4

4+ - 6 = -2

Answer: - 2

4) Rotation: 90° ccw about the origin ​

Answers

Answer:

Graph attached

Step-by-step explanation:

Counterclockwise rule: (x, y) to (-y, x)

Hope this helps!

5c + 9c

Show your solution! tyms​

Answers

Answer: 14c
5c+9c=14c
This problem is as simple as 5+9, but with a variable. Because both 5c and 9c have the same variable, you can simply add them. Which gives you 14c.

Answer:

[tex]\boxed{\sf{14c}}[/tex]

Step-by-step explanation:

Solving this problem is as simple as isolating the term of c from one side of the equation, and then simplifying the equation.

First, add the numbers from left to right.

[tex]\sf{5c+9c=\boxed{\sf{14c}}[/tex]

Therefore, the correct answer is 14c.

I hope this helps! Let me know if you have any questions.

1 km = 0.62 mi. The distance between Lowell and Shelby is 285
miles. How many kilometers is this?
Round your answer to the nearest whole kilometer.

Answers

Answer:

459

Step-by-step explanation:

Since to find out mile to kilometer you divide the mile by 1.609 would equal  458.66304 and rounding it to the nearest whole kilometer is 459 there is you answer.

The distance between Lowell and Shelby is approximately 460 kilometres.

Given that information:

1 km = 0.62 miles

Also given the distance between Lowell and Shelby is 285 miles.

To convert miles to kilometres, use the conversion factor:

1 mile = 1.60934 kilometres

Now calculate the distance in kilometres as follows:

Distance in kilometres = 285 miles × 1.60934 km/mile

Distance in kilometres ≈ 459.7 kilometres.

Now, round the answer to the nearest whole kilometre as follows:

Distance in kilometres ≈ 460 kilometres.

Hence, the distance between Lowell and Shelby is approximately 460 kilometres.

Learn more about Distance here:

https://brainly.com/question/34779919

#SPJ3

A rectangle has an area of 893.2 square yards and a height of 31.9 yards. What is the length of the base?

Answers

Area = height x length

893.2 = 31.9 x length


To find length divide both sides by the height:


length = 893.2 / 31.9

Length = 28 yards

Answer:

4.84 yards

Step-by-step explanation:

You plug in the values into the formula for the Area of a triangle

if y varies inversely as the square of x and y= 7/48 when x=4 find y when x=3

Answers

the answer is 7/27 if x= 3


A student was asked to find the volume of the solid where the
inner cylinder is hollow. She incorrectly said the volume is
954.56 in.3. Find the volume of the solid. Use 3.14 for 1. What
mistake might the student have made?

Answers

The volume of the solid is 753.6 in³

Volume

Volume is the amount of space occupied by a three dimensional figure or shape.

The volume of the solid with hole = (π * (8/2)² * 16) + (1/3)(π * (8/2)² * 9)= 954.56 in³

Volume of hole =  (π * (2)² * 16) = 200.96 in³

Volume of solid = 954.56 in³ - 200.96 in³ = 753.6 in³

The volume of the solid is 753.6 in³

Find out more on Volume at: https://brainly.com/question/1972490

Order the numbers 222%, 11/25, and 0.31% from least to greatest.
O 222%, 11/25, 0.31%, and 0.34
O 0,31%, 0.34, 222%, and 11/25
O 0.31%, 0,34, 11/25, and 222%
O 222%, 11/25, 0.34, and 0.31%

Answers

Answer:

C

Step-by-step explanation:

C. 0.31% = 31%, 0.34 = 34%, 11/25 (0.44 = 44%), and 222%

Hope this helps!

Answer:

12

Step-by-step explanation:

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 39 ​tablets, then accept the whole batch if there is only one or none that​ doesn't meet the required specifications. If one shipment of 4000 aspirin tablets actually has a 5​% rate of​ defects, what is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected?

Answers

Probabilities are used to determine the chances of a shipment being accepted or rejected

The probability that a shipment will be accepted is 0.4129Many shipments will be rejected

How to determine the probability

The rate of defect is 5%.

So, the probability that a tablet is not defect is 95%

The probability that there is no defect out of the 39 selected tablets is:

[tex]P(None) = 0.95^{39}[/tex]

[tex]P(None) = 0.1352[/tex]

The probability that there is one defect out of the 39 selected tablets is:

[tex]P(One) = 39 * 0.05 * 0.95^{38}[/tex]

[tex]P(One) = 0.2777[/tex]

Add both probabilities

[tex]P(Accepted) = 0.1352 + 0.2777[/tex]

[tex]P(Accepted) = 0.4129[/tex]

Hence, the probability that a shipment will be accepted is 0.4129

The above probability is less than 0.5.

This means that many shipments will be rejected

Read more about probability at:

https://brainly.com/question/25870256

Help please, I want to get a good score :D

Answers

Answer:

144in²

Step-by-step explanation:

area of a square = s²

where s = side length.

the given side length is 12 inches

so area = 12² = 144

What Am I Doing Here !?
Help Please And Quickly ​

Answers

Answer:

Step-by-step explanation:

AS the top line progresses by 1, the bottom line progresses by 2.

So I'm going to fill in the top line from 3 to 8

1     2    3   4    5    6    7     8

3     5    7   9   11    13  15     17

 

The number that goes underneath the 8 is 17

Now we wonder how you get 21 in the second line

9     10

19   21

So the two answers you want are 17 on the bottom line and 10 on the top line.

5. What is the approximate monthly mortgage payment if the loan amount is $600,000,
the annual interest rate is 3%, and the loan duration is 30 years?

Answers

[tex]~~~~~~~~~~~~ \textit{Amortized Loan Value} \\\\ pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]\implies pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left(\frac{n}{n+r}\right)^{nt}} \right][/tex]

[tex]\begin{cases} P= \begin{array}{llll} \textit{original amount deposited}\\ \end{array}\dotfill & \begin{array}{llll} \$600000 \end{array}\\ pymt=\textit{periodic payments}\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &30 \end{cases}[/tex]

[tex]pymt=600000\left[ \cfrac{\frac{0.03}{12}}{1-\left(\frac{12}{12+0.03}\right)^{12\cdot 30}} \right]\implies pymt=600000\left[\cfrac{0.0025}{1-\left( \frac{12}{12.03} \right)^{360}} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill pymt\approx 2529.62~\hfill[/tex]

Annika needs to sell at least 25 boxes of Girl Scout cookies to get a new badge she has already sold 4 boxes how many more does she need to sell


one step inequality word problems ​

Answers

Answer:

Annika needs to sell 21 new boxes in order to get her new badge

Step-by-step explanation:

To find the answer, we subtract 25-4

We get 21 when we do this

So that’s our answer

Need help ASAP please!??

Answers

Answer:

Corresponding angles converse theorem

Step-by-step explanation:

Angles x and y are corresponding angles.

This makes the lines parallel by the converse of that theorem.

This makes it similar by the corresponding angles converse theorem.

Definition of converse

the reverse of another

The corresponding angles theorem is for the congruency of the angles by parallel lines. Here we want to see if the lines are parallel given the congruency of the angles.

We can flip the operation, checking to see if the angles are congruent, which proves that the lines are parallel.

-Chetan k

Inequalities number line

Answers

Answer:

1.

x < -3

2.

x <= 5
3.

x >= 6

Jane made sugar cookies to share with her friends. She spent 1 hour and 10 minutes making the dough and 1 hour and 30 minutes baking the cookies. Then, she spent 30 minutes decorating the cookies with icing and sprinkles. It was 2:55 P.M. when Jane finally finished all of the cookies. What time did Jane start making the cookies?

Answers

Answer:

12:15 P.M

Step-by-step explanation:

2:55 P.M - 1hr 30 min = 1:25 P.M

1:25 P.M - 1hr 10 min = 12:15 P.M

Jane started making the cookies at 12:15 P.M

How do I solve this

Answers

Answer:

mutiple the ft number by the same number to get area

Step-by-step explanation:

2x2=4

3x3=9

5x5=25

8x8=64

Hope this helps :)

Answer: 2ft = 4 square feet. just multiply the side lenght number by 2 and thats how u get the answer

a car park charges 1.50 to each car entering. the car park only accepts £1 coins and 50p coins. here are the coins collected on a particular day. number of £1 coins: 172 number of 50p coins:256 making the assumption that all drivers paid the exact amount due on that day, work out the percentage of drivers that paid with three 50p coins​

Answers

Subtract the amount of £1 coins from 50p coins:


256-172 = 84

84/3 coins = 28 people paid with 3 coins.


172 people paid using £1 coins

172 + 28 = 200 total people


percent who used 3 coins = 28/200 = 0.13 x 100 = 14%

Answer: 14%

What will be the remainder after dividing 662,622 by 19?
16
19
166
92
42

Answers

Answer:

[tex]19 \sqrt{662622 = 34874 \: remainder \: 16} [/tex]

34874 rem 16

I need help will give brainliest

Answers

Answer:

7 youre right, i was wrong the first time

Step-by-step explanation:

i hope this helps

Find the values of x and y in the triangle below.
(Please hurry)

Answers

Answer:

x = 10.4

y = 9

Step-by-step explanation:

Suppose the triangles are similar

x/26 = 8/20 (side lengths must be proportional) cross multiply expressions

20x = 208 divide both sides by 20

x = 10.4

same goes for y

6/(6+y) = 8/20 cross multiply expressions

120 = 8y + 48 subtract 48 from both sides

72 = 8y divide both sides by 8

9 = y

Pls help in need
All appreciation​

Answers

wish i can help i just dont got m cal on me

Find the equivalent cash price of a $1500 monthly payment over two years assuming 18% interest compounded monthly.

Answers

Answer:

6480

Step-by-step explanation:

18% of 1500 is 270 x 24 for each month of 2 years and you get 6480

6840 that is the answer

Over the past 6 days, Mrs. Cho found the temperature outside had dropped a total of 36 degrees. Find the average drop in temperature each day. degrees per day **Average- add numbers up & divide**

Answers

6 degrees each day

Step-by-step explanation:

get 36 and divide by 6 or do 6x6 either way that's what u get each day 6.

Explain why the square root of a number is defined to be
equal to that number to the 1/2 power?

Answers

Answer:

the inverse operation to the power of 2

Step-by-step explanation:

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