Write in slope intercept form:
(-3,7) and (6,-8)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.

Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]

So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).

[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]

Distribute the -5/3 on the right side.

[tex]y-7=-\frac{5}{3}x-5[/tex]

Add 7 to both sides.

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

And now we have the equation in slope-intercept form.

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

Answer 2

y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (-3,7) and (6,-8)

m=-8-7/6-(-3)

m=-15/6+3=-15/9

m=-5/3

Now let us find the y intercept b.

7=-5/3(-3)+b

7=5+b

b=7-5

b=2

The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)

y=-5/3x+2

Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

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Related Questions



6/7x - 8 = 7

i need to solve for the missing variable

Answers

Answer:

the answer would be 17.500

Answer:

x = 35/2

Step-by-step explanation:

add: (6/7)x = 8 + 7

(6/7)x = 15

multiply by the reciprocal

x = 15(7/6)

Simplify

x = 5(7/2)

multiply:

x = 35/2

Check:

(6/7)(35/2)  -8 = 7

15 -8 = 7

Find the equation of the graphed line.
The answer I put in was incorrect and I’m not sure why

Answers

Answer:

-3x + 2 = y

As the y-intercept is y = 3

And the rise/run = 3/-1

Mr. Martin bought a microwave that was originally priced at $225. Using a coupon, he received a 30% discount on the microwave. What is the total price Mr. Martin will pay at the register if there is a 6% sales tax. Round your answer to the nearest cent if necessary.

Answers

Answer: 125 I think

Step-by-step explanation:

There are 40 players on Bill's football team, 2/5 of the players walk to practice and 1/4 of the players ride with their parents. The remaining players ride the bus. How many students ride the bus?

Answers

Answer:

22 students.

Step-by-step explanation:

There are a total of 40 players on the football team. 2/5 walk, 1/4 ride with their parents, and the rest ride the bus. To solve, I'm going to be using fractions to find out how many students ride the bus.

1/4 of 40 or 40/4 is equal to 10.

So we know 10 players ride with their parents.

2/5 of 40 or 40/5 is equal to 8.

Cool, 8 students walk to practice.

Now the rest ride the bus. Let's use addition to find the total amount of players that dont use the bus and subtract it from the total amount of players.

10+8=18

40-18=22.

22 students/players ride the bus to football practice.

A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?

Answers

Answer: 210

Step-by-step explanation:

Given: total locations = 7

Number of locations wishes to rank = 3

If order of selection matters, then the number of permutations of r things from n= [tex]\dfrac{n!}{(n-r)!}[/tex]

The number of ways to rank 3 locations out of 7 [tex]=\dfrac{7!}{(7-3)!}=7\times6\times5=210[/tex]

Hence, the number of different ways required = 210

Katie make the cake her brother a 1/8 of the cake her father ate one fourth of the cake and her mother eat 1/8 of the cake how much cake is left

Answers

Answer:

1/2

Step-by-step explanation:

Well first lets break it down into steps!

We have 1 cake.

Brother ate: 1/8

Mom ate: 1/8

Dad ate: 1/4

Now we know that 1/8 + 1/8 = 1/4.

So her brother and mom combined ate 1/4th of the cake.

Her dad also ate 1/4th.

So we have 1 - (1/4) - (1/4) = 2/4 = 1/2.

1/2 of the cake is left.

Need help with both 7 and 8

Answers

You are correct with both
7. Part 1: 15 mins x 7 days = 105 mins per week. Part 2: example- Veronica sold 15 cookies a day for 7 weeks, how many cookies did she sell? ( you just need to add the second part)
8. Part 1: 36 tables x 5 people = 180 people part 2: 288 divided by 36 = 8 people ( you got it right )

What is the quotient of -5.2 / 3.9 ?

Answers

-1.3 with a vinculum.

George is 2 in. taller than the quotient of Myron's height and 3. Let M represent Myron's height, in inches. Write an expression that represents George's height, in inches.

Answers

Answer:

G = M/3 + 2

Step-by-step explanaion

We can interpret the quotient of Myrons height and 3 as "M/3" and we add "+2" to account for the "2 in. taller" part of the problem. We can also represent George's height using "G"

The expression that represents George's height, in inches is G = M/3 + 2

What is algebra?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

George is 2 in. taller than the quotient of Myron's height and 3.

let  M represent Myron's height, in inches.

and, the quotient of Myrons height and 3 can be written as

=M/3

Now, add 2 to Myron's height.

Then George's height will be

G = M/3 + 2

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PLEASE HELP!!! I DON’T KNOW THISSS

Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?

Answers

Answer:

yes, she will still have 1/8 of a cup left

Step-by-step explanation:

you have to convert all the fractions to have the same denominator.

to do that you need improper fractions

3  1/2= 7/2

1  5/8= 13/8

1  3/4= 7/4

with this information, you need to find a common number between 2, 8, and 4. the largest number that they all fit into is 8.

so 7/2 becomes 28/8

13/8 stays the same

and 7/4 becomes 14/8

add 13/8 and 14/8 and subtract from 28/8

you get 1/8, which means you have enough flower for both recipes!

Answer:

[tex]YES.[/tex]

Step-by-step explanation:

[tex]if \: 1 \frac{5}{8} + 1 \frac{3}{4} = 3.375 \\ and \\ 3 \frac{1}{2} = \: 3.5 \\ then \: 3.5 > 3.375[/tex]

PLEASE HELP These equations represent different possibilities for a waiter earning $11.25 for waiting on one table for one hour. The constant is the hourly rate and the coefficient represents the fraction of the bill, b, the customers left as a tip. Which equation correctly represents the hourly rate and tip for a bill of $30.00?

A. 5.00 + 1/6 b = 11.25

B. 5.25 +1/3 b = 11.25

C. 5.25 + 1/5 b = 11.25

D. 6.00 + 1/8 b = 11.25

Answers

Answer:

C

Step-by-step explanation:

Just took test n got it right

Answer:

C. 5.25 + 1/5 b = 11.25

Step-by-step explanation:

what is 1423 divided bye 789

Answers

Answer:

1.8

Step-by-step explanation:

Answer:

use calculator

Step-by-step explanation:

search calculator on google

Please help me be right! Ordered pairs

Answers

Answer:

the answer is C

Step-by-step explanation:

both the ordered pair satisfy the equation

least common denominator of 7/2 and1/2​

Answers

the least common denominator of 7/2 and 1/3 is two (2)

What is the product?​

Answers

This is the product for the answer you need just press on it.

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A list containing these measurements is below:


Sample Input Temp (deg F) Output Temp (deg F)
1 57.6 65.1
2 68.9 74.4
3 68.1 74.7
4 47.7 55.4
5 48.1 51
6 67.2 71.9
7 69.9 79.2
8 48.1 57.2
9 35 41.4
10 56 61
11 44.3 50.8
12 65 70.5
13 48.3 56.9
14 54.9 61.7
15 60.4 67.3

Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees.

1. What does your analysis indicate?

a. The cooling system changes the temperature of the water by an amount different than 6 degrees.
b. The cooling system changes the temperature of the water by 6 degrees.

2. What is the P-Value associated with your decision above?

a. 0.001
b. 0.026
c. 0.049
d. 0.070
e. 0.110
f. 0.131
g. 0.148
h. 0.201
i. 0.278
j. 0.289

Answers

Answer:

1

The correct option is  b

2

The correct option is  h

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 15

   The difference in population proportion is [tex]d = 6[/tex]

Generally the sample mean of the input temperature is  

     [tex]\= x_1  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_1  =  \frac{57.6 + 68.9 + \cdots +60.4  }{15}[/tex]

=>  [tex]\= x_1  = 62.57 [/tex]

Generally the sample mean of the output temperature is  

     [tex]\= x_2  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_2  =  \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]

=>  [tex]\= x_2 = 55.97 [/tex]

Generally the difference of the sample mean of the input temperature and that of the output temperature is  

     [tex]\= d  =  \= x_1  - \= x_2[/tex]

=>  [tex]\= d  =  62.57 -55.97[/tex]

=>  [tex]\= d  =  6.6[/tex]

Generally the standard deviation is mathematically represented as

     [tex]s_d  =  \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]

=>  [tex]s_d  =  \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots +  ([60.4 -  67.3]- 6.6)^2 }{15} }[/tex]

=>  [tex]s_d  = 1.732 [/tex

Generally the test statistics is mathematically represented as

     [tex]t  =  \frac{ d - \= d  }{ \frac{s_d}{\sqrt{n} } }[/tex]

=>   [tex]t  =  \frac{ 6-6.6  }{ \frac{1.732}{\sqrt{15} } }[/tex]

=>   [tex]t  =  1.3417[/tex]

Generally the degree of freedom is mathematically represented as

    [tex]df =  n -  1[/tex]

=>  [tex]df =  15 -  1[/tex]

=>  [tex]df =  14[/tex]

Generally the probability of t obtained from the t - distribution table at a degree of freedom of  [tex]df =  14[/tex] is  

      [tex]P(t >1.3417 )  =  0.10052569[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P(t >  1.3417)[/tex]

=>    [tex]p-value  =  2 *   0.10052569[/tex]

=>   [tex]p-value  =  0.201 [/tex]

From the values obtained we see that [tex]p-value  >  \alpha[/tex] hence

The decision rule is  

Fail to  reject the null hypothesis

The conclusion is  

The cooling system changes the temperature of the water by 6 degrees.

 

help wil give brainly if right

Answers

Answer:

I think it B as well as the other person I just learned this so I'm not the best at it

-14+6b +7-2b=1+5b what is answer?~PLEASE SHOW WORK 45 POINTS

Answers

Answer:

b=-8

Step-by-step explanation:

Sorry I don't have time to show work right now and write it down but this is the answer.

Answer:

b=8

Step-by-step explanation:

1.1     Pull out like factors :

-8 - b  =   -1 • (b + 8)  

Solving a Single Variable Equation

2.1      Solve  :    -b-8 = 0  

Add  8  to both sides of the equation :  

                     -b = 8

Multiply both sides of the equation by (-1) :  b = -8

what is 3(3x +2) = 9x-7

Answers

Answer:

No solutions

Step-by-step explanation:

3(3x + 2) = 9x + 7

9x + 6 = 9x + 7

9x - 9x = -6 + 7

0 = -1

No solutions

Hope this helps!

Is 4:5 equivalent to 8:10 as radios?

Answers

Yes, they are equivalent.

As we can see, 4:5 and 8:10 have something in common. 4*2 = 8 and 5*2 = 10. Both 4 and 5 are multiplied by 2 to get 8:10.

11. Given a polynomial P(x) = x³-4x²-5x is one of the zeroes.

a) Factorise P(x) completely
b) Sketch the graph of P(x)
C)Find the domain and range.​

Answers

Answer:

thats some tuff

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(x)=x³-4x²-5x=x(x²-4x-5)

=x(x²-5x+x-5)

=x[x(x-5)+1(x-5)]

=x(x-5)(x+1)

domain (-∞,∞)

range: (-∞,∞)

Examine the following function. f(x)=8x2+2x−15 What are the factors of the function?

(4x−5)(2x+3)
(4x+5)(2x−3)
(4x−3)(2x+5)
(4x+3)(2x+3)

Answers

Answer:

(4x-5) (2x+3)

Step-by-step explanation:

(4x-5) (2x+3)

The factors of the function f(x)=8x²+2x−15 are (4x -5) and (2x + 3).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

We have the quadratic function,

f(x)=8x²+2x−15.

To find the factors:

8x²+2x−15,

= 8x²+ 12x - 10x −15

= 4x(2x +3) -5(2x +3)

= (4x -5)(2x + 3)

Therefore, the factors are  (4x -5) and (2x + 3).

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Cost of bowling if it is $3 per game and $5 for shoes. Find the linear equation.

Answers

Answer:

y=3x+5

Step-by-step explanation:

Depending on how many games he has played that number where the x is. So let’s say he plays two games so what you’re going to do is plug the two in for the X so then it would be 2×3 which is 6 then you would do 6+5 because you still have the 5 left and it says to add.

That should be right and follow me if this helps.

Direction: Arrange the following numbers in decreasing order. Write your answer on the blank provided below each number.

1. 89 000, 100 000, 55 000, 67 000-

2. 12 345, 23 456, 34 567, 45 678-

3. 98 765, 87 654, 76 543, 65 432-​

Answers

Answer:

1. 100 000, 89 000, 67 000, 55 000

2. 45 678, 34 567, 23 456, 12 345

3. 98 765, 87 654, 76 543, 65 432-

Write in slope intercept form:
(1,4) slope= -2

Answers

Answer:

y = -2x + 6

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

So we are given a point, (1, 4), and a slope, -2, and we are asked to write the information into slope-intercept form. To write something directly into slope-intercept form, we need the y-intercept and the slope. Here, we are given a point, that is not the y-intercept, and a slope.

Instead of plugging for m and b in the equation for slope-intercept form, we can write the equation in point-slope form and then solve for slope-intercept form.

Point-slope form is:

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) is a point.

Lets plug in (1, 4) for (x₁, y₁) and -2 for m.

y - 4 = -2(x - 1)

Now lets solve for slope-intercept form. Distribute the -2 on the right side.

y - 4 = -2x + 2

Add 4 to both sides.

y = -2x + 6

And now we have the equation in slope-intercept form.

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

Part B
After the first hour, Samuel and Allie agree they will continue to climb up the rock
face for another 1 hour. Allie continues to climb at the same rate. What rate must
Samuel climb in the last { hour to reach the same height as Allie?
Samuel needs to climb at a rate of
meters per hour in the last hour to reach
the same height as Allie.

Answers

same needs to climb at a 12 rate

What is (1 x 10(5) + (3 x 10(3) + (7 x 10(2) in standard form?
A. 1,030,700
B. 1,037,000 I. C. 103,700
D. 1,370

Answers

03 = 1000

8. 10-5 = 1/100,000 = 0.00001

9. 109 = 1,000,000,000

10. 1 X 10-2 = 1/100Answer:

1. 100 = 102

2. 10,000,000 = 107

3. 1 / 10,000 = 10-4

4. one million = 106

5. 1 / 10,000,000 = 10-7

6. one ten millionth = 10-7

7. 1 = 0.01

Step-by-step explanation:

Which statement is true?

Answers

Answer:a

Step-by-step explanation:because the number equals the letter.

what is 3.14 x 11 x2

Answers

Answer:jurrhthrhth

Step-by-step explanation:hdhdbbdfh

Answer:

69.08

Step-by-step explanation:

I hope this helped!

Multiply 2 3/4 x 1 1/3. Write your answer in simplest form

Answers

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4  *  1 1/3

= 12 / 4  * 4/3

now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

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