Write an equation for the line , in point slope form that passes through the following. points: (5, - 3) (- 2, 6)

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is :

[tex]y + 3 = - \dfrac{9}{7} (x - 5)[/tex]

[tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]

Let's find the slope (m) of the line :

[tex] \mathrm{ \dfrac{y2 - y1}{x2 - x1} }[/tex]

[tex] \mathrm{ \dfrac{6 - ( - 3)}{ - 2 - 5} }[/tex]

[tex] \dfrac{6 + 3}{ - 7} [/tex]

[tex] - \dfrac{9}{7} [/tex]

now, let's find the equation in point slope form :

[tex] \mathrm{y - y1 = m(x - x1)}[/tex]

[tex]y - ( -3 ) = - \dfrac{ 9}{7} (x - 5)[/tex]

[tex]y + 3 = - \dfrac{ 9}{7} (x - 5)[/tex]

or it can be more simplified as :

[tex]7(y + 3) = - 9(x - 5)[/tex]

[tex]7y + 21 = - 9x + 45[/tex]

[tex]9x + 7y = 45 - 21[/tex]

[tex]9x + 7y = 24[/tex]

[tex]9x + 7y - 24 = 0[/tex]

I hope it helped ~


Related Questions

Help me with this please

Answers

Answer:

4*2*4 = 32

Answer = 32m3

please give brainliest

32m³

The formula for a rectangular prism is LxWxH which in this case would be 4x4x2. You may do it in any order you want to for the next part as long as you are multiplying the numbers: 4 x 4 = 16 x 2 = 32 or 4 x 2 = 8 x 4 = 32 .

I hope this will help you.

Tell me if I am incorrect and I will change my answer or take it down.

Cheers!^^

Dante it by 15 pounds of metal for $36 which purchase would have the same cost per pound is Dante purchase

Answers

36 dollars worth of metal

There are 6 pizzas cut into 48 equal pieces.

What is the equation that represents the number of slices, ​x , for each pizza?

Answers

X=8
8 slices per pizza
Hope this helps

Answer:

y=8x

Step-by-step explanation:

someone please answer!!!

Answers

Answer:

Step-by-step explanation:

1 60

2 120

3 60

4 120

5 30

6 30

What is the value of 6(2b-4) when b=5?

Answers

Answer:

36

Step-by-step explanation:

6(2b-4)
6(2(5)-4)
6(10-4)
6(6)
36

Find the value of x if 81=3x

Answers

Answer:

here ,

81=3x

or , 81/3=x

or,27=x

hence ,the value of x=27

Answer:

×=27

Step-by-step explanation:

81/3=3×

27=×

hence

×=27

Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before
school and ran a longer route through his neighborhood after school. By the end of the week,
Russell had run a total of 30 miles.
Which equation can Russell use to find how many miles, x, he ran each day after school?
5x + 2 = 30
2(x + 5) = 30
5(x + 2) = 30
2x + 5 = 30
How many miles did Russell run each day after school?
Write your answer as a whole number or a simplified fraction.
miles

Answers

In maths, Distance is described as the quantity of space between two points, and further calculation can be defined as follows:

Given Expression:

[tex]5x + 2 = 30\\\\2(x + 5) = 30\\\\5(x + 2) = 30\\\\2x + 5 = 30[/tex]

To find:

distance=?

Solution:

[tex]5\ days\ \begin{cases} & \text{ if } \text{before school 2 miles} \\ & \text{ if } \text{after school x miles} \end{cases}[/tex]

[tex]\therefore 5(x+2)=30\\\\[/tex]

[tex]\bold{5(x+2)=30}\\\\\bold{5x+10=30}\\\\\bold{5x=30-10}\\\\\bold{5x=20}\\\\[/tex]

[tex]\bold{x=\frac{20}{4} }\\\\\bold{x=4}[/tex]

Therefore, the final answer is "4 miles".

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Convert 4feet to inches

Answers

4 x 12 = 48
48 inches :)

Answer:

48

Step-by-step explanation:

multiply the length value by 12

the length is 4ft so you multiply it by 12

so

4×12=48

so the answer is 48

who is the father of modern Biology?

Answers

Aristotle
Hope this helps

Answer:

hi

Step-by-step explanation:

i am not sure but i think Aristotle

hope it helps

have a great day

Simplify I) (4+√2) (4-√2)
ii) (√5- √3) whole square​

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

in pic

(Credits: Symbolab)

In the year 2000 Florida's population was 16 million. since 2000, the state's population has grown about 2% each year. this means that Florida's population is growing exponentially. Find Florida's population in 2006​

Answers

Yes yes I will love to see if you get it right it is 12050

a party rental company has chairs and tables for rent. the total cost to rent three chairs and five tables is $52. The total cost to rent 9 chairs and 7 tables is$86. what is the cost to rent each chair and each table?

Answers

Answer:

The cost for 1 chair is $2.75 and the cost for 1 table is $8.75.

Step-by-step explanation:

Use the elimination method of linear equations to find your answer.

Our equations for this problem are:

3c+5t=52 and 9c+7t=86

Multiply the entire first equation by -3.

-3(3c+5t=52)

Simplify the equation from above:

-9c-15t=-156

Stack the two equations on top of each other and add/subtract:

-9c-15t=-156

9c+7t=86

You should be left with -8t=-70. Simplify this to find the value of t:

t=8.75

Plug the value of t into any of the original equations and solve for c.

3c+5(8.75)=52

Simplify the equation above:

3c+43.75=52

Subtract 43.75 from both sides of the equation:

3c=8.25

Divide both sides by 3 to get your c value:

c=2.75

Use the formula for simple interest to find the interest rate if a deposit of $1400 earned $490 of interest after 5 years,

Answers

Given the simple interest formula:

I = P•R•T

where:
I = interest
P = principal
R = interest rate
T = time (in years)

We can isolate R algebraically to find out the interest rate:

I = P•R•T

Divide both sides by P•T:

I / (P•T) = (P•R•T)/(P•T)

The formula for the interest rate is:
R = I / (P•T)

Substitute the given values into this formula to solve for the interest rate (R):

R = I / (P•T)

R = $490/ ($1,400 • 5 years)
R = $490 / $7,000
R = 0.07 or 7%

Therefore, the interest rate is 7%.

Please mark my answers as the Brainliest if you find my explanations and solution helpful :)

the width of a rectangular window is 24 inches. the area is 624 square inches. What is the length?

Answers

Answer:

Using the formula

A=wl

Solving forl

l=A

w=624

24=26in

Answer:

26 inches

Step-by-step explanation:

624/24 =

What is the estimated sum of fifty-five, sixty, and sixty-five using compatible numbers?

Answers

Answer:

escapingdatprison445

Expand and simplify (x-2)(x-1)

Answers

Answer:

(x - 3) x + 2

Step-by-step explanation:

1/4 (2 x - 3)^2 - 1/4

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of the population has blood type AB. Suppose a random sample of 50 U.S. residents and 40 Australians is obtained. Consider the random variables described below:

X: the number of U.S. residents with blood type AB
Y: the number of Australians with blood type AB

Required:
What is the probability that exactly 2 of the U.S. residents have blood type AB?

Answers

8 percent. Could I please get brainliest?

What is the ratio of all flowers in the vase to daisies?
What is the ratio of daisies to roses?

Answers

Can you please add an image?

A coin is tossed 12 times. What is the probability of obtaining five heads and seven tails?

Answers

Answer:

it is likely to happen, this is because both sides have an even chance of being landed on, the chance of both sides is 1/2.

A hot-air balloon rises 150 feet every 5 second. Which equation represents the relationship between time and height?

Answers

Answer:

y=30x

Step-by-step explanation:

the slope would be the change in height/time so 150/5 which is 30feet/sec

thus using the form y=mx+b and assuming the balloon started on the ground (0) then y=30x

Does anyone know how to do this? I’m really confused on this question. Also please explain or show work on a piece of paper to get marked =]

Answers

(3*0.5)/2=0.75 in^2
The lines are just helping you to see that the shaded space is half of the rectangle

Solve for x. Show each step of the solution. 4.8(9-x)+36=102-2.5(2x+2)

Answers

4.8(9−x)+36=102−2.5(2x+2)

First we will expand the equation by removing those parenthesis. We can use the distributive property. An example is 4.8(9-x) is 43.2-4.8x

43.2-4.8x+36 = 102-5x-5

Then we simplify each side by combining like terms.

79.2-4.8x=97-5x

Then to isolate the variable, we will subtract 79.2 on both sides.

-4.8x=17.8-5x

Then add 5x on both sides

0.2x=17.8

Finally, divide both sides by 0.2 and you get

x=89

Answer:

x =89

Step-by-step explanation:

4.8(9-x)+36=102-2.5(2x+2)

Distribute

43.2 - 4.8x + 36 = 102 - 5x -5

Combine like terms

79.2 -4.8x = 97-5x

Add 5x to each side

79.2 -4.8x+5x = 97-5x+5x

79.2 + .2x = 97

Subtract 79.2 from each side

79.2 -79.2+ .2x = 97-79.2

.2x =17.8

Divide by .2

.2x/.2 = 17.8/.2

x =89

A rectangular garden is 23 feet long and 11 feet wide. A brick walk way with uniform width is going to be constructed around the garden. The brick walk way will have an area of 126 square feet. What should be the width of the brick walk way? Type in your answer to the nearest thousandth. The width of the walk way should be___feet wide.

Answers

Answer:

92 is da correct answer okk that is find da question say happy always

The distance that a person drives at a constant speed varies directly with the amount of time they have been
driving. If, at a particular speed, a person drives 107 miles in two hours, then how far will they drive, at the
same speed, in 14 hours?

Answers

Answer:

749 miles

Step-by-step explanation:

I divided 107 by 2 and then multiplied that by 14

a person drives 53.5 at that particular speed so they keep driving that amount of miles each hour so it's 749

The distance they will drive, at the same speed, in 14 hours is 749 miles.

Given the following data:

Distance A = 107 milesTime A = 2 hoursTime B = 14 hours

To find how far (distance) will they drive, at the same speed, in 14 hours, we would apply direct proportion:

By using direct proportion:

107 miles = 2 hours

X miles = 14 hours

Cross-multiplying, we have:

[tex]2X = 107 \times 14\\\\2X = 1498\\\\X = \frac{1498}{2}[/tex]

X = 749 miles

Read more: https://brainly.com/question/18676621

the value of y is 20% more than the value of x. the ratio of x:y = 5

Answers

Answer:

x:y = 5:6

Step-by-step explanation:

y = x(20/100) + x

y = x (1/5) + x

Factorize X

y = x (1/5 + 1)

y = x (6/5)

5y = 6x

-----------------------------

ratio x:y = 5:6

The ratio is x:y = 5:6.

What is ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same sort and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is expressed as a: b.

Given:

value of y is 20% more than the value of x

So,

y = x(20/100) + x

y = x (1/5) + x

y = x (1/5 + 1)

y = x (6/5)

5y = 6x

Hence, the ratio is x:y = 5:6.

Learn more about ratio here:

https://brainly.com/question/26974513

#SPJ2

is this reletion just a function? Justify your answer. A. Yes, because every x- and y-value is positive. B. no, because two points with the same y-value have different x-values. C. Yes because every x-value corresponds with a single y-value. D. Yes, because the number of x-values is the same as the number of y-values.

Answers

Answer:

The element 15 has two arrows pointing to both 7 and 9. This is a clear violation of the requirement to be a function. A function is well behaved, that is, each element in the domain must point to one element in the range. Therefore, this relation is not a function.

Step-by-step explanation:

Btw brainliest me plss

Find the percent decrease. Round to the nearest percent.


From 90°F to 70°F

Answers

Answer:

22

Step-by-step explanation:

90*x = 70

x = 7/9

x = 78%

100-78 = 22

Eight times the sum of 8 and some number is 80. What is the number?

Answers

Answer: 8(8+x)=80

Step-by-step explanation: 8 times is shown in parenthesis, 8+x is the sum, and 80 is the answer

Someone help pleasee

Answers

Answer:

Step-by-step explanation

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Which of the following numbers could be the probability of an event?
0, 1.22, 0.01, 0.28, -0.49, 1

The numbers that could be a probability of an event are

(Use a comma to separate answers as needed.)

Answers

9514 1404 393

Answer:

  0, 0.01, 0.28, 1

Step-by-step explanation:

A probability is a non-negative number between 0 and 1, inclusive. The negative value and the one that is greater than 1 must be excluded. They cannot be probabilities.

Possible values of a probability are ...

   0, 0.01, 0.28, 1

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