Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?

Answers

Answer 1

Given:

The two points are (4,5) and (-3,-5).

To find:

The point-slope form equations could be produced with the given points.

Solution:

Slope formula:

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

The two points are (4,5) and (-3,-5). So, the slope of the line is:

[tex]m=\dfrac{-5-5}{-3-4}[/tex]

[tex]m=\dfrac{-10}{-7}[/tex]

[tex]m=\dfrac{10}{7}[/tex]

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope of the line.

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:

[tex]y-5=\dfrac{10}{7}(x-4)[/tex]

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:

[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]

[tex]y+5=\dfrac{10}{7}(x+3)[/tex]

Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].


Related Questions

Simplify fully
4x2 + 4x
2x² – 2

Answers

Answer:

4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22

22 is the FINAL answer

#carryonlearning

Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?

Answers

Answer:

answer is J because if we lay out the information we will understand it

The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305

Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Similarly, we get:

Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)

Thus, we got a system of equations in x and y as:

[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)

Learn more about forming equations here:

https://brainly.com/question/11938672

What is the value of
5
5 units, as a fraction greater than
1
1?

Answers

The value of 5 units as a fraction greater than 1 is 5x>1x>.2.2=2/10 Answer is 2/10 you welcome!

PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

Answer:

Thats easy C:

2 and 3 at the same time

Step-by-step explanation:

3x2=6 or if you dived 6/2=3

Also one thing when doing markup or profit(I think thats how you spell it if not im srry my spelling is very bad lol) you dived it

Have a good day :D

Lincoln has a coin collection. He keeps 3 of the coins in his box, which is 5% of the collection. How many total coins are in his collection?

Answers

Answer:

3 times 20 equals 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

is/of = %/100

'x' = # coins

3/x = 5/100

cross-multiply

5x = 300

x = 60

Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2

Answers

Answer:

(2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 5y = 9 → (1)

3x + 4y = 2 → (2)

Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term

8x - 20y = 36 → (3)

15x + 20y = 10 → (4)

Add (3) and (4) term by term to eliminate y

23x + 0 = 46

23x = 46 ( divide both sides by 23 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

3(2) + 4y = 2

6 + 4y = 2 ( subtract 6 from both sides )

4y = - 4 ( divide both sides by 4 )

y = - 1

solution is (2, - 1 )

PLS HELP ME WITH THIS ITS LIKE DUE IN A FEW HOURS

“you’re friend finds the area of the triangle”

(image above)

“is you’re friend correct”,

EXPLAIN YOU’RE REASON!!!

PLEASE

Answers

Answer:

yes

Step-by-step explanation:

Area is 1.2 base * height

the base is 10 and the height is 12

120/2= 60

A culture of 3,000 bacteria quadruples in number every 10 hours. Plt) represents the
population of the bacteria after thours. Which equation best models the growth of
the bacteria?

Answers

Answer:

P(t) = 3000 * 4^(t/10)

Step-by-step explanation:

There is more than one way to get an exponential function out of the information given.  The way the question is worded, however, seems to suggest the following type of answer:

One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor.  So right away we can say that a = 2300.

Now for the growth factor.  When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently.  So here we're increasing by 11%, or 0.11.  Then the growth factor b is (1 + 0.11), or 1.11.

If x3=125 and y3=8, what is the value of y−x

Answers

Answer:

X= 5

Y= 2

Y-X= 2-5= -3

How many times greater is the value of 7 in 271,461 than the value of 7 in 927,645?​

Answers

Answer:

3.42 times.

Step-by-step explanation:

We can simply see how many times greater the numbers are from one another.

927,645/271,461 = 3.41723120448 about 3.42 times.

Angie is creating a stained glass windowpane that will be 5 inches by 6 inches. To make the
rectangular windowpane, Angie fuses together two triangles of colored glass. What is the
perimeter of one triangle? If necessary, round to the nearest tenth.
inches

Answers

Answer:

The perimeter of a triangle is equal to 18.81 inches.

Step-by-step explanation:

Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:

5 ^ 2 + 6 ^ 2 = X ^ 2

25 + 36 = X ^ 2

√61 = X

7.81 = X

5 + 6 + 7.81 = X

11 + 7.81 = X

18.81 = X

Therefore, the perimeter of a triangle is equal to 18.81 inches.

3 2/6+8 2/9-1 1/2 ?????????

Answers

Answer:

10 1/18

Step-by-step explanation:

3 2/6 + 8 2/9 - 1 1/2 = ?

First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.

3 6/18 + 8 4/18 - 1 9/18 = ?

Now, we solve.

3 6/18 + 8 4/18 - 1 9/18 = 10 1/18

A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.8 in. The slant height of the pyramid is 89.3 in. What is the height of the pyramid?

Answers

Answer:

The height is  88.434in

Step-by-step explanation:

Pay the bill using the fewest possible bills/coins

Answers

Answers:

Open the pdf below and youll find what you need. also do the largest bills you can.

Find the distance between the pair of points (2, 3) and (6, 8)

Answers

Answer:   d=sqrt(41) =6.4031  

Step-by-step explanation:

We know that the distance between the two points (x  1  ,y  1  ) and (x  2  ,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=2  ,x2=6   ,y1=3 ,y2=8

d=sqrt((6-2)^2+(8-3)^2 )

d= sqrt((4)^2+(5)^2

d=sqrt(16+25)

d=sqrt(41) =6.4031

50 POINTS - PLEASE HELP!!!
A supermarket display consists of boxes of cereal. The bottom row has 40 boxes. Each row has three fewer boxes than the row below it. The display has seven rows.
a. Write and use a function to determine how many boxes are in the top row (show your work)
b. Use the appropriate formula to determine the number of boxes in the entire display (show your work)

I think I have the 1st part down:
40+(7-1)x-3
40+(6)x-3
23+(-18)
=5 Number of boxes on the Top Row

Answers

Answer: x = 7

Part A: y = (x)3- + 40

22 = 7 x 3- + 40

22 = 21- + 40

40 - 21 = 22

Part A= 22

Part B: x - 3(7) = 7(y) + x

40 + 37 + 34 + 31 + 28 + 25 + 22

Part B: 217

Step-by-step explanation:

Have a nice day.

If ∠R and ∠S are supplementary angles and m∠R = 39°, find m∠S.

Answers

Answer: m∠S=141°

Step-by-step explanation:

Here, we need to know the definition of supplementary angles. Supplementary angles are two angles that add up to 180°. If you need a more detailed graphical explanation, please refer to the attachment below.

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

Given

m∠R=39°

Solve

Given

m∠R + m∠S=180

Substitute value

39 + m∠S=180

Subtract 39 on both sides

39 + m∠S - 39=180 - 39

m∠S=141

Hope this helps!! :)

Please let me know if you have any questions.

Please help..


You buy certain supplies in Nearland. Last year, the currency exchange rate was 1 USD = 3 NRD. Are these supplies more or less expensive to buy now than last year? Explain your answer in complete sentences

Techtopia
(Techtopian dollar, or TPA) 1 USD = 1 TPA

Crosswater
(Crosswatering dollar, or CSW) 1 USD = 20 CSW

Nearland
(Nearlandian dollar, or NRD) 1 USD = 5 NRD

Answers

9514 1404 393

Answer:

  less expensive

Step-by-step explanation:

If we assume the supplies in Nearland have a constant price of 15 NRD, then the cost in USD last year was ...

  (15 NRD)/(3 NRD/(1 USD)) = 5 USD

This year, the cost is ...

  (15 NRD)/(5 NRD/(1 USD)) = 3 USD

The cost in terms of USD has gone down.

__

Additional comments

Usually, exchange rates and local prices are related. If the supplies are produced in the US and sold in Nearland, the producer may want to maintain their pricing in terms of USD. That is, a supply that cost 1 USD last year would have been priced at 3 NRD last year. This year, the same supply, for the same 1 USD cost would be priced at 5 NRD. In Nearland, the supplies are more expensive than they were.

The real answer is, "it depends".


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<YXZ and <TUS

Step-by-step explanation:

An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.

Therefore, the only pair of angles from the given options that flare alternate exterior angles are:

<YXZ and <TUS

A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently 39,900employees, how many employees did the company have a year ago?

Answers

Answer:

33% of 39900=13,167

39900-13167=26733

8. What is the surface area of a square pyramid that has a base of 5 cm and
triangle heights of 8 cm.*

Answers

The answer is 40. 5 x 8, height x base = area

Answer:

105cm squared

Step-by-step explanation:

I put my answer here before, but somehow it got deleted, so I'm typing it again.

A square-based pyramid is made up of one square and four triangles.

We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.

5 x 5 = 25

Therefore, the area of the base is 25cm squared.

Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.

5 x 8 = 40

40 / 2 = 20

Therefore, the area of one triangle is 20cm squared.

But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.

4 x 20 = 80

Add everything together:

25 + 80 = 105

Therefore, the total surface area of the square-based pyramid is 105cm squared.

Malala is following this recipe for bread rolls.
She uses 400 g of flour.
How much of each of the other ingredients does she use?

Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water

Answers

Answer:

Salt = 8 g

Yeast = 6.4 g

Oil =24 ml

Water = 280ml

Step-by-step explanation:

[tex]Salt = \frac{10}{500}*400 = 2*4 = 8[/tex]

[tex]yeast =\frac{8}{500}*400= \frac{32}{5}=6.4[/tex]

[tex]Oil =\frac{30}{500}*400=6*4=24 ml[/tex]

[tex]Water = \frac{350}{500}*400=70*4=280 ml[/tex]

Does this line represent a positive or negative slope?
How do you know?
only answer if you really know the answer !

Answers

Answer:

positive it is moving to the positive side of the graph

Helppppp I have until 11:30 and it’s 10:36

Answers

Answer:

911

Step-by-step explanation:

Now you can get help


If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?

Answers

Answer: 114 homeruns on mars

Step-by-step explanation: 76 homeruns x 0.5 = 38

76+38 = 114

HELP MEEE

Colin asked some of his classmates how many minutes they spent working on their math homework last night. He created a dot plot to show his results.
25
5 10 5 20
Amount of Time
(minutes)
What is the range of the data Colin collected?
05
0 20
o 25
11

Answers

Answer:

pretty sure its twenty

Step-by-step explanation:

you have to subtract the maximum from the minimum values

so 25-5=20

have a nice day!!!!!!!!

which of the following is equivalent to 19L

Answers

Answer:

There are no options to pick

Answer:

19 L= 19000 mL

hope this helps

have a good day :)

Step-by-step explanation:

In ΔNOP, p = 240 cm, n = 270 cm and ∠O=22°. Find the area of ΔNOP, to the nearest square centimeter.

Answers

Answer:

Area≈12137.254≈12137

Step-by-step explanation:

Delta math

PLEASE HELP!!! Needed ASAP!

Answers

B sorry if I’m wrong btw

If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.

Answers

Answer:

35% of 100 is 35

Step-by-step explanation:

the first person who answered this did a good job at explaining it

Answer:

35% of 100 is 35

Step-by-step explanation:

so trying to get this right hope it helps :D

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