Write the polnt-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
y- 6 = 1(x + 5)
y+6= -1(x - 5)
y- 6 = -1(x + 5)
y+ 6 = 1(x - 5)

Answers

Answer 1

Answer:

y - 6 = -1 (x+5)

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1} \\[/tex]. Substitute the x and y values of (-5,6) and (0,1) into the formula and simplify like so:

[tex]m = \frac{(1)-(6)}{(0)-(-5)} \\m = \frac{1-6}{0+5} \\m = \frac{-5}{5} \\m = -1[/tex]  

So, the slope of the line is -1.

2) Now we have enough information to write the equation of the line in point-slope form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope of the line, substitute -1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (-5, 6) in those places as well. This gives the following equation and answer:

[tex]y-6 = -1(x+5)[/tex]


Related Questions

find the value of x in the triangle shown below

Answers

Using the Pythagorean Theorem where:
a^2 + b^2 = c^2

So,

9^2 + 3^2 = 90

Sqrt 90 = 9.48

x = 9.48

x+2y=3;3x+5y=7 solve by elimination method

Answers

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 3 → (1)

3x + 5y = 7 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 6y = - 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - y = - 2

- y = - 2 ( multiply both sides by - 1 )

y = 2

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

Substituting into (1)

x + 2(2) = 3

x + 4 = 3 ( subtract 4 from both sides )

x = - 1

solution is (- 1, 2 )

Answer:

(2,1)

Step-by-step explanation:

A P E X

Use this picture to name one pair of SUPPLEMENTARY angles

Answers

One pair of supplementary angles in the picture : Angle 1 and Angle 5

Hope this helps!

what is the sum of the arithmetic sequence 8,15,22..., if there are 26 terms?

o 2,483
o 2,485
o 3,486
o 3,489

Answers

Answer:

2,483

Step-by-step explanation:

8+15+22+29+36+43+50+57+64+71+78+85+92+99+106+113+120+127+134+141+148+155+162+169+176+183=2483

Answer:2483

Step-by-step explanation:

took the test

Callie brushes her teeth three times each day. She leaves the water running. Is it reasonable to say that she uses 2 cups of water in one day? Explain

Answers

Answer: She uses more than 2 cups of water per day.

Step-by-step explanation:

It takes 2 minutes to brush your teeth and if you times that by 3 you get 6 so she spends 6 minuntes per day brushing her teeth and water runs fast. so if your leaving the water on for 6 mintues your filling up much more than 2 cups

the temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop

Answers

Answer:

11

Step-by-step explanation:

2-8 you need to minus the first number

Help Me! Will give brainliest. Hurry UP!

11-2m-[n+5+-m-3n+8
Simplify!

Answers

Answer: 4mn+2m^2 -26m+ 11

Step-by-step explanation:

Answer: --1• (3m + 4n -- 24)

Step-by-step explanation:

I have done this equation before I just can find how to do the problem sorry

In ARST, r = 86 inches, s = 77 inches and T=9º. Find the area of ARST, to the nearest square inch.

Answers

Answer:

518

Step-by-step explanation:

At a football game, 65% of people attending were supporting the home team, while 35% were supporting the visiting team. If 1300 people attending the game supported the home team, what was the total number of people attending the game? HELP ME I NEED AN A IN MATH!

Answers

Answer: 2000

Step-by-step explanation:

Percentage supporting home team = 65%

Percentage supporting visiting team = 35%

Number of people supporting home team = 1300

Let the total number of people attending the game be represented by x.

Therefore, 65% of x = 1300

65/100 × x = 1300

0.65 × x = 1300

0.65x = 1300

x = 1300 / 0.65

x = 2000

Therefore 2000 people attended the game.

The area of a square floor on a scale drawing is 49 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Answers

Answer:

the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

Step-by-step explanation:

The computation of the area and the ratio of the area is shown below:

The ratio of the drawing area to the actual area is  

= ((1 cm) ÷ (4 ft))²

= (1 cm²) ÷ (16 ft²)

 Now the actual floor area is  

(16 ft²) ÷ (1 cm²) = actual area ÷ (49 cm²)

= (16 ft²) × 49 ÷ 1

= 784 ft²

hence, the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

The perimeter of a regular 6 -sided figure is 30 units, and the length of each side is x + 1 units.
What is the value of x?

Answers

Answer:

x = 4

Step-by-step explanation:

since each side is equal to x + 1 and there are 6 sides, to get x alone, you have to subtract 1, six times from the perimeter.

1 × 6 = 6

30 - 6 = 24

then divide that by the number of sides (6)

24 ÷ 6 = 4

x = 4!

Use the scatter plot of car resale values to answer the following question.
A graph titled Car Resale Values has age of car on the x-axis, from 0 to 10 in increments of 2, and percentage of sticker price on the y-axis, for 0 to 100. A line of best fit goes through points (2, 80) and (9, 20).
What can you say about the correlation between the age of a car and its resale value?
a.
The trend line slopes downward from upper left to lower right, so there is a negative correlation between a car’s age and its resale value.
b.
The trend line slopes downward from upper left to lower right, so there is a positive correlation between a car’s age and its resale value.
c.
The trend line slopes upward from lower right to upper left, so there is a positive correlation between a car’s age and its resale value.
d.
There is no correlation between a car’s age and its resale value.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

taking the practice assignment

BRAINLY TO WHOEVER CAN HELP- ALSO IF YOU GIVE VIA FILESHARE PLS JUST GIVE ME A VERY BREIF SUMMARY CAUSE I CANT OPEN IT

Answers

Answer:

A':2,4

B'4,4

C'2,4

D'2,1.5

Step-by-step explanation:

Just half all the points so in the case of A the original point is 4,8. Dialating by 1/2 is splitting it in half so the new point would be A' 2,4

What is the area of the parallelogram shown below?

Answers

Answer:

135 units square

Step-by-step explanation:

The area of a parallelogram is calculated by multplying height and base

The height of the given shape is 15 units and the base is 9 units

15 × 9 = 135 units square.

What are the solutions to the equation (2x – 5)(3x – 1) = 0?

Answers

x = 5/2 or x = 1/3

C is the answer.

Answer:

x = 5/2 or x = 1/3

Step-by-step explanation:

Simplify  

( 2 x − 5 )( 3 x − 1 ) .

6 x 2 − 17 x + 5 = 0

Use the quadratic formula to find the solutions.

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Substitute the values  a = 6 ,  b = − 17 , and  c = 5  into the quadratic formula and solve for  x .

17 ±sqrt(-17)^2-4*(6*5)

_________________

2*6

Simplify.

x = 17 ± 13 /12

The final answer is the combination of both solutions.

x = 5 /2 ,  1 /3

The cost of boring a tube well 600 meter deep is as follows 25 paisa for the first metre and an additional 4paisa for every subsequent meter find the cost of boring a 500th meter long

Answers

The answer is 2021 paisa for the 500 metre long tube well

write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1,2,3,4,5.

Answers

Answer:

The relationship between these two sequences is it always doubles.  When we look at each sequence, 1, 2, 3, 4, 5, each number is multiplied by 2 to create the other sequence.

1 x 2 = 2.

2 x 2 = 4.

3 x 2 = 6.

4 x 2 = 8.

5 x 2 = 10.

When we arrange these numbers, 2, 4, 6, 8, 10, this is the exact sequence as before.  Therefore, this is the relationship.

Answer: 2, 4, 6, 8, 10,                           <                                |

                                                                                               |

Step-by-step explanation:                                                    |                                if you just  arange the numbers to 1 x 2 = 2                         |

                                                          2 x 2 = 4                       |

                                                          2 x 3 = 6                       |

  and then so on and so on you would get this answerer. |

If lines AB and CD are parallel, which of the following statements are true?
Check all that apply.
A. AB and CD are perpendicular
B. ABICO
O C. AB and CD intersect at a single point
D. AB || CD
E. AB and Co are skew lines
F. AB and CD are coplanar

Answers

Answer:

D

F

Step-by-step explanation:

Parallel lines are lines of equal distance apart (equidistant), that are on the same plane but they never meet

Perpendicular lines meet thus they are not parallel lines

Also, lines that intersect , meet, thus they are not parallel lines

Answer: D. AB||CD

              F.  AB and CD are coplaner

Step-by-step explanation:

help help help help

Answers

Answer:

15π cubic units

Step-by-step explanation:

the formula for the volume of a cone is:

V = (base area x height) / 3

In this case we have

(5π x 9)/3 = 15π cubic units

Answer:

235.5 Cubic Units

Step-by-step explanation:

V=1/3B*H

=1/3(π5^2)9

=1/3(3.14*25)9

=3(3.14*25)

=75*3.14=235.5 Cubic Units

Find the slope of the line.
Will give brainiest if correct.

Answers

Answer:

1,2

Step-by-step explanation:

Answer:

The slope of the line is (2)

Step-by-step explanation:

Good luck ^_^

find the perimeter of the figure ​

Answers

Answer:

(19x+10)/2

Step-by-step explanation:

Perimeter of the figure is the sum of all the sides

Perimeter of the figure = 4x+3 + x+2+2x+2 + x/10 -1 + 2x/5 + 2x-1

Perimeter of the figure = 4x+x+2x+2x+x/10+2x/5 + 3 + 2 + 2 -1-1

Perimeter of the figure = 9x + (x+4x)/10 + 5

Perimeter of the figure = 9x + 5x/10 + 5

Perimeter of the figure = 9x + x/2 + 5

Perimeter of the figure = (18x+x)/2 + 5

Perimeter of the figure = 19x/2 + 5

Perimeter of the figure = (19x+10)/2

GUYS ANYONE HERE I REALLY NEED HELP PLS! Find the area of the polygon with vertices D (-1, 2), E (2, 2), F (2, -1), and G (-3, -1). If necessary, round to the nearest tenth

Answers

Answer:

48 units

Step-by-step explanation:

1. graph

2. separate into a triangle and a square

3. the square is 6x6 squares, so 36 there

4. the triangle is 4x6, so (4x6)/2 is 12

5. 36+12 = 48 units

A VERTICAL line passes through the point (4, 5). Find an equation for this line.
A)
X = 4
B)
y = 5
C)
y = 4
D)
y = 4x + 5

Answers

Answer:

A

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, 5 ) with x- coordinate 4 , then

x = 4 ← equation of vertical line → A

Solve for angle G. Type just the number. Round to the nearest degree (whole
number) *G

Answers

All triangles add up to 180 degrees, so you do 180 - 23 - 18 which is 139

in 1910, halley's comet traveled close to earth about 1/7 of the distance from the earth to the sun. Earth's distance from the sun is 149.6 million kilometers. ( if u answer all them i'll give u brainliest but if not its alr)

1. How close was halley's comet to earth in 1910?create an equation to answer the question.

2. estimate the next 3 years when halley's comet will appear.

3. the core of halley's comet is oblong in shape, with its longest dimension 16 km long. earth's diameter is about 12,700 km . how many times larger in diameter is earth than halley's comet?

Answers

1) In 1910, Halley's Comet was 21.37 million kilometers close to Earth.

2) Given that Halley's Comet orbits the sun at about 75 years, and that the last time it passed near the Earth was in 1986, the years in which it will happen again will be 2061, 2136 and 2211.

3) Earth is 794 times larger in diameter than Halley's Comet.

Since in 1910, Halley's Comet traveled close to Earth about 1/7 of the distance from the Earth to the Sun, and Earth's distance from the Sun is 149.6 million kilometers, to determine 1) how close was Halley's Comet to Earth in 1910, 2) estimate the next 3 years when Halley's Comet will appear, and 3) if the core of Halley's Comet is oblong in shape, with its longest dimension 16 km long, and Earth's diameter is about 12,700 km, how many times larger in diameter is Earth than Halley's Comet, the following calculations must be performed:

1)

149.6 / 7 = X 21.37 = X

2)

1986 + 75 = 2061 2061 + 75 = 2136 2136 + 75 = 2211

3)

12700/16 = X 793.75 = X

Learn more about maths in https://brainly.com/question/26088658

The relationship between Halley's comet and the earth is an illustration of proportions

The given parameters are:

Earth's distance from the sun = 149.6 million kilometersHalley's comet traveled close to 1/7 of the distance.

(a) The distance

The distance which Halley's comet get to is calculated using:

[tex]d = \frac 17 \times 149.6\ million\ km[/tex]

So, we have:

[tex]d = 21.37\ million\ km[/tex]

Hence, Halley's comet was 21.37 million kilometers close to the earth in 1910.

(b) The next three years it will appear

From the complete question, the comet is visible every 74 years.

It appears in 1910.

So, the next three years are:

[tex]Year\ 1 = 1910 + 74 = 1984[/tex]

[tex]Year\ 2 = 1984 + 74 = 2058[/tex]

[tex]Year\ 3 = 2058 + 74 = 2132[/tex]

Hence, the comet will appear in 1984, 2058 and 2132.

(c) The number of times the earth is larger

The diameter of the earth is given as: 12700 km, while the longest dimension of the oblong shaped comet is 16 km.

So, the number of times (n) which the earth is greater than the comet is:

[tex]n = \frac{12700}{16}[/tex]

[tex]n = 794[/tex] --- approximated

Hence, the diameter of the earth is 794 times larger than Halley's Comet.

Read more about proportion at:

https://brainly.com/question/1781657

is searching online for airline tickets. Two weeks​ ago, the cost to fly from to was ​250$. Now the cost is 330 ​$. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

Cost increases to $330.

The percent increase here would be:

= (New price - Old price )/ Old price

= (330 - 250) / 250

= 0.32

= 32%

Cost increases to $330 and charges $50 baggage fee

= (New price - Old price )/ Old price

= (330 + 50 - 250) / 250

= 0.52

= 52%

can sumone please help meeeeee i dont know what to dooooooo thank youuuuuu so muuuuuuuuuch

Answers

Answer:

imma say the answer is 6

Step-by-step explanation:

hi im back

When Daniel left his house in the morning, his cell phone battery was partially
charged. Let B represent the charge remaining in Daniel's battery, as a percentage,
hours since Daniel left his house. The table below has select values showing the linear
relationship between t and B. Determine how much battery life Daniel's phone
would have 1.5 hours after leaving his house.
t
B
1
27.5
2.5
19.25
4
11

Answers

Answer:

24.75 percents

Step-by-step explanation:

Can you solve the inequalities 9.50(70+x)≥1000

Answers

Answer: x_>(70+x_>)1000

Step-by-step explanation:

Answer:

35.26315789

Step-by-step explanation:

Question: 9.5(70+x)≥1000

70+x≥1000/9.5

(divide by 9.5 into both sides)

70+x≥105.2631579

x≥105.2631579-70

(minus 70 into both sides)

x≥670/19

x≥35.26315789

Find the value of n in the figure below. Assume that the lines are parallel. What is the answer????​

Answers

Answer:

C

Step-by-step explanation:

75= to that equation

75-15=60/2=30

n=30

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