Write the equation of the line that passes through the points (1,6) and (3, -4)

A. y = -5x + 11

B. y = x - 11

C. y = 5x +3

D. y = 2x -3

Answers

Answer 1

Answer:

A. y = -5x + 11

Step-by-step explanation:

The general form of the equation of a line is given as

y - y1 = m (x - x1)

where m is the slope and x1, y1 are the coordinates of a point on the line.

m = (y2 - y1)/(x2 - x1)

Given the points (1,6) and (3, -4)

m = (-4-6)/(3-1)

=-10/2

= -5

The equation of the line will be

y - 6 = -5(x -1)

y - 6 = -5x + 5

Add 6 to both side

y = -5x + 5 + 6

y = -5x + 11

Option A


Related Questions

4x^2-4x+1 factoring special cases

Answers

Answer:

(2x−1)(2x−1)

Step-by-step explanation:

Factor 4x2−4x+1

4x2−4x+1

=(2x−1)(2x−1)

Translate: Four less than twice a number is
twelve

Answers

The answer is 8
8*2=16-4=12

What 2 numbers multiply to make -48 and combine to make 2?
____ and ___

Answers

-6x8 equals -48 and adds to give you positive two

4 and -12 are equal to -48

How many unique triangles can be drawn with side lengths 12 cm and 16 cm, and a 50° included angle?
A. 0
B. 1
C. 2
D. an infinite number

Answers

ANSWER:

1 unique triangle

Step-by-step explanation:
There are several ways to determine if the information given about a triangle produces a unique triangle or not. One option is to provide two side lengths and the angle included between them, this is known as SAS (side-angle-side) congruence, this is not to be confused with SSA (side-side-angle) congruence. Since this is one of the groups of givens that provides a unique triangle, then the number of unique triangles that can be drawn is 1 unique triangle.

Restaurant has an early bird special of $7 per plate before 4 PM. The regular price after 4 PM is $9 per plate. If the restaurant sold 93 plates and made $733, how many of those plates were early bird specials

Answers

Answer:

the early bird special plate is 52

Step-by-step explanation:

Let us assume the early bird special be x

And, regualr price be y

Now the equations are

x + y = 93

7x + 9y = 733

Now multiply by 7 in equation (1)

7x + 7y = 651

7x + 9y = 733

Now subtract these two equations

-2y = 82

y = 41

x = 93  - 41

= 52

hence, the early bird special plate is 52

Your cat is 8 years younger than your friend. In 4 years, your friend will be twice as old as your cat. How old is your cat now?
years old

Answers

Answer:

your  cat will be 12 your friend will be either 16 or 24

Step-by-step explanation:

Friend is 12 years old and cat is 4 years old.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Given,

Cat is 8 years younger than your friend

Let age of friend be x

then, age of cat be x - 8

But In 4 years, your friend will be twice as old as your cat

x + 4 = 2(x - 8 + 4)

x + 4 = 2x - 16 + 8

x + 4 = 2x - 8

-2x + x = - 12

x = 12

Age of friend = 12 years

Age of cat = 12 - 8 = 4 years

Hence, 12 years is age of friend and 8 years is age of cat.

Learn more about equation here:

https://brainly.com/question/1529522

#SPJ5

Please Help me! ASAP

Answers

Your answer would be 44

Find the volume of the given shape. Round your answer to the nearest
hundredth if necessary.*

Answers

Answer:

Step-by-step explanation:

It is a sphere with radius r = 5 cm

volume = (4/3)πr³

  = (4/3)π(5³)

  ≅ 523.60 cm³

In a game, Annie needs three cards that have a sum of 4. Pick on three cards that Annie ​could choose.

A). 2
B). -8
C). 3.5
D). -1.5
E). 1

Answers

Answer:

A, C, and D

Step-by-step explanation:

2 + 3.5 - 1.5 = 4

The answer is C-DA

3.5-1.5=2
2+2+4

If 1/3 = 1/A+1/B where A and B are different whole numb rs, find the value of both A and B.
(working)​

Answers

The answer is 4 and 12

The quickest way in this one was to just start checking while numbers as A until you get one for B, you know both A and B have to be greater than 3 for their inverse to create smaller fractions to add up to 1/3, in this case you would test 4 first giving you 1/3=1/4+1/B then see if B being their common denominator gives the right solution to the equation 1/3=1/4+1/12 Becomes 4/12=3/12+1/12 which does work out

He starts from school, which is at the location indicated by the point on the grid above. He then walks to the library 5 units west. After the library, he goes to the gym, which is 6 units north. From the gym, he goes to his guitar class, which is 3 units west. Which of the following is the location of his guitar class?

Answers

Answer:

So, David's guitar class is located at point (-6,2) on the coordinate grid.

Step-by-step explanation:

David starts from school, which is two units to the right and four units down from the origin. This location is indicated by the point (2,-4).

He walks 5 units west to the library.

So, find the point that is 5 units to the west of point (2,-4). Distances east and west on the grid represent a change in the x-coordinate. Moving 5 units to the west on the grid from point (2,-4) places the new location at point (-3,-4).

He then walks 6 units north to the gym.

So, find the point that is 6 units to the north of point (-3,-4). Distances north and south on the grid represent a change in the y-coordinate. Moving 6 units to the north on the grid from point (-3,-4) places the new location at point (-3,2).

David then walks 3 units west to his guitar class.

So, find the point that is 3 units to the west of point (-3,2). Moving 3 units to the west on the grid from point (-3,2) places the new location at point (-6,2).

A trapezoidal window is 8 feet tall and has base lengths of 1 foot and 7 feet. What is the area of the window? The area of the window is _____ square feet.


Can you help me do it.

Answers

Answer: 32 ft²

Step-by-step explanation:

The area of a trapezoid is calculable using the formula:

= (a + b)/ 2 * height

Where a and b are the base lengths.

= (1 + 7) / 2 * 8

= 8/2 * 8

= 4 * 8

= 32 ft²

Please help me answer #2 and #3.

Answers

Answer:

#2 - Definition of midpoint

#3 - Vertical Angles Theorem

0.5 g of salt is equal to how many milligrams??

Answers

Answer:

500mg

Step-by-step explanation:

1g= 1000mg

..5=500mg

Answer:

.5 grams=500 milligrams

Step-by-step explanation:

Chris had 30 dollars to spend on 3 gifts. He spent 9 7 10 dollars on gift A and 3 2 5 dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

4 dolars left

Step-by-step explanation:

im smart

the question is in image!!!!!! plz answer you’ll get 95 points!!

Answers

Answer:

Option A is correct

Step-by-step explanation:

Given functions f(x) and g(x). f(x) is:

f(x) = x^2 + 4x + 6

Converted into vertex form, it is:

f(x) = (x + 2)^2 + 2

g(x) has vertex at (-2, -14), it's vertex form is:

g(x) = (x + 2)^2 - 14

Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).

Both have positive leading factors, therefore the vertex is their minimum point.

Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.

Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.

Correct choice is A

Answer:a

Step-by-step explanation:

Did it

Help me please :(((( I need the formula and faces

Answers

Answer:

for prism

let n= no.of sides of the shape of end face

face=n+2

vertices=2n

edge=3n

atq...shape of prism. F. V. E

triangle n=3. 5. 6. 9

rectangle. 6. 8. 12

Pentagon. 7. 10. 15

hexagon. 8. 12. 18

by puuting value of n in above formulas a for f v and e

7. sınıf kaynak öner misiniz ?​

Answers

Answer:

Hayır, maalesef sınıf başvurum yok

Step-by-step explanation:

What is the solution to the equation 4x + 2(x – 3) = 3x + x - 12? (1 point)
1)-3
0 2 -1
3) 1
4) 3

Answers

Answer:

the answer to this problem is -3

Nationally, the proportion of red cars on the road is 0.12. A statistically
minded fan of the Philadelphia Phillies (whose team color is red) wonders if Phillies fans are
more likely to drive red cars. One day during a home game, he takes a random sample of 210
cars parked at Citizens Bank Park (the Phillies home field), and counts 35 red cars.
(a) State appropriate hypotheses for performing a significance test. Be sure to define the
parameter of interest.

Answers

Answer:

Null hypothesis: proportion of red Phillies cars is 0.12.

Alternate hypothesis: proportion of red Phillies cars is not 0.12.

Step-by-step explanation:

Please help it's due today. Also please don't help if you don't know.​

Answers

Answer:

[tex] {x}^{16} {y}^{22} [/tex]

Step-by-step explanation:

multiple the top exponents by 3 and the u subtract the bottoms

10-+19 please be quick lol

Answers

Answer:

Are u asking what 10 +19 is its 29

7 5/8 =____
+6 6/7=+____
____= ____

Answers

7 5/8 + 6 6/7= 14 27/56

Jessica loves to walk. She walks 3 miles each day. If she wants to walk a total of 57 miles how many days should she walk? Write an equation to show this problem along with the answer. *PLEASE SHOW WORK

Answers

Answer:

the answer is 57÷3 =19 days

Emily can arrange 20 vases of flowers in 6 hours. Find Emily's rate per hour for arranging
flowers.

Answers

Answer:

[tex]3 \frac{1}{3}[/tex] vases per hour

Step-by-step explanation:

To find the unit rate, solve the total amount of vases that Emily arranged divided by the amount of time that Emily took to arrange the vases.

Or, in other words, solve 20 ÷ 6, since Emily arranged 20 vases and it took her 6 hours to complete it.

You can do this by hand or you can do it on a calculator.

After you solved it, you should get [tex]3 \frac{1}{3}[/tex], or 3.33333...

So, Emily's rate is [tex]3 \frac{1}{3}[/tex] vases per hour.

Please mark as Brainliest!!!

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A
Which equation models the total number of cups of flour, c, Henry needs?
c+214=10
214×c=10
10+c=214
214×10=c
Part B
How many cups of flour does Henry need?
2014cups
2212cups
2434cups
2512cups
Part C
Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.​

Answers

Answer:

Step-by-step explanation:

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A

Which equation models the total number of cups of flour, c, Henry needs?

c+214=10

214×c=10

10+c=214

214×10=c

Part B

How many cups of flour does Henry need?

2014cups

2212cups

2434cups

2512cups

Part C

Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.​

Write a function rule for the statement, “The output is 4 less than the input.” Then, complete the table.
Slope:
y-intercept:
equation:

Answers

Answer:5

Step-by-step explanation:

Answers:

Slope:  1y-intercept:  -4equation:     y = x-4y outputs: -4, -3, -2, -1, 0

Those y outputs are placed into the table in the order shown. For instance, -1 goes right underneath the '3'.

========================================================

Explanation:

Let's find the equation first. The function rule is "the output is 4 less than the input". So whatever the input x is, we subtract off 4 to get the output y.

This leads directly to the equation y = x-4

This is the same as saying y = 1x-4 which is in the form y = mx+b

m = 1 is the slope and b = -4 is the y intercept

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

Once we have the equation, we plug in the given input x values one at a time to find their corresponding y values.

For example, if x = 0, then,

y = x-4

y = 0-4

y = -4

So we have x = 0 pair up with y = -4. We write -4 underneath the 0 in the table given.

Then we write -3 under the "1" in the table because

y = x-4

y = 1-4

y = -3

And so on. Repeat this process until you get to x = 4.

You should have these ordered pairs

x = 0, y = -4x = 1, y = -3x = 2, y = -2x = 3, y = -1x = 4, y = 0

you invested 1,000 in an account with interest rate at 2% compounded continuously. how long until 1400 is in your account?

Answers

Answer:20 months

Step-by-step explanation:

2% of 1000 is 20 1000-1400=400

400/20=20 so 20 months

During the American Revolution, women... i need help now please i will give 11 points


1.ran family businesses.

2.cared for the troops.

3.helped raise money for the war.

4.all of the above

Answers

Answer:

its 4 or d

Step-by-step explanation:

hope this helps!

please mark me brainliest! thanks!

The scale drawing of a rectangular playground is shown.
27. 24 cm Playground 20 cm
The actual length of the playground is 36 feet. Using the scale drawing of the rectangle, what is the actual width of the playground?

A. 19 feet
B. 30 feet
C. 32 feet
D. 40 feet

Answers

It’s b beacuse of the actual length of the playground is 36 feet using the scale drawing
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