Find the equation of the line passing through the points 7,2 and 9,1

Answers

Answer 1

9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(9 -7) = -1/2

The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

Alternative solution

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.


Related Questions

Pre college need help

Answers

Answer:

No

Step-by-step explanation:

Substituting into both equations proves that the second equation does not work for the ordered pair provided

Answer:

No

Step-by-step explanation:

2+(-5)=3

4(2)+3(-5)=-7

-6x - 3= 27
Help pless ​

Answers

Answer:

x=-5

Step-by-step explanation:

-6x-3=27

add 3 to both sides

-6x=30

divide both by -6

x=-5

I hope this helped :)

Answer:

[tex] \sf \: x = - 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -6x - 3 = 27

Then the value of x will be,

→ -6x - 3 = 27

→ -6x = 27 + 3

→ -6x = 30

→ x = 30 ÷ (-6)

→ [ x = -5 ]

Hence, the value of x is -5.

Please help please please help me please help please please

Answers

Answer:

y - 6 = -3 ( x - 7)

Step-by-step explanation:

Use one of the points.

m is the slope

☆Answer : (X1, Y1) = (7, 6) (X2, Y2) = (11, -6)m = -3

Y - Y1 = m(X - X1)

y - 6 = -3(x - 7)

y - 6 = -3x + 21

y - 6 + 3x - 21 = 0

y - 27 + 3x = 0

3x + y - 27 = 0

Please help me, thanks

Answers

Answer:

I dont know

Step-by-step explanation:

Can you type in the question please and ty

а (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana cake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?

(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked? ​

Answers

Answer:

(b)(i) LCM of 45 and 50 = 450

Hence, it take 450 minutes until both ovens ding simultaneously.

(b)(ii) 450÷50=9 banana cakes baked

        450÷45=10 chocolate cakes baked.

is 0.045 greater than 0.00195​

Answers

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

A coin is flipped 10 times. What is the probability of getting exactly 4 tails?

Answers

Answer: The probability is approximately 20.51%.

Step-by-step explanation:

What is a number and how do i get it when i do the thing?

Answers

Answer:

number is a mathematical object used to count, measure, and label. ... Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called numerals; for example, "5" is a numeral that represents the number five.

ILL GIVE BRAINLIEST!!! Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy?

Answers

Answer:

The answer is 7 she Can Buy 7 packages of cookies.

Step-by-step explanation:

1. 15-5.50=9.50

2.9.50-7.75=1.75

3. 1.75-0.25*7=0

She wouldn't have any money left over to buy it

Which table does NOT represent a linear function?

Answers

Answer:

3rd

Step-by-step explanation:

3rd one because rate of change is not same

18 - 15 / 0 - -1 = 3

20 - 18 / 1 = 2

21 - 20 / 1 = 1

Answer: i honestly think it would be the table with:

-1,15

0,18

1,20

2,21

Step-by-step explanation: hope this helped ty for the points

you have a goal to sell 100 tickets to a school pizza party if you only completed 50 percent of your goal , did you sell more or fewer than 100 tickets ?

Answers

Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form

Answers

y=2/3x -3

the picture is the explanation

Evaluate 10.5s + 9.9t when s=3 and t = 4

Answers

Answer:

71.1

Step-by-step explanation:

Answer:

71.1 is the answer

Step-by-step explanation:

A man earned £6500 for the month. He paid 2/5 in tax . How much did he have left to spend?

Answers

Answer:

$2600

Step-by-step explanation:

Im not too fond of the conversion of Pounds and USD. But if it were USD 2/5 of the amount would be $2600

please help.......,................​

Answers

Answer:

8×1=8+64=72

Step-by-step explanation:

there is your answer are you happy now

Question 1
2 pts
A game uses a single 6-sided die. To play the game, the die is rolled one time, with the
following results:
• Even number = lose $7
1 or 3 = win $2
5 = win $8
.
.

Answers

Answer:

sorry 400

Step-by-step explanation:

what is the distance between the coordinates (9, -2) and (9, 8) show your work on a coordinate grid pleas help mee

Answers

Answer:

10

Formular for finding distance between two points; (x2-x1)² + (y2-y1)² (all square root)

X1=9

X2=9

Y1=-2

Y2=8

Distance= (9-9)²+(-2-8)² (all square root)

=(0)²+(-10)² (all square root)

=0 + 100 (square root)

=100 square root

=10

Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.

Answers

The area of the pool is the amount of space it occupies

The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Let the dimension of the pool be x and y, where x represents width and y represents length.

So, the relationship between the width and the length is given as:

[tex]\mathbf{y = 15 + x}[/tex]

The area of the pool would be:

[tex]\mathbf{A = xy}[/tex]

Substitute 15 + x for y

[tex]\mathbf{A = x(15 + x)}[/tex]

Open bracket

[tex]\mathbf{A = 15x + x^2}[/tex]

And the perimeter of the pool would be

[tex]\mathbf{P = 2(x + y)}[/tex]

Substitute 15 + x for y

[tex]\mathbf{P = 2(x +15 + x)}[/tex]

[tex]\mathbf{P = 2(2x +15)}[/tex]

Open brackets

[tex]\mathbf{P = 4x +30}[/tex]

Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Read more about areas and perimeters at:

https://brainly.com/question/11957651

A pattern has 6 blue triangles to every 42 yellow triangles. What is the ratio in lowest form of yellow triangles to blue triangles?

Answers

7 to 1 is the answer

Answer:

7:1

Step-by-step explanation:

The original ratio was 6:42. To simplify this, we can find the greatest common factor for 6 and 42 by listing out their factors.

6: 1, 2, 3, 6

42: 1, 2, 3, 6, 7, 14, 21, 42

6 is the greatest common factor they share. We now need to divide each side by this number. This leaves us with 1:7. Since they want us to write the ratio in yellow triangles to blue triangles instead of blue triangles to yellow, we just need to flip the ratio to 7:1.

What is his error? Try to describe the picture. (Pls help I need 4 pages due tomorrow)

Answers

Answer:

Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.

Step-by-step explanation:

Even if both 1/4 is left, that doesn't mean you started with the same amount.  Also, both 1/4 pieces are different shapes and sizes, making him wrong.

Hope this helped!! :)

Plz help I need help

Answers

Answer:

a is 4 because 4 x 16=20 i hope this help

Answer :

a + 16 = 20

a = ?

a = 20 + 16

a = 36

a = 36 ✔️

HELP ME
NO BOTS
BRAINLIST TO FIRST CoRrEcT ANSWER

Answers

Answer:

The answer is A.

Step-by-step explanation:

5 - 1 = 4

10 - 6 = 4

15 - 11 = 4

20 - 16 = 4

25 - 21 = 4

Answer:

The correct answer should be B

Step-by-step explanation:

B is also number 5

What is the advantage of opening a credit card account at a young age?
A. It helps people begin to build a credit history.
B. It helps people begin to accumulate debt.
C. It allows people to take advantage of high interest rates.
D. It allows people to defer their tax payments.

Answers

Answer:

A. it helps people begin to build credit history.

Step-by-step explanation: It wants to know an ADVANTAGE! B is NOT an advantage. C high interest rates are very bad and make you pay more so its not C. D do i even really have to explain? lol the correct answer is A :)

Answer:

A. It helps people begin to build a credit history.

Step-by-step explanation:

Can anyone plz help me out with this?
I am all mixed up
I also need to find the axis of symmetry as well.
Thanks for the help
I appreciate it

Answers

Answer:

Down here    ↓↓↓↓↓

Step-by-step explanation:

(a) Does the Parabola open upward or downward

Upward - the open "space" is above the vertex, so it opens upward

(b) X and y  intercepts

x - intercepts : where the graph touches the x - axis

                      x - intercepts = (2, 0) , (4, 0)

Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0

y - intercepts : where the graph touches the y - axis

                      y - intercepts = (0, 3)

(c)  Vertex of the parabola

vertex: the point of symmetry

          vertex : (4, -1)

(d) Axis of symmetry

axis of symmetry : x - value of vertex

                            axis of symmetry : x = 4

-Chetan K

What is the reciprocal of
5/6

Answers

Answer:

6/5

Step-by-step explanation:

From a group of 15 men and 12 women, how many ways can you select a group of 2?
Answer:

Answers

The total number of ways this can be done together is 105 × 66 = 6930

This is a combination question question it has to do with selection.

In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;

15C2 = 15!/(15-2)!2!

15C2 = 15!/13!2!

15C2 = 15×14/2

15C2 = 105 ways

Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;

12C2 = 12!/(12-2)!2!

12C2 = 12!/10!2!

12C2 = 12×11/2

12C2 = 66 ways

The total number of ways this can be done together is 105 × 66 = 6930

Learn more about combination here: https://brainly.com/question/14492965

PLEASE HELP REWARDING A LOT

Answers

Answer:

(4,5)

Step-by-step explanation:

Round any answers to the nearest tenth if necessary.
ad
Technology required. Find the
missing measurements.
nd
35
А.
21
B
BC is 40
I
units, degrees, and 60
degrees.

Answers

He’s gonna give u a link he did it to me and it didn’t work

How many groups of 1/2 are in 7

Answers

Answer:

14

Step-by-step explanation:

There would be 14 groups of 1/2 in seven

Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?

Answers

Answer:

you told me to resolve this problem

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

you add the thing then multipy it then do math!

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