Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y =​

Answers

Answer 1

Answer:

Step-by-step explanation:

given: (2,1) & (5-8)

first find the slope,

m= (Y2-Y1) / (X2-X1)    

m=(-8-1)/(5-2)

m=(-9)/(3)

m=-3

we have y=-3x+b

use any point to sub in x and y

1=-3(2)+b

1+6=b

b=7               therefore, y=-3x+7 is the equation

Answer 2

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ), then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line


Related Questions

determine the equation of the line

Answers

Answer:

y=5x-12

Step-by-step explanation:

the slope is 5 and y int. is -12

how many times does 50 go into 102?​

Answers

2 because 50 x 2 is 102

Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2

Step-by-step explanation: 2 times 50= 100

There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up

Answers

Answer:

2 rows of 41

Step-by-step explanation:

i had the same question

The number of possible ways can the chairs be lined up is 2 rows of 41.

Given that,

There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows.

Based on the above information, the calculation is as follows:

[tex]= 2 \times 41[/tex]

= 82 chairs

Here 2 denotes the rows.

Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.

Learn more: brainly.com/question/13549064

what is the cost of 1 pound of pears?

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

$1.75

Step-by-step explanation:

Neeeeeed help?!?!!!!!!!

Answers

Step-by-step explanation:

number of minutes I guess

y−4=7(x−6) what is the ordered pair solution for this problem

Answers

This is your perfect answer

Mrs Jonas has 35 students in her math class. If her class increases to 42 students next year what will be the percent of change?

A) 335

B) 93%

C) 75%

D) 20%

Answers

Answer:

D. because I did it

Step-by-step explanation:

got it right.

Answer:

20%

Step-by-step explanation:

well if the class would increase 35+35 it would be 50 % so its supposed to be a smaller percentage

Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?
(I mark Brainlist)

A. y = 9.5x + 22.5
B. y =22.5 + 9.5
C. y = 9.5x - 22.5
D. y = 22.5x - 9.5

Answers

Answer:

C or A

Step-by-step explanation:

I think that it is most likely C but you could try A to

what is 7.0893 as a decimal but in word form.​

Answers

Answer:

seven and eight hundred ninety-three ten-thousandths

Step-by-step explanation:

Seven and eight hundred ninety-three ten- thousand or seven point zero eight nine three

There are 130 people in a sport centre.

61 people use the gym.

68 people use the swimming pool.

60 people use the track.

25 people use the gym and the pool.

30 people use the pool and the track.

19 people use the gym and the track.

6 people use all three facilities.

Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

What is 16 x 2? This is a random question! I want to give away points so be quickkkkk!

Choose
A) 31
B) 34
C) 32
D) chicken wing

Answers

Answer: C.)32 Bestieeeee

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the green shape is a dilation of the black shape.what is the scale factor of the dilation? ​

Answers

Answer:  5

Step-by-step explanation:

Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]

Given: Black triangle ( original) having perpendicular with length 4 units.  [2 blocks above and 2 boxes below the x-axis ]

Green triangle ( image) having corresponding side as 20 units  [10 blocks above and 10 boxes below the x-axis ].

Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]

Hence, the scale factor of the dilation = 5

A spinner can land on either red, blue, green, or yellow. You spin once.
Find the number of possible outcomes in the sample space.
Please show me how to solve this.

Answers

Answer:

You have a 25% chance on landing on any of the colors  

Step-by-step explanation:

You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer

Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors  

What is the sample space of an experiment?

The sample space is the set that contains all possible outcomes for an experiment.

here, we have,

In this problem,

You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow

there are four colors in the spinner

if you divide the number of colors (4) and divide it by 100

you will get 25 and that is your answer

Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.

More can be learned about sample spaces at brainly.com/question/25861936

#SPJ3

plz help me asap i need help plz i will mark you as brainlist

Answers

Answer:

the third one

Can someone help with this I’ll mark u as brainlist

Answers

Answer:i don’t really k ow but i need points to ask questions

Step-by-step explanation:

cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.

A. 2,857.60

B. 38,577.60

C. 1,428.80

D. 5,715.20

Answers

Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.

What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answers

Answer:

I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)

Step-by-step explanation:

Question 6: please help me out here :(((

Answers

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

PLEASE ANSWER FAST I NEED HELPPP

Answers

The first answer is “B” and the second one is “D”. Attached below is my work.
I hoped this helped!! ^w^

If the price of beef rose from $8.72 per pound to $9.43 per pound, what is the percent of increase? Round to the nearest percent

Answers

Answer:

8.1%

Step-by-step explanation:

Step one:

given

initial price = $8.72 per pound

final price=  $9.43 per pound

Required

the % increase

Step two:

% increase= (final-initial)/initial*100

substituting we have

[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]

HELP WILL MARK BRAINLIEST

Answers

Answer:

The answer is D: y = -2x + 6

Step-by-step explanation:

the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars​

Answers

Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?

Answers

Your Answer should be 16

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

What is the diagonal?

A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.

Here given that,

In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect

at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],

[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]

So,

[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

To know more about the diagonals

https://brainly.com/question/28592115

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Please help me on this

Answers

Answer:

PAGE 1

8.) d

9.) b

PAGE 2

6.) b

7.) d

PAGE 3

4.) c

5.) a

PAGE 4

1.) c

2.) c

3.) a

PAGE 5

10.) b

11.) d

Step-by-step explanation:

PAGE 1

8.) x - 20 + x + 10 = 180 (collect like terms)

2x - 10 = 180 (add 10 on both sides)

2x = 190 (divide by 2 on both sides)

x = 95

9.) 2y + y = 180 (collect like terms)

3y = 180 (divide by 3 on both sides)

y = 60

x = y ----> x = 60

PAGE 2

6.)  16x - 6 = 90 (add 6 on both sides)

16x = 96 (divide by 16 on both sides)

x = 6

7.) 5x + 30 = 7x (subtract 5x on both sides)

30 = 2x (divide by 2 on both sides)

15 = x

PAGE 3

4.) <8 and <16 are corresponding angles

5.) 180 - 130 = 50

PAGE 4

1.)  HD and GE are skew lines

2.) AC, EG, and BD are parallel to FH

3.) EF, GH, and BF are perpendicular to FH

PAGE 5

10.) | and || only are the only ones correct

11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.

b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.

Hope this helps ya!!

how to find radius of the base examples​

Answers

Answer:

r=[tex]\frac{c}{2\pi }[/tex]

Step-by-step explanation:

Help me find the area please!

Answers

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

At Samantha's Hats, there are 12 baseball caps and 4 other hats. What percentage of the hats are baseball caps?

Answers

75% are baseball caps

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?

Answers

Answer:

Total possibilities = 16

Probability of a dime of the first draw is 10/16 = 5/8

Probability of a penny on the second draw = 1/15

Probability of both = 5/8 * 1/15 = 1/24

Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?​

Answers

Answer:

4.8

Step-by-step explanation:

4. write the following in standard form
four hundred, thirty - two thousand, six hundred eight

Answers

The answer is 432,608
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