Find the equation of the line with slope =8 and passing through (3,21) write your equation in the form y=Mx+b

Answers

Answer 1

Answer: y = 8x -3

Step-by-step explanation:

we know the slope already which is 8.

so the equation is: y = 8x + b

subsutite the x and y to get the value of b

21 = 8(3) + b

21 = 24 + b

b = -3

So the equation is: y = 8x -3

Answer 2

The equation with the given condition is y=8x-3.

Given that, the slope of an equation (m)=8 which is passing through (3, 21).

We need to find an equation for the given condition.

What is slope intercept form?

The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis). The equation of the line is the equation that is satisfied by each point that lies on that line.

Now, put m=8 and the coordinates (3, 21) in y=mx+b and simplify.

That is, 21=8×3+b

⇒21=24+b

⇒b=-3

So, the equation is y=8x-3

Therefore, the equation with the given condition is y=8x-3.

To learn more about the slope-intercept form visit:

https://brainly.com/question/9682526.

#SPJ2


Related Questions

A player hits the ball 30% of the time. If he gets 450 chances what is the total number of times he will hit the ball

Answers

Answer:

135

Step-by-step explanation:

100% = 450

1% = 4.5

30% = 4.5 x 30 = 135

I WILL GIVE BRAINLIEST PLS PLS PLS HELP ITS DUE TOMORROW PLS DO ALL FOR BRAINLIEST

Answers

Answer: Sorry but I don't know which one to do and can you move it too the left a little bit so I may see the whole sentence?

Step-by-step explanation:

A temperature probe registers a temperature
of -124° C. If the probe's temperature increases
by 8 °C per hour, after how many hours will it
be at a temperature of 4°C?

Answers

Answer:

16 hours

Step-by-step explanation:

Given

[tex]Initial = -124[/tex]

[tex]Rate = 8[/tex] per hour

Required

Determine the number of hours it gets to 4 degrees

Let the temperature at every hour, h be T.

So, we have:

[tex]T = Initial + Rate * h[/tex]

[tex]T = -124+ 8* h[/tex]

[tex]T = -124+ 8h[/tex]

To calculate the time it gets to 4 degrees. We first substitute 4 for T; then solve for h

[tex]4 = -124+ 8h[/tex]

Collect Like Terms

[tex]8h = 4 + 124[/tex]

[tex]8h = 128[/tex]

Solve for h

[tex]h = \frac{128}{8}[/tex]

[tex]h = 16[/tex]

The data gives the values of the 29 teams in the National Basketball Association, along with their operating incomes and revenues. Plots and correlations show that revenue predicts team value much better than does operating income. The least-squares regression line for predicting value from revenue is as follows: value = -123.298 + 4.242 revenue (a) What is the slope of this line?: 4.242 (b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue. What is the error in this prediction?: -123.298 + (4.242 * 147) = 500.276 547 - 500.278 = 46.724 (c) What is the correlation of revenue and value?: r = ?

Answers

Answer:

4.242;

$500.276 ; $46.724

Step-by-step explanation:

Given the regression equation :

value = -123.298 + 4.242 revenue

y = - 123.298 + 4.242x

y = team value ; x = Revenue

(a) What is the slope of this line?

From ;

y = mx + c

Where ; m = slope

Comparing the equation with, the model equation ;

mx = 4.242x ; Hence, slope, m = 4.242

(b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue.

Predicted value of hornets based on their revenue :

Revenue = $147,000,000

y = - 123.298 + 4.242(147)

y = - 123.298 + 623.574

y = 500.276

Predicted value is about $500.276 million.

What is the error in this prediction?:

Error = Actual - predicted value

Error = 547 - 500.276 = $46.724 million

6. Write an equation for a line that passes through (6, 12) and (10, 20).

Answers

Answer:

Step-by-step explanation:

Y = mx +b        / Slope intercept form

  mx - y = -b      / Standard form

6m -2 = -b   / Plug in ( 6,2)

-9m -10 = -b / Plug in  ( -9, 10)

 Solve the system of equation for m and b.

 6m -2 = -9m -10  , then   15m = -8      m = -8/15

     b = -6m +2     ,then         b= -6 ( -8/ 15) +2 = 78/15

    -8/15 X -  y = - 78/15

     8X +15y = 78  / Equation of in standard form

Note: This is a different methods of solving this problem. All methods find their roots coming from the basic premises.

Equation of a line in the slope intersect form is

   Y = mx +b

   To convert to standard form of ax + by =c

      Simply move over the parameters

       mx - y = -b        where a = m , and c = -b

      Then we feed coordinates of 2 points in there

       make a 2 equation with 2 unknown( m,b) to

       solve.

SOMEONE PLEASE HELP ME PLEASE SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP

Answers

Answer:

The answer is 8

Step-by-step explanation:

If this answer helped you then please consider marking this as brainliest and like this respone :)

1. Find the slope of the line using the points (10, 4) and (20, 0).

Answers

Answer:

10/-4 or 5/-2

Step-by-step explanation:

use y2-y1/x2-x1 equation.

find the product. write the product in simplest form 2/3 x 6

Answers

Answer:

4

Step-by-step explanation:

2/3 x 6 = (2)(6)/3 = 4

Answer:

2/3*6

2*2

4

Step-by-step explanation:

i have done directly

divide 6/3 ans will come 2

and multiply both 2

ans will come 4

PLS PLS PLS HELP!!! I'LL MARK BRAINLIEST!!!

Answers

Answer:

Its B

Step-by-step explanation:

Which has a greater value: 7.4-0.0022 or 7.39-0.0012?

Answers

Answer:

7.4-0.0022

Step-by-step explanation:

7.39-0.0012=7.3888

7.4-0.0022=7.3978

Answer:

7.4-0.0022

Step-by-step explanation:

that is the answer

Score: 0 of 1 pt
11 of 13 (10 complete)
HW Score: 50%, 6.5 of 13 pts
9.4.45
Question Help
A car rental company charges a daily rate of $25 plus $0.30 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $145. How
many miles did you drive?
miles
p
til
fi
t
-
vo
va
(1,1)
More
Enter your answer in the answer box and then click Check Answer
?

Answers

Answer:

3335552255442882283222333

400miles
145-25=120
120/0.30=400

Direction: Solve the given problems.
6. Two numbers are in the ratio of 2:3 If the bigger number is 6. what is the smallest one
_7. What number compared with 6 is the same as 36 compared to 6?
8. There are 24 red roses for every 6 roses. How many red roses are there if there
are 8 roses?
9.There are 7 children for every 2 adults in a plaza. How many adults are there,
if there are 21 children?
10.1f 12 pencils are bought for P60, how much will you pay for 25 pencils​

Answers

○=> Solution (6) :

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

[tex] =\tt 2 : 3 \: = \: x : 6[/tex]

[tex] = \tt \frac{2}{3} = \frac{x}{6} [/tex]

[tex] =\tt 2 \times 6 = 3 \times x[/tex]

[tex] =\tt 12 = 3x[/tex]

[tex] =\tt x = \frac{12}{3} [/tex]

[tex]\hookrightarrow\color{plum}\tt \: x = 4[/tex]

▪︎Therefore, the smaller number = 4

○=> Solution (7) :

36 compared to 6 = [tex] \tt \frac{36}{6} [/tex]

Let the number be x.

Which means :

[tex] = \tt \frac{36}{6} = \frac{x}{3} [/tex]

[tex] =\tt \frac{36 \div 2}{6 \div 2} = \frac{x}{3} [/tex]

[tex] =\tt \frac{36}{6} = \frac{18}{3} [/tex]

▪︎Therefore, the fractional number [tex] \tt \frac{18}{3} [/tex] is equal to [tex] \tt \frac{36}{6} [/tex].

○=> Solution (8) :

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

[tex] =\tt \frac{24}{6} = \frac{x}{8} [/tex]

[tex] =\tt 24 \times 8 = 6 \times x[/tex]

[tex] =\tt 192 = 6x[/tex]

[tex] =\tt x = \frac{192}{6} [/tex]

[tex]\hookrightarrow \color{plum}\tt x = 32[/tex]

▪︎Therefore, 32 red roses are there if there are 8 roses.

○=> Solution (9) :

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

[tex] = \tt \frac{7}{2} = \frac{21}{x} [/tex]

[tex] =\tt7 \times x = 2 \times 21 [/tex]

[tex] =\tt 7x = 42[/tex]

[tex] =\tt x = \frac{42}{7} [/tex]

[tex] \hookrightarrow \color{plum}\tt \: x = 6[/tex]

▪︎Therefore, 6 adults were there in the plaza.

○=> Solution (10) :

Cost of 12 pencils = P60

Cost of 1 pencil :

[tex] = \tt \frac{60}{12} [/tex]

[tex] =\tt P5[/tex]

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

[tex] =\tt 5 \times 25[/tex]

[tex] \color{plum}=\tt \: P \: 125[/tex]

▪︎Therefore, the cost of 25 pencils = P125

The formula to convert degrees Fahrenheit degrees Celsius is C = (F - 32) Which formula can be used to convert degrees Celsius to degrees Fahrenheit?

Answers

Answer:

(°C×9/5)+32= 32°F is the answer

URGENT!!!!!! PLEASE ANSWER !!!!!!
7) Grace earns $18 per hour working as a math tutor. Write and solve an
inequality that can be used to find how many hours she must work in a week to
earn at least $378.
_6)

Answers

Answer:

The equation is 18h=378

h=21

Step-by-step explanation:

So first you have to set up the equation

so if she makes 18 dollars an hour the first part of the equation would be 18h

She made 378 dollars in one week so now the equation is 18h=378

The answer is h=21 because 378/18 is 21

Find the area of the WHITE triangles region in square inches.
6 in
8 in

Answers

Answer:

6 in is the answer to this question

Blake is going to invest in an account paying an interest rate of 3% compounded annually. How much would Blake need to invest, to the nearest ten dollars, for the value of the account to reach $83,000 in 16 years?

Answers

Answer:

51720

Step-by-step explanation:

Find the value of. X in the proportion 5/9=x/36

Answers

Answer:

x=20 hope this helps :)

The value of X is 20.

To find this answer, you must first find the least common denominator of both fractions. In this case, the LCD is 36.

Next, you multiply the left side by 4/4. The fraction 4/4 is simply found by dividing the right side denominator (36) by the left side denominator (9). 9 goes into 36 4 times.

5/9 * 4/4 = 20/36.

Thus meaning X = 20. I hope this helps!

How would this triangle be classified?

Answers

Answer:

Isosceles acute

Step-by-step explanation:

2 of the sides are the same and 1 is different therefore it is isosceles. Alol the angles are acute.

Solve y = x + 6 for X.
x= y + 6
x= -y + 6
x = y - 6
x= -y - 6

Answers

Answer:

x=y-6

Step-by-step explanation:

First, flip the equation.

x+6=y

Finally, add -6 to both sides.

x+6+−6=y+−6

x=y−6

y=x+6
Subtracting 6 from both sides, we get
x=y-6
So, C. x=y-6 is the answer

Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have?

Answers

Answer:

7 Cows and 8 Chickens

Step-by-step explanation:

Note that cows have four legs each and chickens have two legs each.

if there were only cows, then 15 cows times 4 legs for each cow would give 15 x 4 = 60 legs. 60 is greater than 44, so some (maybe all) of the animals are chickens.

If there were only chickens, then 15 chickens times 2 legs for each chicken would give 15 x 2 = 30 legs. 30 is less than 44, so we have confirmed that there is a mixture of both cows and chickens on the farm.

One approach would be to build a table of possibilities:

Total legs will equal number of cows times 4 plus number or chickens times 2 and we know the total number of animals is 15, so we keep cows plus chickens equal to 15 and just keep adding a cow and subtracting a chicken and do the math until.we get 44 legs. We know that it will take less than 13 tries, since we already ruled out 15 cows or 15 chickens. We'll start with 1 cow and 14 chickens and go from there

1 Cow + 14 Chickens = (1 x 4) + (14 x 2) = 4 + 28 = 32 legs

2 Cows + 13 Chickens = (2 x 4) + (13 x 2) = 8 + 26 = 34 legs

3 Cows + 12 Chickens = (3 x 4) + (12 x 2) = 12 + 24 = 36 legs

4 Cows + 11 Chickens = (4 x 4) + (11 x 2) = 16 + 22 = 38 legs

5 Cows + 10 Chickens = (5 x 4) + (10 x 2) = 20 + 20 = 40 legs

6 Cows + 9 Chickens = (6 x 4) + (9 x 2) = 24 + 18 = 42 legs

7 Cows + 8 Chickens = (7 x 4) + (8 x 2) = 28 + 16 = 44 legs

We can stop here because we can see that 7 Cows and 8 Chickens have a total of 44 legs.

Another way to approach this is to use algebra and to make is shorter to write we can assign a variable to each item and relate them in some way.

Let's use the letter x to stand for cows and the letter y to stand for chickens so we don't have to keep writing chickens and cows. x and y are just common letters to use, by the way, could use w and k perhaps since cow has a w and chicken has a k...sadly they both start with c, so we can't use that for both.

We know a couple different, but related, things.

One thing we know is that the total number of animals is 15. We can write that as:

x + y = 15

That means cows (x) plus chickens (y) equals 15.

A second thing we know is that the total number of legs is 44. We can write that as

4x + 2y = 44

That means 4 times x (cow) plus 2 times y (chicken) is equal to 44 since each cow has 4 legs and each chicken has 2 legs.

Since we now have two related equations and two variables we can solve for the variables.

If we take the first equation and rearrange it, by subtracting x from both sides, we can see that one way to do it is the following

y = 15 - x

That means the number of chickens (y) is equal to 15 minus the number of cows (x). As long as we do the same thing on both sides of the equals sign the equation is still.equal...you will see this again below.

Now we can then substitute 15 - x for y in the second equation and then all we have is x in that equation. (We can do this because y is equal to 15 minus x...they both have the same value and mean the same thing...they are equal to each other)

4x + 2(15 - x) = 44

As you can see, we now have 2 times 15 minus x where we had 2 times y before. If we multiply the 2 through we get because 2 times 15 is 30 and 2 times x is 2x

4x + 30 - 2x = 44

We can subtract the 2x from 4x and we get

2x + 30 = 44

Now we can subtract 30 from both sides of the equation because as long as we do the same thing on both sides of the equals sign the equality holds true

2x + 30 - 30 = 44 - 30

30 minus 30 is zero and 44 minus 30 is 14 so now we have

2x = 14

If we divide both sides by two, we still maintain the equality and we get x on one side as 2x divided by 2 is 1x or just x and we get 7 on the other side as 14 divided by 2 is 7

x = 7

That means we have 7 Cows as x represents cows, so half the problem solved

If we now go back to our first equation,

x + y = 15

We can replace x with 7 and get

7 + y = 15

We can subtract 7 from both sides and maintain the equality and isolate y

7 - 7 + y = 15 - 7

Again, 7 minus 7 is zero so we have isolated y and 15 minus 7 is 8

y = 8

This means we have 8 Chickens since y represents chickens

Once again we have shown that Old MacDonald has 7 Cows and 8 Chickens

Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20

Answers

Answer:

20 because 40 is a positive and spent is negative

Step-by-step explanation:

Rolando is 13. In five years, his age will be 3/2 the age of his sister Marisa. How old will Marisa be in three years.

Answers

16 yah lol i know this

Which of the following describes the transformation of p(x)=x3 to the function q(x)=−(x−6)3−4 ?

A.)p is reflected over the y-axis and then tranlated 6 units right and 4 units up.

B.)p is reflected over the x-axis and then translated 6 units left and 4 units up

C.)p is reflected over the y-axis and then translated 6 units left and 4 units down.

D.)p is reflected over the x-axis and then translated 6 units right and 4 units down.

Answers

Answer:

A

Step-by-step explanation:

(X) =x3 to the function q(x-6)3-4

ANSWER THIS PLEASE WILL GIVE BRAINLEST

Answers

Answer:

i think it is 11%

Step-by-step explanation:

cause there is 11 of 20

110% I think. Sorry if it’s wrong

5(21+4) - i = 38
distributive property

Answers

Answer:

i = 87

Step-by-step explanation:

First, you would distribute 5 through the parenthesis by multiplying everything inside by 5. So 5*21=105 and 5*4=20. Next, you would add them together and simplify the equation to 125 - i = 38. Then you would subtract 38 from 125 to receive the equation 87 - i = 0. Finally, you would add i to both sides and get i = 87.

What is y when x =17

Answers

Answer:

The answer is 30

Answer:

y = 30

Step-by-step explanation:

There are 2 ways to find the answer to this.

#1

The relationship between x and y is y = x+13.

x is 17 so 17+13 would equal y.

17+13 = 30

y = 30

#2

rule for y: y increases by 4

26+4 = ?

26+4 = 30

y = 30

Round 10,982 to the nearest ten thousand

Answers

Answer:

10980

Step-by-step explanation:

10,000

Since the thousand is 0 you keep the ten thousand at 1 and make all other digits 0.

The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket?

Answers

Answer:

5555555

Step-by-step explanation:

I really dont know

Help ASAPP LIKE PLSSS SO FAST PLS

Answers

Answer:

0.44 and 44/100

Step-by-step explanation:

1
2
(x − 106) = 12 + 7x

Answers

Answer:

X=−10

Step-by-step explanation:

i hope this helps you ^_^

have a nice day/night

Equation/Question:

1/2(x-106)=12+7x

Answer/Steps to answer: (x= -10)

1. Simplify  1/2(x-106) to x-106/2.

x-106/2=12 + 7x

2. Multiply both sides by 2.

x−106=24+14x

3. Subtract x from both sides.

−106=24+14x−x

4. Simplify  24+14x-x to  24+13x.

-106=24+13x

5. Subtract 24 from both sides.

-106-24=13x

6. Simplify  -106-24 to −130.

-130=13x

7. Divide both sides by 13.

130/13=x

8. Simplify  130/13 to  1010.

-10=x

9. Switch sides.

x=-10

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

Checking:

1/2(x−106)=12+7x

1. Let x=-10x=−10.1

1/2​(−10−106)=12+7×−10

2. Simplify -10-106 to −116.

1/2​×−116=12+7×−10

3. Move the negative sign to the left.

-116/2=12+7×−10

4. Simplify 116/2 to 58

−58=12+7×−10

5. Simplify 7×−10  to −70.

−58=12−70

6. Simplify  12-70 to −58.

−58=−58

Done by NeighborhoodDealer

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