Find the equation of a line that passes through the points (6,7) and (8,3).
Leave your answer in the form
y = mx + c

Answers

Answer 1

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:  m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation  y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3)  is  y=-2x+19.


Related Questions

Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.

Answers

Answer:

Not directly proportional

Oh and can you give me brainliest

Can anyone help?
The question says to expand and simplify it but i dont know how.

Answers

Answer:

3x+14

Step-by-step explanation:

remove parenthses

6x+8-3x+6

3x+14

Answer:

3x+14

Step-by-step explanation:

2(3x+4)-3(x-2)

6x+8-3x+6

3x+14

I need help :( this is like super hard I dont know what the anser is

Answers

Answer:

c

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

B. 1/4

Step-by-step explanation:

4 divided by 16 is 0.25 which is 1/4

Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.

Answers

After one year there will be $2260 and after two years there will be $2553.80

The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, the given data will be:

p = $2000

r = 13%

t = 1 year

To calculate the amount in the account at the end of 1 year.

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 2000(1 + 13/100)¹

A = 2000(1 + 0.13)¹

A = 2000(1.13)

A = $2260

To calculate the amount in the account at the end of 2 years.

A = 2000(1 + 13/100)²

A = 2000(1 + 0.13)²

A = 2000(1.13)²

A = $2553.8

Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

To learn more about Compound interest click here:

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Answer:*******************brainliest

Answers

Answer:

How is your day going lol

Step-by-step explanation:

was this supposed to be a question lol>

Divide (-3x^2 - 9x) ÷ (x + 3)
please explain/show work! <33

Answers

Step-by-step explanation:

[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]

This is the original equation so you will open the brackets.

[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]

The x will cross the division sign making it times x.

[tex]3 {x}^{2} - 9x \times x = 3[/tex]

So you will proceed to multiply the 9x by x making it;

[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]

So you will subtract 9x² from 3x² which won't be possible so it will be negative.

[tex] - 6 {x}^{2} = 3 [/tex]

Then you will square root both sides making it;

[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]

So the ² will cancel the leaving

-6x=3

-6x=1.73(Divide both sides by -6)

x=0.288

That's the final answer.

Help asap
A local hamburger shop sold a combined total of 555 hamburgers and cheeseburgers on Saturday. There were 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

Answers

Answer:

There were 250 hamburgers sold on Saturday.

Step-by-step explanation:

∵ A local hamburger shop sold a combined total of 555 hamburgers

   and cheeseburgers on Saturday

→ Assume that the shop sold x hamburgers

∵ The shop sold x hamburgers

∵ There were 55 more cheeseburgers sold than hamburgers

→ That means the number of cheeseburgers is greater than the

    number of hamburger by 55

∴ The shop sold x + 55 cheeseburgers

∵ The shop sold 555 burgers

→ Add the two types of burgers and equate the sum by 555

x + x + 55 = 555

∴ 2x + 55 = 555

→ Subtract 55 from both sides

∴ 2x + 55 - 55 = 555 - 55

∴ 2x = 500

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]

x = 250

∵ x represents the number of hamburgers

There were 250 hamburgers sold on Saturday.

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths

Answers

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

game of bingo with 33 outcomes is created to allow 6 people to win the game for every 27 people who do not win. which ratio in the form of people who win to people who do not win? (Again....Please help with this ;-; )

Answers

Answer:

Winners:Losers

2:9

Step-by-step explanation:

Winners:Losers

6:27

[÷3]

2:9

Answer:

Ratio  2:9

Step-by-step explanation:

For every 27 winner there are 6 people who win

For every 6 people who win 27 people do not win

So the ratio is 6:27  This can be simplified by dividing by 3

  Ratio 2:9

     

Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor

Answers

Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)

Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?​

Answers

Answer:

19.93

Step-by-step explanation:

If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.

If I accumulate two gallons of SHlT from an undisclosed location and I sell one gallon but in the process get two more gallons how many will I have left

Answers

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3

What is the value of c?

Answers

The answer is 71 degrees, considering that one is a right angle we know that it is 90 degrees and because all of the angles of a triangle added up is 180 we can do 180 - (90 + 42) = 48, 48 is a, then we know that angle B is on a supplementary angle with a so it would be 90 - a = b, plug it in it would be 90 - 48 = 42 then we would do the same thing to find angle c, 180 - (42 + 67) which equals 71

A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.

Answers

Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth

Answers

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

riddle
What runs around the whole yard without moving?

Answers

Answer:

a yard stick, maybe I'm right

Answer:

a fence

Step-by-step explanation:

HAHAHA LOL

HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63

Answers

Answer:

B. X = 76, y = 63, z = 104

Step-by-step explanation:

46+58+x=180

104+x=180

x=180-104

x=76

fine the exact rationalized value of sin(25π/6)

Answers

Answer: 1/2 1 over 2 if you didn’t know that’s fraction form and decimal form it’s 0.5

1. A local pizzeria sold 65 pizzas yesterday.

(step 1) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.

(Part 2) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.

Answer:

Answers

Part 1

Pizzas sold last day = 65

Increasement needed in sale = 20%

pIzzas to be sold today

= 65 + 20% of 65

= 65 + 20/100 × 65

= 65 + 1/5 × 65

= 65 + 1/1 × 13

= 65 + 13

= 78

Part 2

Pizzas sold last day = 65

Pizzas sold today = 60

60 = 65 + x% of 65

60 = 65 + x/100 × 65

60 - 65 = x/20 × 13

- 5 = x/20 × 13

-5/13 = x/20

-5/13 × 20 = x

-7.692 = x

Therefore, there was a decrease in pizza sale by 7.692%

By rounding off,

The decrease in pizza sale was by 7.700%.

= 7.7%

Which expression is a difference of cubes?

Answers

Answer:

[tex](x-y)(x^2+xy++y^2)[/tex]

Step-by-step explanation:

[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]

Answer:

It would be D

Step-by-step explanation:

Got it right on Edge 2021

There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer

Answers

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

Find the 39th term of the following sequence. 17,11, 5, -1

Answers

Answer:

-330

Step-by-step explanation:

a39= 17+ (39-1) * -6

17+ 38 = 55

55*-6 = -330

Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5

Answers

The answer is B. 320. 64 bags times 5 items in each bag.

last month kiera ran 22 more miles than bianca did if they ran a combined total of 86 miles how many miles did bianca run

Answers

Answer:

54 miles

Step-by-step explanation:

86 - 22= 64. 64÷2= 32. BIANCA RAN 32 MILES. 32 + 22= 54. kiera ran 54 miles

Bianca ran 32 miles last month while Kiera ran 54 miles (22 more) for a combined total of 86 miles.

Let x = miles Bianca ran

x + 22 = miles Kiera ran

combined total of their miles is 86 miles

x + (x + 22) = 86

solving for x

2x + 22 = 86

2x = 86 - 22

2x = 64

x = 64 / 2

x = 32

therefore, Bianca ran for 32 miles.

learn more about miles here

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At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?

Answers

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%

solve the equation
-4(x - 26) = -200

Answers

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?

Answers

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

The slope of the line that contains the point (1,9) and (4,3) would be -2.

If f(x) = 2x – 4 and g(x) = x 2 – 4x, find each value.

Answers

Answer:

Step-by-step explanation:

First, solve for each function separately:

F(5)=52+4(5)F(5)=25+20⇒F(5)=45

G(6)=2(6)+2G(6)=12+2⇒G(6)=1

Now, let's add our solutions together:

F(5)+G(6)=45+14=59

Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x

Answers

Answer:

7.99

General Formulas and Concepts:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step-by-step explanation:

Step 1: Define

x² + 3x

x = 1.7

Step 2: Solve

Substitute:                         1.7² + 3(1.7)Exponents:                        2.89 + 3(1.7)Multiply:                             2.89 + 5.1Add:                                   7.99

help plz it due today

Answers

Answer:

Point A  - 1/2 and - 1/4

Point B  - 2 1/2 and 1 1/2

Point C 1/4 and 1/2

Step-by-step explanation:

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