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

f(x) = x + 2
g(x) = 3x^2 - 5
Find (f•g)(x).

Answers

Step-by-step explanation:

(f o g)(x)

= f(3x² - 5)

= (3x² - 5) + 2

= 3x² - 3.

(f.g)(x) = 3x^2 - 3

f(x) = x + 2
g(x) = 3x^2 - 5

What is equation?

equation is the relationship between variable and represented as     is example of polynomial equation.

f(x) = x + 2
g(x) = 3x^2 - 5

now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3

Thus, (f.g)(x) = 3x^2 - 3

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

brittany spent 68 hours in an 8-week period doing homework. what is the rate for the number of hours to the number of weeks

A- 2 hrs /17 weeks
B- 8.5 hours
C- 17 hrs /2 weeks
D- 34 hrs / 8 weeks

Answers

Answer: C- 17 hrs /2 weeks

Step-by-step explanation:

Write the number of hours in the numerator and the number of weeks in the denominator.

68 hrs/8 weeks

Simplify by dividing 4 into both the numerator and denominator.

68/8 = 17/2

Is this answer correct yes or no?

Answers

Yes, it is correct. Your so smart  :)

I hope you have a good day, Loves •v•

Answer:

Yes, that is correct.

Can someone please help me and show all the work step by step please

Answers

Step-by-step explanation:

[tex]m\angle {ADC}=134°[/tex]

According to the diagram

[tex]\angle {ADB}+\angle{BDC}=\angle{ADC}[/tex]

[tex]\longrightarrow\sf 5x+4+7x-2=134 [/tex]

[tex]\longrightarrow\sf 12x+2=134 [/tex]

[tex]\longrightarrow\sf 12x=134-2 [/tex]

[tex]\longrightarrow\sf 12x=132 [/tex]

[tex]\longrightarrow\sf x=\dfrac {132}{12}[/tex]

[tex]\longrightarrow\sf x=6 [/tex]

[tex]m\angle{BDC}=7x-2=7×6-2 =40°[/tex]

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

Answer:

x=366 Y=330

Step-by-step explanation:

Answer:

x=366 Y=330

Step-by-step explanation:

Hope this helped have an amazing day!

What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 witha
center of dilation at the origin?
(-9. ,9
(9, -9)

Answers

Answer: -9, 9

Step-by-step explanation:

Solve these equations as a ordered pair
Y= 2x-3
Y= -x

Answers

Y=1x-3 that’s the answer

Find the sum of (8a + 2b - 4)

Answers

Answer:

There is really no answer to this because this is the furtherest you can go to simplify this expression. I can help solve it if you give me more information, or you tell me what the value of a and b is so I can solve it.

Thanks!

You can factor this, so here is it factored:
2(4a+b-2)

What is greater 80 over 100 or 8 over 10?

Answers

Answer:

they're equal

Step-by-step explanation:

Trick question. They're equal. 80/100 can be simplified to 8/10 by dividing by 10. if you type them both in a calculator, they both equal .80

To learn more, go to this website on public health C. Then answer the following question.
What are some issues that you consider to be related to public health? List them and explain your reasons.​

Answers

Answer:

Answers will vary but might address the following:

garbage disposal and recycling

sex education in schools

nutritious food supply in schools

PLEASE HELP! BRAINLIEST IF CORRECT!
Which variable is most important to the following problem?
Dorothy played the first 17 minutes of the game. Evelyn then replaced her for the rest of the half. Evelyn started the second half and was replaced by Dorothy with 21 minutes left in the game. If each half is 45 minutes long, how many minutes did Evelyn play?

A. the length of a half
B. the amount of time Evelyn played
C. the number of players on a team

Answers

The answer is A. The length of a half

Step-by-step explanation:

B she played 52 minutes long

C 11 players

A length if a half 15

Need help ASAP!!
Find the unknown side of the triangle below (round to the nearest tenth).

A.) 210.5 cm
B.) 5.4 cm
C.) 16 cm
D.) 20.5 cm

Answers

Answer:

the answer is D, 20.5cm

Step-by-step explanation:

x is hypotenuse

hypotenuse formula:

[tex]hypotenuse = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

let 15cm = a

let 14cm = b

[tex]x = \sqrt{15 {}^{2} + {14}^{2} } [/tex]

[tex]x = \sqrt{225 + 196} [/tex]

[tex]x = \sqrt{421} [/tex]

[tex]x = 20.5cm[/tex]

2x - 3y = 6
7x - 3y = -9

System of equations please solve

Answers

You multiply two by 3 because what you do to one side you do to the other and then you distribute and use the same formula for the bottom equation

ANSWER QUICK PLEASE BEING TIMED

Which of the following describes the growth rate of the exponential function in the graph below?


For each x increase of 1, the y increases by a common difference of 3.
For each x increase of 1, the y increases by a common factor of 3.
For each x increase of 1, the y increases by 4 more than the previous increase.
For each x increase of 1, the y increases by doubling and then adding 1.

Answers

Answer:

For each x increase of 1, the y increases by a common difference of 3.

Step-by-step explanation:

hope this helps ahhhhhhhhhhh

Answer:

difference

ratio

Step-by-step explanation:

Which measurement is the best estimate for the length of a clothespin?

9 cm
9 km
9 mm
9 m

Answers

in my opinion i think it’d be 9 cm

What is the correct answer? Please hurry

Answers

Answer:

2.5m

Step-by-step explanation:

5/2 = 2.5

If the circumference of a circle is 36π, what is the length of a radius of the circle?

A. 6
B. 18
C. 36
D. 72

Answers

Answer:

The answer is 6 (A)

Step-by-step explanation:

The exact answer is 5.73, but I think in the question they are rounding to the nearest whole number, so the rounded answer is 6.

My work:

C = 2πr

r = C

2π = 36

2·π = 5.72958

What percentage is 388 ??

Answers

Answer: 77.6%

Step-by-step explanation: By using the basic calculation of percentage strategy, it's 77.6%

Write the equation of a line that is perpendicular to y=-x-6 and that passes through the point (-9,-4).​

Answers

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.

Then, plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-4 = 1(-9) + b

-4 = -9 + b

5 = b

Plug in the slope and b into y = mx + b:

y = 1x + 5

y = x + 5

So, the equation of the line is y = x + 5

What percentage is 26 out of 130?

Answers

Answer:

20%

Step-by-step explanation:

26/130 = .2

decimal to percentage, times the decimal by 100

.2 x 100 = 20%

5 3/8 x 2 1/2 Sorry, I’m in a test. :’

Answers

Answer:

13 7/16

answer is a mixed number form i dont know how you wanted it .

Answer:

13 7/16 or 13.4375

Step-by-step explanation:

What is the range of the function f(x) = 1/2^x?

Answers

The range is all real numbers greater than or equal to 0.

What is the area of this figure?
EXPERTS CALLIND ALL EXPERTS!!! What is 1/4+b=3/4

Answers

Answer:

56

Step-by-step explanation:

78

The product of a number below - 7/10 is 2/10
what is the number?
-7/20
7/20
- 5/7
5/7

Answers

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

This question can be written algebraically as [tex]-\frac{7}{10} x=\frac{1}{2}[/tex]

And the image below shows step-by-step on how to solve it

Hope this helps! :)

Kevin can do 20 sit-ups in 1 minute.
How many sit-ups can he do in 12 minutes?

Answers

240 push ups
I hope that helps

If f(x) = 2x^2 +1, what is f(x) when x = 3?
O1
O7
•13
O 19

Answers

Answer:

19

Step-by-step explanation:

Plug 3 in for (x)

You'd have: 2(3)²+1

Solve. Do parentheses first so... 3²=9

You now have: 2(9)+1

Solve

18+1 = 19

BRAINLIEST TO RIGHT ANSWER! PLEASE HELP!

Answers

Answer:

y=2/3x-6

Step-by-step explanation:

Slope is 2/3

y-intercept is -6

A video game markup
Games galore super store buys the latest video game at a wholesale price of $30.00. The markup rate at games galore is 40%. you use your allowance to purchase the game at the store. How much will you pay,not including tax?
a. write an equation to find the price of the game at games galore super store. Explain your equation

Answers

Answer:Evaluate: 12y+9d if y = 5 and d = 7

Step-by-step explanation:

Evaluate: 12y+9d if y = 5 and d = 7

Answer:

espanol si amego kumasta

Step-by-step explanation:

please help 100 points

Answers

I could be wrong but if she spends $1 each day for chips. She would have 25¢ extra. And she buys 5 bags per week then she would have $1.25 per week. Add that into a graph to get a final answer.

Graph:
X| Y
1 | .25
2| .50
3| .75
4| 1.00
5| 1.25



Answer:

thx

Step-by-step explanation:

The answers at the bottom are $17.67
$12.22
$15.19
$16.19 in case you can’t see it .

Answers

9514 1404 393

Answer:

  $15.19

Step-by-step explanation:

Medicare tax is 1.45%; state tax is 1.5%. Together, these are ...

  1.45% +1.5% = 2.95%

of Wallace's salary.

That amount is ...

  0.0295 · $515 = $15.19

Answer:

$15.19

Step-by-step explanation:

just cuz

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