write this equation in slope intercept form
(4, -3) (2, -9)

Answers

Answer 1

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]

[tex]y=3x+b[/tex]

[tex]-3=3(4)+b[/tex]

[tex]-3=12+b[/tex]

[tex]-15=b[/tex]

[tex]y=3x-15[/tex]

Answer 2

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]


Related Questions

What should you do to both sides of the inequality in order to solve x + (-2) > 3?
A) Subtract 3
B) Subtract 2
C) Add 3
D) Add 2

Answers

x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

Missing Work Help!!!

I have a bunch of missing work.
What are some strategies to help stay calm and even out the work?

I would really appreciate the help :)

Answers

Answer:

Take Action: Take Time to Plan. ...

Take a Break: Get Out of the Office. ...

Take Action: Talk it Out with a Colleague. ...

Take a Break: Get a Full Night's Sleep. ...

Take Action: Work on the Weekends.

Answer:

If your due dates are at least by the end of the week, I recommend doing straight work for 30 minutes, then rewarding yourself. Repeat this for as long as you want but don't do so much that you weren't able to do anything socially for the whole day. If your due dates are already passed or if they are coming up really soon, I recommend putting on whatever music you like to listen to, but nothing to upbeat. Put on some calm music with a rain sound effects video in the background, and just keep working until you kind of dose off from reality and just get in the zone. A long answer, but it really helps.

Forgot to mention; if you ever get stressed out, either do something else to calm down, or use that stress to your advantage and do a ton of work because of it.

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.



1. How many band members are sixth graders?
band members

2. How many band members are seventh graders?
band members

3. What percentage of the band members are eighth graders?

Answers

Answer:

1=28 students 2=14students 3=40%

Step-by-step explanation:

1. 70 students = 100%

7 students = 10%

28 students = 40%

28 students are sixth graders!

2.70 students = 100%

7 students = 10%

14 students = 20%

14 students are seventh graders!

3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%

40% are eighth graders!

45. You decide to market your own custom computer software. You must invest $3,255 for
computer hardware, and spend $2.90 to buy and package each disk. If each program sells
for $13.75, write a system of equations and determine how many disks you must sell to
break even.

Answers

Your question was solved by a verified tutor on Brainly. Hope this helps!

Arman weighs 35 kg. Rosie weighs 3 times as much. How many GRAMS does Rosie weigh?

Answers

Answer: 105k

Step-by-step explanation:

1. Multiply the number by three (35kg x 3)

2. Use your answer (105kg) and convert it to grams

3. GET YOUR ANSWER = 105k Grams

4. Therefore, Rosie weighs 105k grams

Which lines of A, B, and C are perpendicular?

Answers

Answer:

a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1

Step-by-step explanation:

perpendicular slopes multiplied by each other would be -1

-1/3 * 3 for a and both other lines is -1

that means a is perpendicular to both b and c

Which equation is equivalent to
A=1/2bh?

A) H=2A/b

B) H= A/2b

C) H= A - 1/2b

D) H= 2A-b

Answers

Answer:

a

Step-by-step explanation:

Use the function below to find f(-2)
F(x)=3x

Answers

Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B

Shapes. I will give brainless answer correctly and tell me the number

Answers

Answer:

It has to be 4 parts because it will to uneven if you cut diagonally.

please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with tthis, and also if it's Substitution or linear combination.​

Answers

Answer:

  (x, y) = (6, 8) using linear combination

Step-by-step explanation:

The coefficients of the x-terms are opposites of each other (2 and -2), so the x-terms can be eliminated using a linear combination of the equations.

Adding the two equations together gives ...

  (2x -y) +(-2x +3y) = (4) +(12)

  2y = 16 . . . . . . . . simplify

  y = 8 . . . . . . . divide by 2

Substituting for y in the first equation gives ...

  2x -8 = 4

  x -4 = 2 . . . . . divide by 2

  x = 6 . . . . . . . add  4

The solution is (x, y) = (6, 8).

what is 12x⁸/3x² in simplest form, where x>0?

Answers

[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]

Answer:

[tex] {4x}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Please help me asap

tyyyyyyy :D

Answers

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

show work! my teacher told me this was wrong, what's the correct answer?​

Answers

Answer:

it is Ahmed shoevked more your calculations are wrong

pls help…………. …………………

Answers

Answer:

d

Step-by-step explanation:

smallest slope

9. Which of the following is an example of the Commutative Property of Addition? (1 point)
O 12 + 4 = 4 + 12
O 12 + (3 + 2) = (12 + 3) + 2
O 2 + 7 + 0 = 2 +7
O 17+ (-17) = 0
V
10. If p = 8, evaluate 42+p:3. (1 point)
02.
03
06
08
Finish
Cancel

Answers

Answer:

9. the first one ( 12 + 4 = 4 + 12 )

Step-by-step explanation:

the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.

The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The four options

Now,

The commutative property of addition states that changing the order of the addends does not change the sum.

This is the only option that shows the same sum with different orders of addends.

Therefore, by algebra the answer will be 12 + 4 = 4 + 12.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

There are 135 people in a sport centre.
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?

Answers

Of 103 people that are considered to use two facilities, only 14 use all three. In this case, we must make a percentage of this information.

This is roughly 14.5%, meaning there is only a 14.5% chance someone will use all three facilities if they are known to use two.

The probability that a randomly selected person uses at least two facilities is 103/135 and the probability that the selected people uses all the three facilities is 14/103.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of people using the facilities are

73 people use the gym.

73 people use the swimming pool.

67 people use the track.

36 people use the gym and the pool.

35 people use the pool and the track.

32 people use the gym and the track.

14 people use all three facilities.

The total people using two facilities is = (36+32+35 ) = 103

Total number of people is 135

The probability that a randomly selected person uses at least two facilities is 103/135.

The probability that the selected people uses all the three facilities is 14/103.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

need assistance with algebra 2

Answers

Answer:

A. Quadratic, degree 2

Step-by-step explanation:

The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.

pls help me answer this 12 to 15 questions​

Answers

Answer:

Step-by-step explanation:

See attachment

12.  -23C

13.  28.9% Loss

14.  Diagram in the attachment.  The sides can be calculated with the Pythagorean Theorem.  Side = 3.61 cm

15.  Use trig relationships.  x = 5, y = 8.66

Simplify 3x + 5y + 2x – 4y

Answers

Answer:

5x + y

Step-by-step explanation:

3x + 5y + 2x – 4y=> 5x + y

Conclusion:

Therefore:

5x + y

Hoped this helped.

[tex]GeniusUser[/tex]

The simplified form of the given expression is 7x+y.

The given expression is 3x+5y+2x-4y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Group the like terms and simplify, we get

(3x+2x)+(5y-4y)

= 7x+y

Therefore, the simplified form of the given expression is 7x+y.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ4

can someone help me answer this ​

Answers

[tex]8 = \dfrac{3+2x}{4+x}\\\\\implies 8(4+x) = \dfrac{3+2x}{4+x} \cdot (4+x)\\\\\implies 8\cdot (4+x) = 3+2x\\\\\text{Hence the answer is A.}[/tex]

Answer:

A

Step-by-step explanation:

8=3+2x/4+x

8/1= 3+2x/4+x then crisscross both sides without multiplying

8×(4+x)=3+2x

I hope it helped

What is the solution for the system of equations?
y = -x +4
y = x- 2

• (3, 1)
• (1, - 2)
• (-2, 1)
• (1, 3)

Answers

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1

Determine whether the data in the table can be modeled by a linear equation. Explain.

If possible, write a linear equation that represents y as a function of x

Answers

Answer:

yes, because they're varying in a constante rate

y = -1/2x +3.5

On 11/23/21, Genius Sports (GENI) went from $9.90 to $10.40. On the same day, Ondas Holdings (ONDS) went from $7.90 to $8.50.

How much more % gain was ONDS compared to GENI to the nearest hundredths?

Answers

Answer:

GENI increased 5.1%

ONDS increased 6%

I am guessing it would be 1% increase

PLEASE HELP IM REALLY BEHIND AND I CANT MESS THIS UP

Answers

Answer:

13, 9, 5, 1

Step-by-step explanation:

y = -2(-2) + 9

y = 4 + 9

y = 13

y = -2(0) + 9

y = 0 + 9

y = 9

y = -2(2) + 9

y = -4 + 9

y = 5

y = -2(4) + 9

y = -8 + 9

y = 1

Please help meee :( Just an answer

Answers

Answer:

p plus 6

Step-by-step explanation:

FIND THE MISSING VALUES

Answers

Answer:

i think x = 17

Step-by-step explanation:

(2x-4)+(3x+20)+(5x-6) = 180°

10x+10 = 180

10x = 180-10

10x = 170

x = 170/10

x = 17

Java 1
Question 16
Examine the following code:

int count = 0;
while ( count <= 6 )
{
System.out.print( count + " " );
count = count + 3;
}
System.out.println( );

What does this code print on the monitor?

a. 1 2 3 4 5 6
b. 0 1 2 3 4 5 6
c. 0 3 6
d. 0 1 2 3 4 5
e. 0 3

Answers

Answer:

the answer is c.036

Step-by-step explanation:

it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well

Solve for y.
y + 3 = 8y + 3
y =

Answers

[tex]y + 3 = 8y + 3[/tex]

Subtract both sides 3

[tex]y + 3 - 3 = 8y + 3 - 3[/tex]

[tex]y + 0= 8y + 0[/tex]

[tex]y = 8y[/tex]

Subtract both sides y

[tex]y - y = 8y - y[/tex]

[tex]0 = 7y[/tex]

Divide both sides by 7

[tex] \frac{0}{7} = \frac{7y}{7} \\ [/tex]

[tex]y = 0[/tex]

There you go....

Ah

Have a great day ♡

Which bottle of water costs more per ounce: a 12
ounce bottle for $1.25 or a 16 ounce bottle for
$1.50?

I really need help with this!

Answers

Answer:

the second bottle

Step-by-step explanation:

To get the amount it costs per ounce, divide the amount of money by the number of ounces.

A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.

therefore, the 16 ounce bottle is cheaper per ounce

If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits

Answers

The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.

The percentage of employee benefits to total gross pay for each worker has to be determined.

Percentage = (total job benefits / gross pay) x 100

Emily: (33,600 / 32,600) x 100 = 103.07%

Jack: (34,700 / 33,700) x 100 = 102.97%

Judy: (33,900 / 33,400) x 100 = 101.5%

Marcel: (34,000 / 32,900) x 100 = 103.43%

A similar question was answered here: https://brainly.com/question/25764815

Please find attached a complete question

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