Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2

Answers

Answer 1

Answer:

y = -x - 1

Step-by-step explanation:

soo since we already know the slope we can subsitute it to the slope form equation

y = mx + b

y = -x + b

now to find the y intercept we have to subsitute the given point

-3 = -(2) + b

-3 = -2 + b

b = -1

Answer 2

Answer:

y = -x - 1

Step-by-step explanation:

Using the process of elimination, we can immediately eliminate b) (y = 2x - 3).

Why? It has a slope of 2, and our answer wants a line with a slope of -1.

y = mx + b

m is the slopeb is the y-intercept.

To find the line that goes through (2, -3), we substitute our 3 answer choices (A, C, and D) with 2 (for x-values) and -3 (for y-values).

(2, -3)

y = -x - 1

-3 = -2 - 1

-3 = -3

This statement is true

(2, -3)

y = -x - 3

-3 = -2 - 3

-3 = -5

This statement is false

(2, -3)

y = -x + 2

-3 = -2 + 2

-3 = 0

This statement is false

Therefore, the correct answer is a) y = -x - 1

*View the graph to verity the answer*

Hope this helps!


Related Questions

Find the solution to the system of equations by using either graphing and substitution y=2x-1 and y=x+3
pls explain ur answer

Answers

Answer:

x= 4 and y=7

Step-by-step explanation:

Bellow is the graph of the two systems, you can find the coordinates (4,7) were they intersect.

Because of this the two equations are true

7= 4+3 (True)


HELP I need this done NOW
Ms. Doss is taking her class to South Padre Island and they are going to clean up a section that is 4 %
miles long. She is going to split her class into five equal groups. If each group is cleaning an equivalen
ength of beach, what length will they be cleaning?

Answers

1.25
You just divide 5/4 and it’s 1.25. Now that’s assuming you meant 4 miles I don’t know where that percent came from.

The price of a bus ticket to Saskatoon is $180. This bus has 56 seats. The bus company is considering dropping this bus fare as part of a promotion to increase the ridership on that route.

The buses has only been at half capacity lately. The companies research shows that for every 5$ decreases they will gain 2 more riders.


1. Define variable and set up an equation to represent his scenario


2. What is the maximum revenue the bus company can earn and what will be the cost of a ticket when the revenue is at a maximum

Answers

The bus tickets and price are illustrations of a quadratic function, and the maximum revenue the bus company can earn is $5107.6

The variables of the scenario

The variable representation used in this scenario are:

Let x represents the number of seatsLet y represents the total amount

The maximum revenue

The price is given as:

Price = $156

The number of seats is given as:

Seats = 56

When the bus is at half capacity, we have:

Seats = 28

As the price decreases by $5, the rider gains 2 more.

So, the revenue equation is:

y = (156 - 5x)(28 + 2x)

Expand

y = 4368 - 140x + 312x - 10x²

Differentiate

y' = 0 - 140 + 312 - 20x

Evaluate the sum

y' = 172 - 20x

Equate to 0

172 - 20x =0

Add 20x to both sides

20x = 172

Divide both sides by 20

x = 8.6

Substitute x = 8.6 in y = (156 - 5x)(28 + 2x)

y = (156 - 5 * 8.6)(28 + 2 * 8.6)

Evaluate

y = 5107.6

Hence, the maximum revenue the bus company can earn is $5107.6

#SPJ1

Read more about revenue equations at:

https://brainly.com/question/19104371

El quintuple de un número cuadrado disminuido en 9 da como resultado 36;¿cual es ese número?

Answers

Usando un sistema de ecuaciones, se encuentra que ese número es n = -3 o n = 3.

¿Qué es un sistema de ecuaciones?

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, la variable es el número n.

El quintuple de un número cuadrado disminuido en 9 da como resultado 36, o sea, la ecuación es:

5n² - 9 = 36

5n² = 45

n² = 9

n = -3 o n = 3.

Puede-se aprendes mas a cerca de sistema de ecuaciones en https://brainly.com/question/27305333

What is the value of x, in the equation below?

Answers

Answer:

16

Step-by-step explanation:

Lets first solve the right side :)

(3^5)^4 -> 3^20 = 3486784401

Now lets solve the left side :)

When we multiply the bases to exponets, we add the exponets together :)

Lets see what numbers equal 20 when added :)

4 + 4 = 8 Nope!!

4 + 5 = 9 Not at all!!

4 + 20 = 24 Too big!!

4 + 16 = 20 Perfect!!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The answer you are looking for is in D- 16

Explanation:

Included in attachment

The soccer coach bought 3 new soccer balls. The total cost of the balls was $21. 28. The coach used a $20 bill and a $10 bill to pay for the balls. Which is not a combination of coins and bills that can be used to make the change that the coach should receive?

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

A. One $5 bill, one $2 bill, one $1 bill, four dimes, two pennies

B. One $5 bill, three $1 bills, two quarters, two dimes, two pennies

C. Eight $1 bills, seven dimes, two pennies

D. Four $2 bills, a half-dollar, four nickels, two pennies

Answers

Answer:

a

Step-by-step explanation:

a is 8 .52 so its to low and the change was 8.72

What is the solution to the linear equation? 6k 10.5 = 3k 12 k = 0.5 k = 2 k = 7.3 k = 9

Answers

The solution of the linear equation is k =0.5.

What is the linear equation?

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

[tex]\rm 6k + 10.5 = 3k + 12[/tex]

The value of k is determined in the following steps given below.

[tex]\rm 6k + 10.5 = 3k + 12\\\\6k-3k=12-10.5\\\\3k = 1.5\\\\k = \dfrac{1.5}{3}\\\\k = 0.5[/tex]

Hence, the solution of the linear equation is k =0.5.

To know more about linear equations click the link given below.

https://brainly.com/question/5085290

Describe a situation that fits each equation. Describe more than one situation for each equation, if possible.
a) 4x − 1 = 19
b) 2x − 4 = 10
c) 2x + 2y = 48
d) 5x + 2y = 90. no links please!

Answers

Answer:

Step-by-step explanation:

4x − 1 = 19

solving for x, x = 5

2x − 4 = 10

x=7

2x + 2y = 48

x=24-7

y=24-x

5x + 2y = 90

x=18-2y/5

y=45-5x/2

all the situations I could find hope this helps for each equation.

what do you call boys who love algebra?

Answers

Answer:

algebros....

Step-by-step explanation:

PLEASE HELP MEEEE!!!!

What is the solution to the following equation? 6(2x – 10) + 22 = 3x + 16 (1 point) 2 3 5 6

Answers

Answer:

X=6

Step-by-step explanation:

1. 6(2x-10)+22=3x+16

2. 12x-60+22=3x+16

Is that the answer you are looking for

Write the equation of the circle below to complete the square. Also determine the area of the circle.

Answers

Answer: [tex](x-7)^2+(y+2)^2=11^2[/tex] ; [tex]A=121\pi[/tex]

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

Begin by grouping the 'x' terms and 'y' terms:

[tex](x^2-14x)+(y^2+4y-68)=0[/tex]

Complete the square for the second polynomial:

[tex](\frac{b}{2} )^2=(\frac{4}{2} )^2=4[/tex]

[tex](x^2-14x)+(y^2+4y+4-4-68)=0[/tex]

[tex](x^2-14x)+(y^2+4y+4)-4-68=0[/tex]

[tex](x^2-14x)+(y^2+4y+4)-72=0[/tex]

[tex](x^2-14x)+(y+2)^2-72=0[/tex]

Do the exact same process with the other polynomial:

[tex](x^2-14x-72)+(y+2)^2=0[/tex]

Complete the square:

[tex](\frac{14}{2} )^2=49[/tex]

[tex](x^2-14x+49-49-72)+(y+2)^2=0[/tex]

[tex](x^2-14x+49)-49-72+(y+2)^2=0[/tex]

[tex](x^2-14x+49)-121+(y+2)^2=0[/tex]

[tex](x-7)^2-121+(y+2)^2=0[/tex]

Bring the 121 to the other side to get:

[tex](x-7)^2+(y+2)^2=121[/tex]

[tex](x-7)^2+(y+2)^2=11^2[/tex]

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

[tex]A=\pi r^2=121\pi[/tex]

pls help me brainly wont show me the right results ​

Answers

Answer:

[tex]\boxed{\tt x=45^o}[/tex]

Step-by-step explanation:

The two angles together are supplementary, which means that they add up to 180°

[tex]\tt (2x+45)^o+x^o=180^o[/tex]

Now, let's solve for x:-

[tex]\tt 2x+45+x^o=180^o[/tex]

[tex]\tt 3x+45^o=180[/tex]

[tex]\tt 3x=135^o[/tex]

[tex]\tt x=45^o[/tex]

_____________________

if x=2 and y=0 what will be the value of x power y?​

Answers

Answer:

1

Step-by-step explanation:

X power y would be written as 2^0, and any number to the power of 0 is equal to 1.

1

I didn't know this was possible so I looked it up :)

Have an amazing day/afternoon/night! <3

Need help!!!!!! ASAP

Answers

Answer:

A = 0.43      B = 0.49

Step-by-step explanation:

For A: The options are between 0.40 and 0.45. A is plotted on the 3rd line from 0.40. That makes the answer 0.43.

For B: It is in the middle of 0.45 and 0.50. It is plotted on the 4th line from 0.45, which is 0.49.

A = 0.43; B = 0.49

what is the general rule of 3;0;-3​

Answers

Answer:

-3

Step-by-step explanation:

The general rule can be found by noticing patterns such as the numbers get smaller by 3 from the first term 3 towards the next 0 and towards next one -3

term 1: 3

term 2 : 3 -3 = 0

term 3 : 0 -3 = -3

The general rule of 3;0;-3​ is subtract 3

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Answer:

[tex]25\sqrt{3} \ [units^2].[/tex]

Step-by-step explanation:

1) one side of the given rectangle can be calculated as:

10*sin30°=5 [units].

2) another side of the given rectangle can be calculated as:

10*cos30°=5√3 [units].

3) finally, the area required is:

5*5√3=25√3 [units²].

Breanna and Courtney kept track of the total distance they rode their blcycles over the summer. With one week remaining in the summer, Breanna had ridden her blcycle b miles, and Courtney had ridden her bicycle c miles. During the last week of summer Breanna rode her bicycle 200 miles and Courtney rode her bicycle 500 miles. . For the entire summer, Courtney recorded 180 mlles more than Breanna recorded. Enter an equation that can be used to show that Courtney rode her bicycle 180 mlles more than Breanna rode her bicycle

Answers

The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the number of miles rode by Breanna and c represent that of Courtney.

c = b + 180

The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180

Find out more on equation at: https://brainly.com/question/2972832

PLS HELP ASAP Cassandra earns $12. 98 an hour working at Key Food. How much money will she earn this month, if she works 36. 7 hours? Round the amount of time to the nearest hundredth. ​

Answers

Answer:

476.37

Step-by-step explanation:

$12.98/hr at KF (Key Food)
$x/36.7, so look at it fractionally.
36.7x12.98
This wil be 476.366
Rounding to the nearest hundredth is 2 decimal places (tenths, hundredths).
476.366 will be 476.37

Rebecca ran a shorter distance than Stacy but a longer distance than Josie. Josie ran a longer distance than Finn. Who ran a shorter distance, Stacy or Finn?

Answers

Answer:

Rebecca did a shorter run then Stacy

Rebecca ran a longer distance than Josie

Josie ran a longer distance than Finn

Step-by-step explanation:

if Rebecca’s distance was shorter than Stacy’s and longer than Josie, then Stacy’s running distance would have to be more that Josie’s and Finn’s.

1.Stacy

2.Rebecca

3.Josie

4.Finn

Increase £200 by 12.5%

Answers

Answer:

£225

Step-by-step explanation:

12.5% × £200

>> £25

Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;

£200 + £25 = £225

Answer: £25

Step-by-step explanation: Take £200 and multiply by 12.5% and you get  £25. I hope this helped!

only one question, correct answer gets brainliest

Answers

Answer:

CA ≈ 10 cm

Step-by-step explanation:

Since we know 2 sides and 1 angle we can use the Law of Cosine to find the third side.

CA = √(AB²+CB²- 2· AB· CB· cos 50°)

CA = √(7² +13² -2·7·13· cos 50°)

CA = √(49 +169 -116.987345)

CA = √101.012655

CA = 10.0505

CA ≈ 10 cm

The location where the x- and y-axes intersect is known as the ____________.
A. coordinate plane
B. origin
C. ordered pair
D. quadrant

Answers

Answer:

B. origin

Step-by-step explanation:

It is usually right at the center of a graph, the point (0,0) It is where you start from to graph points.

the sum of two consecutive numbers in 23. what are the numbers?

Answers

Answer:

11 + 12 = 23

Step-by-step explanation:

HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.

Answers

Answer:

The slope of the line is 1

In point-slope form:

y = x + 1

Answer: 1

Step-by-step explanation: the rise is 1 and the run is also 1 so 1/1 equals 1

An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0

Answers

Answer:xponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0

Step-by-step explanation:

How many blocks having 2 m³ volume of each are there in a wall having volume 600m³​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Number of blocks having volume of 2 m³ in the wall ~

[tex]\qquad \tt \dashrightarrow \: \dfrac{600}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:300 \: \: blocks[/tex]

Step-by-step explanation:

No of blocks will a wall will have =

Volume of wall / volume of one block

putting the known values ,

No of blocks = 600m³/2m³

No. Of blocks = 300 blocks

Based on the information above ,what percent of students type less than 30 words per minute? hurry i need help

Answers

Based on the information provided in the histogram, the percent of students that type less than 30 words per minute is 30%.

What percent of students type less than 30 words per minute?

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the number of students and whose width is equal to the words per minute.

Percentage of students who type less than 30 words per minute = (number of students that type less than 30 words per minute) / total number of students) x 100

[(10 + 5) / 50] x 100 = 30%

To learn more about histograms, please check: https://brainly.com/question/14473126

1. My sister is 14 years old. My brother says that his age minus 12 is equal to my sister's age. How Old is my brother? (Please state the equation clearly)

2. Kim bought a poster that cost 8.95 and some colored pencils. The total cost was 21.35. How much did the colored pencils cost? (Please state equation clearly)

3. The Acme Car Company sold 37 vehicles in June. How many compact cars were sold in June? (State Equation Clearly)
4. Sandra wants to buy a new MP3 player that is on sale for $95. She has saved $73. How much more money does she need? (Please state Equation Clearly)

5. Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $36.55 left. How much money did he originally have?(State equation clearly)

6. Brita withdrew $225 from her bank account. After her withdrawal, there was $548 left in Brita's account. How much money did Brita have in her account before the withdrawal. (State equation clearly)


I need this by today please explain it clearly and also say the equation, Thank you (:

Answers

Answer:

1. x - 12 = 14 {brother's age minus 12 equals sister's age}

x = 26 {added 12 to each side}

Your brother is 26.

2. x+8.95=21.35  

now you must subtract 8.95 by both sides which equals x =12.4

3. 29 compact cars.

The total number of vehicle is 37. So you can just subtract 37 by 8 which gives 29.

4. x +73=95

subtract both sides by 73. which equals 22

5. $160      He originally spent $123.45 and was left with $36.55 you just add both numbers and that's what you get altogether.

6. X-225=548

Solve for x

Add 225 to both sides. So x - 753

I hope this helps! Please dont mark this wrong or delete this i worked really hard! I hope this helps tho! :)

A bag with 10 marbles has 10 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is yellow? Write your answer as a fraction in simplest form.

Answers

Answer:

the answer is 1

Step-by-step explanation:

ok

what is the opposite reciprocal of "-1/6"

Answers

Answer:

6/1

Step-by-step explanation:

The reciprocal is always the opposite. for example, the reciprocal of 9/10 is 10/9

Answer:

6 or 6/1

Step-by-step explanation:

The opposite reciprocal is when a fraction is flipped upside down (the reciprocal part) and with the signs changed (the opposite).

For -1/6

[tex]\frac{-1}{6} < ==flip\ the\ fraction\\\\\frac{6}{-1}\\\\ -6 < ==change\ the\ sign\\\\6[/tex]

Hope this helps!

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