Write the equation of a line in Point-Slope form that has a slope of -2/3 and
passes through the point (-1,3).

Answers

Answer 1

Answer:

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Step-by-step explanation:

Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:

y - y1= m*(x-x1)

In this equation, m is the slope and (x1, y1) are the coordinates of the point.

In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and  passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:

y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))

This is:

y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)


Related Questions

IF YOU HELP ILL GIVE 100 POINTS AND BRAINLIEST! PLEASE HELP!!Which expression is equivalent to 4(23)?

4(2+13)

4(20+30)

4(2+3)

4(20+3)

Answers

Answer:

4(20+3)

Step-by-step explanation:

4(2+13) = 4(15)

4(20+30) = 4(50)

4(2+3) = 4(5)

4(20+3) = 4(23)

Therefore, 4(20+3) is the answer since it's equivalent to 4(23).

Answer:

............................................4(20+3)

Jim rides his bike 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours? 60 minutes = 1 hour

Answers

You have to convert the three hours into minutes which will be 180 minutes the multiply that by the miles (4) and then divide by the 30 minutes which will be 24

PLEASE ANSWER THIS QUESTION RIGHT PLEASE Devante Has a lunch account in the school cafeteria. His starting balance at the beginning of the month is $35.50 The first week Devante But three lunches and his account balance was$28. The second week Devante  Bought five lunches and his account balance was $15.50 in a model that relates the balance of his lunch account as a function of the number of lunches he buys what does the rate of change represent? THE ANSWER CHOICES ARE IN THE PICTURE ABOVE

Answers

Answer:

C) The amount of money in his lunch account

Step-by-step explanation:

katie collets stamp she has stamps from canada, United Staes,ands Rest of the world in a ratio of 1:1.2:1.5 she has 135 stamps from rest of the world

Answers

Answer:

90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World

Step-by-step explanation:

Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...

1.5  <=====>  135 stamps

1.2  <=====>  x  stamps (United States)

(1.2 * 135) / 1.5 = 108 stamps (United States)

1.5  <=====>  135 stamps

1  <=====>  x  stamps (Canada)

(1 * 135) / 1.5 = 90 stamps (Canada)

Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5

Brian purchases an RV for $32,000. The value of the RV is decreasing exponentially at a rate of 5% per year. Write a function that could be used to model the value of the RV where x represents the number of years since the RV was purchased . What will the RV be worth in 20 years? Please show work

Answers

Answer:

the value of the project is $16,096.88

The computation of the value of the project is shown below:

= (Expected amount generated per year × (1 - (1 ++ rate of returm)^-time period )) ÷ rate of return

= $36,950 ×  [1 - 1.1^-6] ÷ 0.1

= $16,0926.88

Hence, the value of the project is $16,096.88

We simply applied the above formula so that the correct value could come

And, the same is to be considered


Demetrius Scored 28 points in5 56 minutes duringa game of tennis. How many points did he average per minute during that
5 and 56 minutes? Type your answer as a simplified improper fraction

Answers

Answer:

420/89

Step-by-step explanation:

What we know:

Demetrius scored 28 points in 356 seconds.

To get the per second rate divide 28 by 356.

28/356 = 7/89

Here, we're looking for the per minute rate, so multiply the previous rate by 60.

(7*60)/89 = 420/89 (Since this asks for an improper fraction, I'll keep it as so.)

please help if you think you hot beautiful kind funny cool please help me please

Answers

Answer/Step-by-step explanation:

The equation of the line that passes through the two points would be correct if each point, when substituted into the equation, satisfy the equation.

This is what I mean:

Given the equation of the line, y = 2x - 5, and the two points (-2, -9) and (3, 1):

For the first point, substitute x = -2, and y = -9 into y = 2x - 5.

Thus:

-9 = 2(-2) - 5

-9 = -4 - 5

-9 = -9 (this is true). It means the line runs through the point (-2, -9)

For the second point, substitute x = 3, and y = 1 into y = 2x - 5

This:

1 = 2(3) - 5

1 = 6 - 5

1 = 1 (this is true). This also means the point, (3, 1) is also a point that the equation runs across.

please help me if you think you're kind lovely beautiful super hot please help me

Answers

Answer:

y2-y1

x2-x1

should be correct

Step-by-step explanation:

prove me wrong

multiply y by 9, then divide 10 by the result

Answers

Answer:

10/(9y)

Step-by-step explanation:

multiply y by 9: 9y

then divide 10 by the result: 10/(9y)

which graph shows a trend line that best fits the data?

Answers

Answer:

B

Step-by-step explanation:

Here is the meaning of the "Line of Best Fit" refers to a line through a scatter plot of data points that best expresses the relationship between those points. A straight line will result from a simple linear regression analysis of two or more independent variables.

Here is the rule for the "Line of Best Fit"

A line of best fit can only be drawn if there is strong positive or negative correlation. The line of best fit does not have to go through the origin. The line of best fit shows the trend, but it is only approximate and any readings taken from it will be estimations.

Answer:

B

Step-by-step explanation:

The line starts where the points starts and the line ends where the points end .

(3n-9)+(1/5n+13)=(?+1/5n)+(-9+?)=?


Can u halp :C you need to simplify answer

Answers

Answer:

[tex]3\frac{1}{5}n[/tex] + 4

Step-by-step explanation:

First Step: Write the equation

(3n - 9) + ([tex]\frac{1}{5}[/tex]n + 13) =

Second Step: Combine like terms together

(3n + [tex]\frac{1}{5}[/tex]n) + (-9 + 13)=

Third Step: Simplify

[tex]3\frac{1}{5}n[/tex] + 4

Hope this helped! <3

a+4b=-4 a+10b=-16
how to solve this problem ​

Answers

Answer:

a,b=4,-2

Step-by-step explanation:

Subtract:

a-a+4b-10b=-4-(-16)

-6b=-4+16

-6b=12

b=-2.

Plug in:

a+4(-2)=-4

a-8=-4

a=4.

Hope this helps plz hit the crown :D

Which equation is equivalent to y=2/3x-6

A.2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18

Answers

d.2x-3y=18 thankssss

help me please i really need help!

Answers

Answer:

51.3°

Step-by-step explanation:

tan y = 10/8 = 1.25

y = 51.3°

51.3 degrees your welcome

Determine any data values that are missing from the table, assuming that the data represent a linear function.
X
ly
1
2
12
16
4
a.
2
10
b.
C. 14
d. 16

Answers

Answer:

Fill in the blank with 14

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

The first step is to calculate the slope of the table

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 2}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m=4[/tex]

The equation of the table is calculated next as:

[tex]y - y_1 = m(x - x_1)[/tex]

This becomes

[tex]y - 2 = 4(x - 1)[/tex]

[tex]y - 2 = 4x - 4[/tex]

Solve for y

[tex]y = 4x - 4+2[/tex]

[tex]y = 4x -2[/tex]

To fill in the blank;

The value of x is 4

So, substitute 4 for x in [tex]y = 4x -2[/tex]

[tex]y = 4 * 4 - 2[/tex]

[tex]y = 16 - 2[/tex]

[tex]y = 14[/tex]

Pam read 126 pages of her summer reading book in 3 hours. Zac read a 180 pages of his sunday reading book in 4 hours. If they continue to read at the same speeds, will they both finish the 215 page book after 5 total hours of reading. explain

Answers

Answer:

yes they both will because in four they both read more then half the book and one more hours should let them finshed the book

Step-by-step explanation:

Answer:

Zack is able to, but Pam cannot.

Step-by-step explanation:

Number of pages Pam read in 5 hours = 5 x 42 = 210 pages

Number of pages Zack read in 5 hours = 5 x 45 = 225 pages

Zack's pages is greater than 215 while Pam isn't able to read as much.

Convert 25°C to Fahrenheit. Use the formula F = (1.8)C + 32°.
58.8°F
102.6°F
77°F
52°F

plz help

Answers

Answer:

77 F

Step-by-step explanation:

F = (1.8)*25 + 32

  = 45+32

  = 77

Hope this helps!

Answer:

77 degrees Fahrenheit

Step-by-step explanation:

plug 25 into 'C' in the formula

F = 1.8(25) + 32

1/2y=4, x-1/2y=2 the system of equations above has solution (x,y)

Answers

Answer:

(6, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

1/2y = 4

x - 1/2y = 2

Step 2: Solve for y

Define equation:                    1/2y = 4Isolate y:                                 y = 8

Step 3: Solve for x

Define equation:                    x - 1/2y = 2Substitute in y:                       x - 1/2(8) = 2Multiply:                                  x - 4 = 2Isolate x:                                 x = 6

Answer: (6,8)

Step-by-step explanation:

1/2y = 4          

x - 1/2y = 2    

First  solve for y in the first equation.

1/2y = 4      Divide both sides by 1/2

y  =  8  

NOw substitute the value of y into the second equation and solve for x.

x

x - 1/2(8) = 2

x - 4 = 2

  +4     +4

x = 6    

THis makes the solution  (6,8)

How much would you need to deposit in an account now in order to have $2000 in the account in 10 years? Assume the account earns 2% interest compounded monthly ​

Answers

Step-by-step explanation:

A(t) = amount in t years

P = Principal (original investment)

r = annual interest rate (in decimal form)

n = number of times that interest is compounded each year

A(t) = P(1 + r/n)nt

Substitute in the given values: 2000 = P(1 + 0.04/12)12(10)

2000 = P(1.490832682)

P = $1341.53

Find the simple interest.
Principal:$6000
Interest Rates: 5%
Time: 6 months

Is it $1500 or $150?

Answers

Answer:

Given,

P = ₹5,000

R = 5%

T = 6 months

= 1/2 years

S.I = P×R×T/100

= 5,000 × 5 / 2×100

= 250 / 2

= ₹125

Step-by-step explanation:

The simple interest of principal of $ 6000 at an interest rate of 5% for a period of 6 months is $ 150

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the total amount be Principal P = $ 6000

Let the interest rate be R = 5 %

Let the number of periods be T = 6 months

So , the value of T = 1/2

Now , the simple interest is given by the formula

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest = ( 6000 x 5 x ( 1 / 2 ) ) / 100

Simple Interest = ( 60 x 5 ) / 2

Simple Interest = $ 150

Therefore , the value of simple interest is $ 150

Hence , The simple interest of principal of $ 6000 at an interest rate of 5% for a period of 6 months is $ 150

To learn more about simple interest click :

https://brainly.com/question/17282817

#SPJ2

a milk truck delivers 466 dozen gallons of milk to store in 1 day.

Answers

Answer:

whats the question? I don't see one to be abel to answer you

Which statements are true about the ordered pair (10, 5) and the system of equations?
(Look at the file to answer the question)

Answers

Answers:

The first and third options should be selected.

The ordered pair (10,5) is a solution to the first equation because it makes the first equation true. The ordered pair (10,5) is not a solution to the system because it makes at least one of the equations false.

Explanation:

In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.

Let's try the first equation. Substitute 10 for x and 5 for y and solve:

[tex]2x - 5y = -5\\2(10) - 5(5) = -5\\20 - 25 = -5\\-5 = -5[/tex]

-5 does equal -5, so (10,5) is a solution to the first equation.

Next, let's test the second equation. Do the same:

[tex]x + 2y = 11\\(10) + 2 (5) = 11\\10 + 10 = 11\\20 = 11[/tex]

However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.

So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot  be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.

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Answers

Answer:

I'm I'm confused because

Step-by-step explanation:

which question are you talking about?

If the value of a in the quadratic function f(x) = ax^2+bx+c is 1/2 the function will:

Answers

lessen it data

and it will become a bigger eqaution

Answer:

open down and have a maximum

Step-by-step explanation:

I took the quiz got it right

PLEASE PLEASE I SUCK AT MATH AND ITS ALL DUE FRIDAY PLEASE 10 piont !!! Select all the correct systems of equations.
Which systems of equations have infinite solutions?
2x + 5y = 31
6x - y = 13
2x + y = 10
-6x = 3y + 7
y = 14 - 2x
6x + 3y = 42
y = 13 - 2x
4x - 3y = -19
2x + y = 14
x = 13-2y
2x + y = 17
-6x = 3y - 51
Reset
Next

Answers

Answer:

2x + y = 17

-6x = 3y - 51

Step-by-step explanation:

You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.

In the above answer, if you multiply the above by -3 you get:

-6x -3y = -51

which is of course -6x = 3y - 51

So that is an example of a pair that has infinite solutions.

To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!

When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) =-10

Answers

The first step is to solve (x plus 3) since we use the PEMDAS when solving equations. We go in order of letter. P stands for parentheses which is the first step to solve.

Enter the midpoint of the segment whose endpoints are (2,9) and (-8, 14).​

Answers

Midpoint of a line segment = (-3, 11.5)

Solve for x using the
distributive property.
4(3x - 1) = 56

Answers

Answer:

Step-by-step explanation:

12x - 4 = 56

add 4 to each side

12x = 60

divide each side by 12

x = 5

Hurricane Katrina dropped about 14 inches of rain over a 48 hour period. How much rain is this per hour?​

Answers

Answer:

Step-by-step explanation:


Why is looking at cash flow an important step in a good financial plan?

Answers

Answer:

Cash flow refers to the constant movement of money, both where and how much you're spending as well as how much you're earning in return.

Step-by-step explanation:

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