A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)

B. 3(y + 2) = x - 1

C. y - 2 = ( 1/3 x + 1)

D y + 1 = 3(x - 2)

Answers

Answer 1
A. y - 1 = 3x + 6
Add 1
y = 3x + 7

B. 3y + 6 = x - 1
Subtract 6, then divide by 3
3y = x - 7
y = 1/3x - 7/3

C. y - 2 = 1/3x + 1
Add 2
y = 1/3x + 3

D. y + 1 = 3x - 6
Subtract 1
y = 3x - 7

When put on a graph, D passes through (2, -1)

Answer is D.

Related Questions

helppppppppppppppp plzzzzzzzzzzzzzz

Answers

Answer: 15w

Step-by-step explanation:

Find the domain and range of y=-5x-1

Answers

Answer:

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Step-by-step explanation:

Finding the domain:

The domain of a function is the set of possible input values for which the function is real and defined.

Given the function

[tex]y=-5x-1[/tex]

The function has no undefined points nor domain constraints. Hence, the domain is

[tex]-\infty \:<x<\infty \:[/tex]

i.e.

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Finding the range:

The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.

The range of polynomials with odd degree is all the real numbers.

Hence, the domain is

[tex]-\infty \:<y<\infty \:[/tex]

i.e.

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Complete the proof for the following Algebraic Equation:

3x + 6 = 2(x-1)

Select the answer for x below and show the proof on your page for uploading.

O x - 4

Ox= 1

O x=8

O x--7​

Answers

x= -8

Step-by-step explanation:

3x + 6 = 2(x-1)

3x + 6 = 2x - 2

3x - 2x = -2 -6

x = -8

What words do I fill the blanks in with? Please hurry <3

Answers

Answer:

It says why you suck at cooking

Hope this helps!! :D

Question 121 pts
Daniel had $30 to spend at the fair. If the admission to the fair is $8 and the rides cost $1.25 each, what is the greatest number of rides Daniel can go on?

Answers

Answer:

 17 rides

Step-by-step explanation:

30-8=22

22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17


Find the value of x that makes A||B.

22 = 3x - 20 and 25 = x + 20
x = [?]
Enter

Answers

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[tex]angle \: 2 \: = angle \: 5[/tex]

[tex]3x - 20 = x + 20[/tex]

Add sides 20

[tex]3x - 20 + 20 = x + 20 + 20[/tex]

[tex]3x = x + 40[/tex]

Subtract sides x

[tex] - x + 3x = - x + x + 40[/tex]

[tex]2x = 40[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]

[tex]x = 20[/tex]

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help please anyone?
giving brainliestt

Answers

Answer:

School Y = 4 points

School X = 12 points

Step-by-step explanation:

school x=school y+8

school x=3 school y

x=y+8

x=3y

3y=y+8

2y=8

y=4

x=12

One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars

Answers

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39

What is the expected value of the random variable with the given probability distribution? If necessary, round your answer to the nearest hundreth.

A) 0.62
B) 1.62
C) 3.70
D) 4.33

Answers

ANSWER: D)4.33




EX: 4.33

What is the slope of y=-5+4xy=−5+4xy, equals, minus, 5, plus, 4, x?

Answers

Answer:

-5/4

Step-by-step explanation:

The slope of a line y=4x-5 is 4.

The equation of a line is y=-5+4x.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

The standard form of equation of line is y=mx+c

m is a slope of a line and c is y-intercept

Compare the equation y=4x-5 with y=mx+c, we get m=4

Therefore, the slope of a line y=4x-5 is 4.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?

Answers

Answer:

Note. There is a mismatch between the graph and the equation

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

As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s

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

If we go by the equation, then:

f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 seconds

What is the y-intercept?
4

Answers

Answer:

A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)

Step-by-step explanation:

Reggie plans to have a garden with 36 plants. He wants the ratio of tomato plants to cucumber plants to be 4:5. How many cucumber plants will be in Reggie's garden?

Answers

Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.

Answers

Answer:

4x+148

Step-by-step explanation:

Let the temperature be x and time taken by cricket to chirp be y

if when it is about 68°F, crickets chirp 124 times a minute, this means;

at x1 = 68, y1 = 124

If it is about 80°F, they chirp 172 times a minute, then;

at x2 = 80, y2 = 172

The standard form of equation in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line.

First we need to get the slope.

m = y2-y1/x2-x1

m = 172-124/80-68

m = 48/12

m =4

Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)

get the intercept c

124 = 4(68) + c

c = 272-124

c = 148

The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)

As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.

Answers

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer: 28.5 hrs x 7.75 = $220.875
This can be rounded up to $220.90

Hope this helps :)

Answer:

$220.88

Step-by-step explanation:

WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE

Answers

Answer:

2,322,775

Step-by-step explanation:

[tex] a_1=4\\\\

a_i=a_{i-1}+11\\\\

\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\

d = a_2-a_1 \\d= 15-4 \\d= 11\\\\

S_{650}=?\\\\

\implies n = 650\\\\[/tex]

By the formula of sum of an Arithmetic Sequence

[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\

S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\

S_{650}= 325 [8+649\times 11]\\\\

S_{650}= 325 [8+7,139]\\\\

S_{650}= 325\times 7,147\\\\

\huge \red {\boxed {S_{650}=2,322,775}} [/tex]

Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

We can use the markdown formula to solve this question because it is the same type of problem.

= R x P

1. = 500 x 0.04

= 20

2. 500 - 20

= 480

I'd like to imform you about responsible internet usage. Social sites like this shouldn't be used for asking people to be their girlfriend. They should especialy not be used for inappropriate reasons either. I've seen very offensive pictures on this website. Thank you for listening! Have a great day!

Key: R = Percentage Rate P = Original Price

In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.

Answers

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°

Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?

Answers

Answer:

Step-by-step explanation:

7

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.

Answers

9514 1404 393

Answer:

  Each strawberry contains 4 calories

Step-by-step explanation:

The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.

Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

  Each strawberry contains 4 calories

Answer:

its 4 calories, A

Step-by-step explanation:

i just got it right on edge

1/4(z 3z) 7=−z 1 please help with this ive been stuck

Answers

Answer:

z=0

Step-by-step explanation:

if the equation was 1/4(3z)7=-1z

compare linear and nonlinear functions

Answers

Answer:
linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.

I hope this helped :)

a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal​

Answers

Answer:

Step-by-step explanation:

Given

A metal block has a mass = 60kg

volume = 0.5 meter cube

Solution

Density=masala volume

Density=60/0.5

Density of the metal=120kg/m^3

7. In order to join a dance team, the team requires a one-time $30 startup fee to cover uniforms as well as a monthly fee of $4. What is the slope of this scenario?

Answers

Answer: the slope is 34

Step-by-step explanation:

(sinA + cosA)/ (secA + cosecA) = sinA* cosA​

Answers

Answer:

Proof below

Step-by-step explanation:

Trigonometric Identities

We'll prove that:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]

Recall:

[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]

[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]

Applying those definitions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]

Adding the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]

Dividing the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]

Simplifying:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]

Hence proved

Solve the proportion below. X/12=12/72

Answers

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

iven: PA = PC and BA = BC. Use the diagram to find the length described.

Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?

pabc

AC is
cm in length.

Answers

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[tex]BA = BC = 12[/tex]

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[tex]AC = BA + BC[/tex]

[tex]AC = 12 + 12[/tex]

[tex]AC = 24[/tex]

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Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units

Answers

C) reflection over the x-axis

How do you write 66% as a decimal?​

Answers

Answer:

0.66

Hope this helps!

Answer:

0.66

Step-by-step explanation:

Move the decimal twice to the left whenever you try to convert a percent to a decimal

Other Questions
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