Which is the equation of the line that passes through the point (-4,3) and (2,6)

Answers

Answer 1

Answer:

[tex]\displaystyle y = \frac{1}{2}x + 5[/tex]

Step-by-step explanation:

Equation of a Line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

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

We'll use the points (-4,3) and (2,6), thus:

[tex]\displaystyle m=\frac{6-3}{2+4}=\frac{3}{6}=\frac{1}{2}[/tex]

Now we use the point-slope form using the point (2,6):

[tex]\displaystyle y - 6 = \frac{1}{2}( x - 2 )[/tex]

Operating:

[tex]\displaystyle y - 6 = \frac{1}{2}x - 1[/tex]

[tex]\displaystyle y = \frac{1}{2}x - 1 + 6[/tex]

[tex]\boxed{\displaystyle y = \frac{1}{2}x + 5}[/tex]


Related Questions

Martha is looking into investing a portion of her recent bonus into the stock market. While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices.
Eye Remember Enterprises:
Standard deviation of stock prices
= $1.25 = $1.25
The Azure Travel Company:
Standard deviation of stock prices
= $9.73 = $9.73
Based on the data and assuming these trends continue, which company would give Martha a stable long-term investment?
A. The Azure Travel Company; the larger standard deviation indicates that The Azure Travel Company has less variability in its closing prices than Eye Remember Enterprises.
B. Eye Remember Enterprises; the smaller standard deviation indicates that Eye Remember Enterprises has less variability in its closing prices than The Azure Travel Company.
C. Eye Remember Enterprises; the smaller standard deviation indicates that Eye Remember Enterprises has a greater mean closing price than The Azure Travel Company.
D. The Azure Travel Company; the larger standard deviation indicates that The Azure Travel Company has a greater mean closing price than Eye Remember Enterprises.

Answers

Answer:

Based on the data and assuming these trends continue, the company that would give Martha a stable long-term investment is:

B. Eye Remember Enterprises; the smaller standard deviation indicates that Eye Remember Enterprises has less variability in its closing prices than The Azure Travel Company.

Step-by-step explanation:

The result shows that the greater the standard deviation of the stock price of the Azure Travel Company than that of Eye Remember Enterprises, the greater the variance between each stock's price and their mean closing prices.  This implies a larger price range in the stock of the Azure Travel Company than it is the case with the Eye Remember Enterprises.  It is noteworthy that a volatile stock has a high standard deviation, while the standard deviation of a stable blue chip stock is usually rather low.

Help me please! I don’t understand! I’ll give you brainly!

Answers

Answer:

trinomial , degree 5

Step-by-step explanation:

9y^5 + y - 3y^3

Writing the polynomial in standard form (from biggest power to smallest)

9y^5  - 3y^3+ y

This has 3 terms so it is a trinomial

The highest power is 5 so it has degree 5

can someone help me with this problem
(7v+9)–(4v+9)

Answers

Answer: 3v

Step-by-step explanation:

1 Imagine you throw three hoops over these cones
Add together the number of each
cone you get a hoop on.
You have three throws a turn.
What different totals can you
make on each turn?
30
90
40​

Answers

Answer:

10 different total we can make.

Step-by-step explanation:

Consider the provided information.

It is given that we have three hoops and three cones of numbers 30, 40 and 90.

We are assuming that if we throw a hoop, it always falls on a cone.

Then the different totals are shown below:

If all three hoops fall on the same cone.

1) 30+30+30=90

2) 40+40+40=120

3) 90+90+90=270

If two out of three hoops fall on the same cone.

4) 30+40+40=110

5) 30+90+90=210

6) 40+30+30=100

7) 40+90+90=220

8) 90+30+30=150

9) 90+40+40=170

If all the hoops fall on the different cone.

10) 30+40+90=160

Hence, 10 different total we can make.

The purple shape is a dilation of the black shape. What is the scale factor of the dilation

Answers

Answer:

Scale factor = 1/2

Explanation:

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio

Answer:Scale factor = 1/2

The purple shape is a dilation of the black shape.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Now findd the scale factor.

If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio like so: Scale Factor = purple/black

Scale factor = 10/20 = 1/2

Let’s start! Can you solve this equation 4x4

Answers

Answer:

4x4 is 16

Step-by-step explanation:

mmmm lemme guess.. is it 736??:o

Select the expression that is equivalent to
—2 (5 + 7g)
-2 – 14g
-10 – 149
79 - 10
-10 + 7g

Answers

Answer:

-10 - 14g

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Step-by-step explanation:

Step 1: Define

-2(5 + 7g)

Step 2: Expand

Distribute -2:                        -2(5) + -2(7g)Multiply:                                -10 - 14g

I need the simplified expression for this please ​

Answers

Step-by-step explanation:

2/3x-8/3

hope it helps

2x/3-8/3

If you have any questions just ask

I need help plz help

Answers

The answer would be the first one- tossing an even number is more likely than tossing an odd one

The function L 200P+3 models the total number of lives L a player is given in a video game after scoring p points. The video game just
gave Linda a fifth life. Which equation could be used to find the total number of points Linda scored in order to earn her fifth life? (1 point)

Answers

Answer:

P = 200L - 600

Step-by-step explanation:

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0.0)
(4.3)

Answers

The answer is Y=3/4x

3x-4=23 solve the equation

Answers

Answer:

9

Step-by-step explanation:

first add 4

3x=27

divide 3

x=9

Answer:

= 9

Step-by-step explanation:

3 − 4 = 2 3

Add 4 to both sides of the equation:

3 − 4 + 4 = 2 3 + 4

Simplify:

3=27

Divide both sides of the equation by the same term:

3/3=27/3

Cancel terms that are in both the numerator and denominator:

=27/3

Divide the numbers:

x=9

Done!

write each ratio in simplest form
12
_

16
12 divide 16

Answers

Answer:

Step-by-step explanation:

divide each number by 4

12/16

12/4 = 3

16/4 = 4

3/4

hope this helps <3

ill give the crown things plzz helpppp
Alison has 63 books on her bookshelf. If she plans on donating ⅓ of her books, how many will Alison have left on her bookshelf?

Answers

Answer:

42

Step-by-step explanation:

1st step: 63 divided by 3= 21

2nd step: 63- 21= 42

A lemonade seller calculates that it costs $ to produce glass of lemonade and $ to produce glass of lemonade. Assume the relationship between the cost and the number of glass of lemonade produced is linear. What is the most reasonable estimate for producing glass of lemonade

Answers

Question:

A lemonade seller calculates that it costs $50 to produce 52 glass of lemonade and $110 to produce 127 glass of lemonade. Assume the relationship between the cost and the number of glass of lemonade produced is linear. What is the most reasonable estimate for producing 193 glass of lemonade?

Answer:

[tex](a).\ y = 0.8x + 8.4[/tex]

[tex](b).\ Estimate = \$163[/tex]

Step-by-step explanation:

Represent number of lemonade with x and the cost with y.

So:

[tex](x_1,y_1) = (52,50)[/tex]

[tex](x_2,y_2) = (127,110)[/tex]

Solving (a): The linear relationship between them.

First, calculate slope (m)

m = ∆y ÷ ∆x

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

[tex]m = \frac{110 - 50}{127 - 52}[/tex]

[tex]m = \frac{60}{75}[/tex]

[tex]m = 0.8[/tex]

The equation is then calculated as:

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

This gives:

[tex]y - 50 = 0.8(x - 52)[/tex]

[tex]y - 50 = 0.8x - 41.6[/tex]

Make y the subject

[tex]y = 0.8x - 41.6 + 50[/tex]

[tex]y = 0.8x + 8.4[/tex]

Solving (b): Estimate of 193 lemonade

In (a), we have:

[tex]y = 0.8x + 8.4[/tex]

Substitute 193 for x

[tex]y = 0.8 * 193 + 8.4[/tex]

[tex]y = 154.4 + 8.4[/tex]

[tex]y = 162.8[/tex]

[tex]Estimate = \$163[/tex]

What is 20 multiplied by 13/17

Answers

Answer:

[tex]15 \frac{5}{17}[/tex]

or

[tex]\frac{260}{17}[/tex]

Answer:

[tex]15\frac{5}{17}[/tex] or [tex]\frac{260}{17}[/tex]

Step-by-step explanation:

[tex]\frac{20}{1} times \frac{13}{17} = \frac{260}{17} = 15\frac{5}{17}[/tex]

Hello please help me solve this :) will give braisnlt xo

Answers

1.immigrants
2.native born
3.citizen
4.quotas
5.census
6.naturalization

Answer:

1) immigrant

2) citizen

3) native born-citizen

4) quotas

5) census

6) birth rate

Step-by-step explanation:

..

What is the value of 2.7 x 4.1?

Answers

Answer:

11.07

Step-by-step explanation:

2.7

x4.1

=11.07

Answer:

11.07

Step-by-step explanation:

Harris runs 12 miles in 2 hours at a steady pace. At this same pace, how far can he run in 45 minutes?

Answers

2 miles in 45 minutes

Answer:

4,5 miles

Step-by-step explanation:

60*2=120

120/12=10

1 mile every 10 minutes

45/10=4,5

3.1.PS-14
Question Help
Error Analysis A contractor purchases 5 dozen pairs of padded work gloves for $69.60. He
incorrectly calculates the unit price as $13.92 per pair for the expense report What is the correct unit
price? What is the error?
The correct unit price is $ per pair

Answers

Answer:

The correct unit price is $1.16 per pair.

The contractor calculated the unit price in terms of per dozen.

Step-by-step explanation:

Given that:

Cost of 5 dozen pairs = $69.60

Unit price per dozen = [tex]\frac{69.60}{5} =\$13.92[/tex]

Unit price means the price of one pair of padded work gloves, so we will convert dozens into unit.

1 dozen = 12 pairs

5 dozen = 60 pairs

Unit price = [tex]\frac{69.60}{60}[/tex]

Unit price = $1.16 per pair

Hence,

The correct unit price is $1.16 per pair.

The contractor calculated the unit price in terms of per dozen.

The coordinates of the vertices of △XYZ are X(−5, 5), Y(−3, −2), and Z(4, 0). The slope of XZ is __, the slope of YZ is __, and the slope of XY is __. △XYZ __ a right triangle because ____________.

-7/2 -5/9 -2/7 2/7 9/5 is is not no two of these slopes have a product of -1 two of these problems have a product of -1

Answers

Answer:

Slope of XZ = -5/9

Slope of YZ  = 2/7

Slope of XY  = -7/2

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

For XZ

X(−5, 5), and Z(4, 0)

Slope of XZ = 0-5/4-(-5)

Slope of XZ = -5/4+5

Slope of XZ = -5/9

For YZ

Y(−3, −2), and Z(4, 0).

Slope of YZ = 0-(-2)/4-(-3)

Slope of YZ = 2/4+3

Slope of YZ  = 2/7

For XY

X(−5, 5), Y(−3, −2)

Slope of XY = -2-5/-3-(-5)

Slope of XY = -7/-3+5

Slope of XY = -7/2

For two lines to be perpendicular, the product of their slope must be -1

Taking the product of XY and YZ

mXY * mYZ = -7/2 * 2/7

mXY * mYZ  = -1

since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle

Compote table please help me please?

Answers

2
5
8
9
10
that what I got

Find the value for x and y for the triangle. Show work.

Answers

Answer:x= 8/√3, y= 16/ √3

Step-by-step explanation:

See the picture below

Make the following statement an equations (3,-3) m=3

Answers

Answer:

We conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

[tex]y=3x-12[/tex]

The graph of the line is also attached.

Step-by-step explanation:

Given

The point (3,-3)The slope m = 3

Using the point-slope form of the line equation

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

where

m is the slope of the line (x₁, y₁) is the point

substituting the values m = 3 and the point (x₁, y₁) = (3,-3)

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

[tex]y-\left(-3\right)=3\left(x-3\right)[/tex]

Apply rule: -(-a) = a

[tex]y+3=3\left(x-3\right)[/tex]

subtract 3 from both sides

[tex]y+3-3=3\left(x-3\right)-3[/tex]

simplify

[tex]y=3x-12[/tex]

Therefore, we conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:

[tex]y=3x-12[/tex]

The graph of the line is also attached.

oscar scored a 45/50 on his most recent test what percent of the problems did oscar get correct?​

Answers

Answer:

Hi

The answer is 90%

Step-by-step explanation:

45/50 x 100=90

Percent of problems scored by Oscar is [tex]\boldsymbol{ 90\%}[/tex]

Define percentage.

A percentage is a figure or ratio that is stated as a percentage of one hundred. The percent symbol, "[tex]\boldsymbol{\%}[/tex] ," is frequently then used represent it.

Score of Oscar in a test [tex]=\frac{45}{50}[/tex]

Therefore,

Percent of problems scored by Oscar [tex]=\boldsymbol{\frac{45}{50}\times 100 }[/tex]

                                                             [tex]=\boldsymbol{ 90\%}[/tex]

Find out more information about percentage here:

https://brainly.com/question/13450942?referrer=searchResults

Help please! This is due in 3 minutes!

Answers

It’s 26. Hope that helped.

Answer:

b. x=26

Step-by-step explanation:

x+3x-14+90=180(Being angles of a triangle)

4x+76=180

4x=180-76

x=104/4

Therefore ,x=26

-. How many tenths are in the following number: 926.45908**

Answers

Answer:

9264.5908

Step-by-step explanation:

move the decimal

Answer:

How many tenths are in the following number: 926.45908**. 1. See answer. Add answer+5 pts. Log in to add comment. sandovalkenny0209 i

Step-by-step explanation:

What is the solution for the equation? a+8/3 = 2/3
1. a= -10/3
2. a= -2
3. a=2
4. a=10/3​

Answers

Answer:

The answer is 2)a=−2

What is the rate of change for the linear relationship modeled in the table? (4 points)

x y

-1 10

1 9

3 8

5 7

negative one over two
0
one over two
2

Answers

Answer:

-1/2

Step-by-step explanation:

In a linear relationship, the rate of change of one variable with respect to the other is constant. When we talk about change, we're looking for a difference of values.

If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the rate of change is the number we get by dividing one of these by the other.

The rate of change we're used to seeing, sometimes called the slope, is Δy/Δx. So, using the values we've already found:

[tex]\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2[/tex]

Answer:1/2

Step-by-step explanation:

Because the other guy said so and they seem smart so...yeah I would pick that one.

12. Simplify:
5x + 3y - 2y + 3xy + 5xy - 10x

Answers

Hey there!

[tex]\textsf{5x + 3y - 2y + 3xy + 5xy - 10x}[/tex]

[tex]\textsf{Combine like terms}[/tex]

[tex]\textsf{(5x - 10x) + (3y - 2y) + (3xy + 5xy)}\\\mathsf{5x - 10x = -5x}\\\mathsf{3y - 2y = 1y}\\\mathsf{3xy + 5xy= 8xy}\\\boxed{\boxed{\mathsf{Answer: \bf{8xy-5x+y}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

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