Find the equation of the straight line passing through A(10,-2) and B(4,1)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = A(10, - 2) and (x₂, y₂ ) = B(4, 1)

m = [tex]\frac{1+2}{4-10}[/tex] = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1 )

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - [tex]\frac{1}{2}[/tex] x + 3 ← equation of line


Related Questions

Please help on this question:

Answers

Answer:

$149.88

Step-by-step explanation:

y-intercept is (0,-1) and slope is 4.​

Answers

Answer:

y=4x-1;  y-4x=-1

Step-by-step explanation:

Not too sure what this is asking but I'm assuming you mean how to write in slope-intercept form.

y=4x-1

...or in standard for

y-4x=-1

Given that 8 x − 3 y = 36 Find x when y = 3 Give your answer as an improper fraction in its simplest form.

Answers

Answer:

5.62

Step-by-step explanation:

8x-3y=36

8x-3×3=36

8x=36+9

x=5.62

Answer:

x= 45/8

Step-by-step explanation:

8x - 3y = 36

8x - 3(3) = 36

8x - 9 = 36

8x=45

x=45/8

The line with equation y = 2 x + 3 is reflected in the x -axis. Which of the following is the equation of the new line

Answers

y = 2x -3

the y-axis becomes negative since it is reflected. the x-axis remains the same since it is the beginning number

{3x -2y = -16
{x + y = -7

Answers

the answer would be -6,-1

SIMPLIFY this expression.
3x + 8y + 13x

a. 11x + 13y
b.13x + 11y
c. 24xy
d. 6x + 8y

Answers

Answer:

none of the answer above

Step-by-step explanation:

it should be

16x +8 or 8(2x+y)

group the number together according to alphabet and number

13) Roots of the equation 2x2 = 22x - 11 is:​

Answers

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

-6(1+6x)<6(1-5x)
Help me plz

Answers

If you are solving for x, you can click on the pic, but if you are not, then this answer will be useless, hope it helps, you can always give me feedback!

All of the following expressions are equal except___.
2^-3
8
1/8
2^1/2^4

Answers

Answer:

B. 8

Step-by-step explanation:

All of the other expressions equal [tex]\frac{1}{8}[/tex]. 8 is the only one that doesn't equal that fraction.

Hope it helps!

The sides of a triangle measure 2x + 5, X – 4, and
3(2x + 1). What is the perimeter of the triangle?

Answers

Answer:

9x+4

Step-by-step explanation:

perimeter= sum of all sides

perimeter= (2x+5)+ (x-4)+ 3(2x+1)

= 2x+5+x-4+ 6x+3

= 2x+x+6x+5+3-4

= 9x+8-4

=9x+4

Mikayla has $30 in a cafeteria account. She spends $3 each day for lunch. Which equation matches Mikayla's situation?
y=3x-30
y=-3x-30
y=30x-3
y=30-3x

Answers

Answer:

y=30-3x

Step-by-step explanation:

1 1/12-7/10 greater than 1/2 or less than 1/2

Answers

Answer:

Greater

Step-by-step explanation:

1 1/12 - 7/10 = 4/5

4/5 is greater than 1/2

Answer:

greater than 1/2

Step-by-step explanation:

1 1/2 - 7/10 = 8/10

8/10 = 4/5

4/5 > 1/2

A secondhand clothing store finds that 1/6 of the donations they receive are not in good enough condition to be sold. Of those items, 3/4 only require minor repairs. What part of the donations are not good enough to be sold but only required minor repairs? ​

Answers

Answer:

1/8

Step-by-step explanation:

3/4 x 1/6=1/8

GIVING BRAINLEIST!!!! Determine the area of the Parallelogram.
PIC IS BELOW!

Answers

[tex]\huge\fbox\pink{Answer}[/tex]

Formula:-

[tex]\underline{\boxed{\sf Area\:of\: parallelogram = base×height}}[/tex]

Substituting the values:-

:[tex]\implies[/tex] [tex]\sf Area = 12.5×3.7[/tex]

:[tex]\implies[/tex] [tex]\sf Area = 46.25 cm²[/tex]

A cone has a volume of 60. If the radius is 2 feet,
what is the height of the cone?
10 feet
15 feet
45 feet
90 feet

Answers

Answer:

B don't be afraid of the rounding that took place. In this case, you pick the closest answer.

Step-by-step explanation:

Givens

r = 2

V = 60

Formula

V = 1/3 pi r^2 h

Solution

60 = 1/3 * 3.14 * 2^2 * h

60 *3 /(3.14 * 4) = h

h = 14.33 feet which is B

What is 5+7X+2x-3+6?

Answers

Answer:

9x + 8 ?

Step-by-step explanation:

Answer:

8+9x or9x+8

Step-by-step explanation:

5+7x+2x-3+6

collect like terms

5-3+6+7x+2x

=8+9x

Help me plsssssss I’ve tried

Answers

D is the correct answer

hope that helps

i got d for an answer

Find the measure of each angle indicated

Answers

Answer:

50

Step-by-step explanation:

The interior angle next to 80 equals 100. all angles of a triangle should equal 180. 180-100 is 80, 80-30 is 50

hope this helps


can someone pls help

Answers

Answer:

Step-by-step explanation:

It's not that clear on my screen

this is really important please help, and please show work if you can

Answers

Answer:

C. 26°

Step-by-step explanation:

We have to subtract m∠GOH ( 24° ) from m∠FOH ( 50°)

50° - 24° = 26°

C. 26°

I need help[ lol
so like yeahhh help?

Answers

Answer:

A

Step-by-step explanation:

1 = 180 - 154

2 = 154 (the same as the opposite side)

ANOTHER 10TH GRADE QUESTION

What is the value of x in the equation?

Answers

Answer:

x = 27

Step-by-step explanation:

4x + 7 = 5(x - 4)

4x + 7 = 5x - 20

4x - 5x = -20 - 7

-x = -27

x = 27

whats the difference between slope and rate of change?

Answers

Answer:

Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line

Step-by-step explanation:

If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.

Subtract -7x^2+4x+2 from x^2-3

Answers

The answer is -6x^2 - 4x - 5
separate like terms
rewrite
-7x^2-x^2+4x+2-3
no like terms with 4x
solve
-8x^2+4x-1 is the answer

Samuel buys office supplies for his home business. The office supplies cost $175.79 before taxes. The sales tax rate is 8.25%. What is the amount of sales tax Samuel will pay?

a$8.25
b $145.03
c$14.50
d$190.29​

Answers

Answer:

It’s 14.50

Step-by-step explanation:

As the total answer with the taxes would be 190.29 so you subtract it by 175.79 to get 14.50.

Please help! I will chose Brainlist! Thank you!
A model of a building is made using a scale of 1 inch= 25 feet. What is the height of the actual building if the height of the model is 12.5 inches.

Answers

Step-by-step explanation:

12.5 ×25

312.5

plz make me brainliest

2) -8(-8x - 6) = -6x – 22

Answers

Answer:

x = -1

Step-by-step explanation:

-8(-8x - 6) = -6x - 22          {Use distributive property}

(-8) * (-8x)  - 6 *(-8) = -6x - 22    

64x +  48 = -6x -22  {Add 6x to both sides}

64x + 6x + 48 = -22         {Subtract 48 from both sides}

         70x     = -22 -48

              70x = -70            {Divide both sides by 70}

                  x = -70/70

x = -1

يملك العم احمد قطعة ارض مساحتها 120 00 00 mمربع فقام بتجزئتها كالتالي:

الجزء الاول :
[tex] \frac{2}{4} [/tex]
من المساحة اشجار مثمرة
الجزء الثاني :سدس من المساحة بقوليات
الجزء الثالث: 3على 12 من مساحة الارض للقمح
الجزء الرابع : المساحة المتبقية لانشاء حضيرة مواشي
1- عبر بكسر عن الجزء الرابع .
2-ماهو الكسر الذي يمثل الجزء الاكبر.
3-اوجد مساحة المخصصة لكل جزء بالمتر مربع

Answers

Answer:

What?? I can't help you if I can't understand it.If it was in English then I can help you if it's not in English I can't help you.I'm sorry

8, 3, 5, 5, 4, 7 Find the median, lower quartile, and upper quartile of the set of data. Use the median, lower quartile, upper quartile, lowest value, and highest value of the set to construct a box-and-whisker plot on your own sheet of paper. Use the box-and-whisker plot to find the range and the interquartile range of the set of data.

Answers

Answer:

Median: 5

Lower quartile: 4

Upper quartile: 7

Lowest value: 3

Highest value: 8

Box plot below

Step-by-step explanation:

When making a box plot, you plot the lowest value and the highest value. You make a box going from the lower quartile (in this case it's 4) to the upper quartile (7). You put a point on the median for the overall set of numbers, and you're done!

The Median is 5,The lower quartile is 4,The upper quartile is 7,The lowest value is  3,The highest value is  8.

We have given that 8, 3, 5, 5, 4, 7.

What is the median?

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

We have to make a box plot, first  plot the lowest value and the highest value. You make a box going from the lower quartile (in this case it's 4) to the upper quartile (7) and  put a point on the median for the overall set of numbers.

To learn more about the mean visit:

https://brainly.com/question/26151333

Which number is the base?

(-14)^3

Answers

Answer: -2744

Step-by-step explanation:

Try -2744? ( If i am wrong than sorry
Other Questions
Solve for X1) 8(1 + 5x) + 5 = 13 + 5x Write each equation in slope-intercept form. y-3 = 4(x + 3)y +1 = (x - 8) Solve for the indicated measure for each of the following. To find 40% of 75, Priya calculates 2575 . Complete the statement about whether her calculation gives the correct value for 40% of 75. Her calculation is , 1 of 4. Select Choice because 25 and 40% are , 2 of 4. Select Choice . b. If x represents a number, complete the statement about whether 25x always represents 40% of that number. , 3 of 4. Select Choice because 25 are 40% are 4 of 4. Select Choice . Find the slope of the line. What is the effect of the host genome when the page is lysogenic? What do Triphena and Mistress Cutler think of Lyddie when she arrives at the Tavern? What is the sum of 1/8+5/15+3/8 PLEASE HELP ASAP!!After a power failure, the temperature in a freezer increased at an average rate of 3.5 F per hour. Thetotal increase was 31.5 F. Enter and solve an equation to find the number of hours until the power wasrestored. Let x represent the number of hours it takes for the temperature to increase to 31.5 F. Help its P.E, 10 pointssss what is the area of ABC The pentagon shown has 5 equal sides. The side lengths are represented by the expression 9k+4. What is the perimeter? g(x) = -3x2 - 4x + 12, find g(-4). BRITISH IMPERIALISM IN INDIA MatchingMatch each term with its description.1. SepoyA. Service in the British government in India under the Raj2.SikhsB. Congress who fought for Indian rights and independence3.Sepoy MutinyC. Religious advocates who travel to other placesRam Mohun RoyD. Province split by the British government; sparked violence5.British East IndiaE. An Indian soldier6.RajF. Religious group, known for turbans and beards7.MissionariesG. Man often known as the "Father of Modern India"8.Indian NationalH. Company who took over and controlled India until 18589.Bengal1. Time period the British ruled India directly10.Indian CivilJ. Rebellion of sepoys in 1857 against the British Pls help Asap. Create a humorous exaggeration poem using one of the following prompts:1. It was so cold2. It rained so hard3. The snow was so deepYour exaggeration should be evident to the reader and should include six to seven sentences. Read the sentence.When the cowboys on the range heard the sound of pots and pans, they knew that the cook had begun to prepare breakfast.Which word should a writer use in the place of sound to provide the most precise meaning?1. noise2. screech3. clatter4. grumble -x + 9if x is -9 what is the answer Peers can have an influence your food choices. True or false can someone please give a good reason on how they feel about war WHAT SHOULD I DO IF THERES A PATIENTS DEAS BODY LAYING AROUNF