Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).

Answers

Answer 1

Step-by-step explanation:

Hey there!

The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).

Note: Use double point formula for the equation.

Now;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]

Simplify it.

[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]

[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]

[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]

[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]

Therefore, the equation is; y = 2/3x+4/3.

Hope it helps...


Related Questions

Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.

Answers

Answer:

six[6] snack packs.

Step-by-step explanation:

Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.

In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the  Greatest Common Factor.

STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.

The  factors of 18 = 1, 2, 3, 6, 9 and 18.

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18,  and 36.

STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.

For the three lists, the greatest factor common to them is 6.

Therefore, The greatest number of snack packs Jane can make is six[6] snack packs

can somebody help me pleaseee ?? it’s due soon & im stuck .

Answers

Answer:

a. lenqth=32 , width=2

b. m∠p=100  m∠Q=50  m∠R=30

c. XY=20  YZ=12

d.m∠1=90    m∠2=90

Step-by-step explanation:

a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,

1  AND  64   (this answer is suitable but it's better to choose another

one if available for more accuracy)

2  AND  32  (this is a good answer to use)

4  AND 16   (this one already used in the question)

8   AND  8   (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)

SO we will choose 2 AND 32 for the answer and we can put them in any order we want.

b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.

I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).

c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.

d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.  

Which method represents a correct way to solve the equation?

-x+(-3+x)2 = 6

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OA.

Square -3.

Square x.

Subtract -7x from both sides.

OB. Subtract 9 from both sides.

Take the square root of both sides.

Square -3.

Square x.

Combine like terms

OC. Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OD

Square the quantity (-3 + x).

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Answers

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

5. Do this without using a calculator

Calculate 39 × 63 + 39 × 37

A. 3,510. B. 3,900. C. 4,290. D. 97,812

Answers

Answer:

3900

Step-by-step explanation:

Not really sure how to explain this one.

Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?

Answers

He Gave 28 Pieces Of Candy Away
He gave away 28 candies

help awnser attach the awnser using image​

Answers

Step-by-step explanation:

Hey there!

The given points are; (-4,-1) and (4,2).

Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{2 + 1}{4 + 4} [/tex]

Simplify it.

[tex]m = \frac{3}{8} [/tex]

Therefore, the slope is 3/8.

Hope it helps...

what is an equation equivaent to x=-2

Answers

x-2=0 answer

Step-by-step explanation:

x=-2 move constant to the left by adding its opposite to both sides

x+2=2-2 the sum of two opposites equals 0

x-2=0

ANSWER X-2=0

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months

Answers

Answer:

a

   [tex]P(X <  24 )=  21.186\%  [/tex]  

b

    [tex]x =  19.78 \  months[/tex]

Step-by-step explanation:

From the question we are told that

 The mean is   [tex]\mu  =  26 \  months[/tex]

 The standard deviation is  [tex]\sigma  =  4 \  months[/tex]

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      [tex]P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )[/tex]

Generally  [tex]\frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )[/tex]

     [tex]P(X <  24 )=  P(Z <  -0.8  )[/tex]

Generally from the z-table  

       [tex]P(Z <  -0.8) =  0.21186[/tex]

So

       [tex]P(X <  24 )=  0.21186[/tex]

Converting to percentage

      [tex]P(X <  24 )=  0.21186  * 100[/tex]

=>    [tex]P(X <  24 )=  21.186\%  [/tex]  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    [tex]P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06[/tex]

=> [tex]P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06[/tex]

From the normal distribution table the z-score for  0.06 at the lower tail  is

       [tex]z = -1.555[/tex]

So

    [tex]\frac{x - 26}{4} = -1.555[/tex]

=> [tex]x =  19.78 \  months[/tex]  

Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?

Answers

Step-by-step explanation:

Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:

[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]

Por lo tanto, la primera caja contiene 56 cajas más pequeñas.

Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:

[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]

Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.

Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:

[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]

Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.

La cantidad que quede en la casilla original se expresará como

= 448- (56 + 168 + 224)

= 448-448

= 0

Por lo tanto, no quedó ninguno en la caja original.

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?

Answers

Answer:

315

Step-by-step explanation:

5 x 7 = 35

280 + 35 = 315

There sth answer

Answer:7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

hope this help btw i am 12

Step-by-step explanation:

PLEASE HELP ME OUT

John has two coupons to use at a clothing store. One is for $20 off and
the other is for 20% off. John wants to purchase a shirt with one of the
coupons and wants to pay the least amount that he can. Choose the
answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest
price

Answers

Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Step-by-step explanation:

You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.

Hope this helps!

Answer:

D.

Step-by-step explanation:

For example if a shirt was $100 dollars, 100-20 = 80 and 100 x .8 = 80

But if the shirt cost $35, 35-20 = 15 while 35 times .8 = 28

This shows that the cost of the shirt is important in discovering which coupon is better.

help me plzzzzzzzzzzz

Answers

1. √8, π, 4
2. 5, π+ 2, 17/3,
3. -2, √2 , 1.7
4. 3/2, √5, 2.5
5. √13, 3.7, π + 1
6. √5/2, π - 2, 5/4

Apologies if I got some wrong

what is the answer to 6y * 88 = 88 * 6y

Answers

Answer:

0 or No solutions

Step-by-step explanation:

hope this helps!

Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .

a) What is an expression for the area of the shed?

Answers

Answer:

w * w+2 = area of the shed

Step-by-step explanation:

Well you just do the width times the width plus two. (please Brainliest)

Given m||n, find the value of x.

Answers

Answer:

27 degrees

Step-by-step explanation:

the 27 degrees

Answer:

27°

Step-by-step explanation:

X and 27° are both alternate interior angles (on opposite sides of the transversal, between the two parallel lines), which makes them congruent! So they are both 27°.


There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47

Answers

Answer:

impossible you cant get one that is over 5 if it only goes to 5

Step-by-step explanation:

Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost

Answers

6.79+11.08+8.95=26.82

Answer:

$26.82

Step-by-step explanation:

It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.

Aanya wrote the four equations that are shown below.

A

6 x minus 8 = 4 (x minus 2) + 2 x
B

3 (x minus 1) + 2 x = 3 (x minus 1) + 2

C

7 x + 2 minus x = 6 (x + 2)
D

4 (x + 3) + x = 5 (x + 1) + 7

She examined them, without solving them, to determine which has exactly one solution. Which of Aanya’s equations has exactly one solution?
6 x minus 8 = 4 (x minus 2) + 2 x
3 (x minus 1) + 2 x = 3 (x minus 1) + 2
7 x + 2 minus x = 6 (x + 2)
4 (x + 3) + x = 5 (x + 1) + 7

Answers

Answer:      

B

Step-by-step explanation:

.' )

Answer:

The answer is B.

Step-by-step explanation:

I just took the test.

A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?​

Answers

Answer:

1 teaspoon of salt to 3 teaspoons of red pepper flake

Step-by-step explanation: 12 divided by 4

can you terminate 1/10

Answers

Answer:

Hope this helps...if it dosent, sorry

Step-by-step explanation:

Please help me i can’t get this one right. someone help me please if you know how to do this.

Answers

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

How do you write 8.43 × 10^-4 in standard form?

Answers

Answer:

0.000843

Step-by-step explanation:

simplify the expression:

8.43 × 0.0001

now simplify:

0.000843

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?

Proportional Question

Answers

Answer:

840

Step-by-step explanation:

if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840

Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1

Answers

Answer:

D

Step-by-step explanation:

y=kx+m

In this case I think the slope would be k.

k=y2+y1 / x2+x1

(4,-1) and (-1,4)

k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1

Name the subset(s) of real numbers to which the number belongs.
−1.57

A. integer only
B. rational only
C. irrational and rational
D. rational and integer

Answers

it’s b- rational (i think)

3.46x + 6.38 = -4 the answer

Answers

Answer:

x = -3

Step-by-step explanation:

start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.

   


Find the equation of the line.
Use exact numbers.
Y=?x+?

Answers

Answer:

y=.75x-2

Step-by-step explanation:

4,1

8,4

3/4 or .75x

to check answer:

(.75*8)=6

6-2

4

The equation of the line shown in the graph is y = 4x / 5 -2.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points located on the graph that lies on the line are (0, -2), and (2.5, 0)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the value in the above equation,

m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5

The equation of the line is given as

y - y₁ = m (x - x₁)

Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)

y = 4x / 5 -2

Thus, the equation of the line shown in the graph is y = 4x / 5 -2.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Look at the picture to see question plz help quickly and step by step

Answers

Answer: 16.6

Step-by-step explanation:

i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.

Answers

Answer:

Hello

Step-by-step explanation:

by what i understood the awnser should be c

What is the range of the function in this table x 1 2 3 4 Y 2 4 3 2

Answers

Answer:

(2, 4, 3)

Step-by-step explanation:

Range = Y

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