The x-intercept of a line is 2 and the y-intercept is 4. Explain how to use this information to write the equation of the line.

Answers

Answer 1

Answer:

y = -2x + 4

Step-by-step explanation:

The x-intercept would be the point (2,0) and the y intercept would have the point (0,4).  Once we know two points we can write the equation in the line intercept for of y = mx + b.  

We need to find the slope and the y intercept.  The slope is the steepness of the line and it is the change in y over the change in x.

The ordered pairs are written in  the form of (x, y).  From our two points, we will subtract the y's to find the top number of our fraction.

0 - 4 = -4 that is the numerator (top number) of our slope.  We do the same with the two x numbers that we have been given.

2 - 0 = 2  This is our numerator (or bottom number of our slope)

Our slope is -4 /2 to simplify, we divide the top and bottom number by 2 to get -2 / or just -2

Now that we have the slope we need to find the y-intercept.  We can use either of our original two points and our slope to determine the y-intercept.  It does not matter if you use the point (2,0) or (0,4).  I will use (2,0) and the slope of -2

y = mx + b

0 = -2(2) + b  

0 = -4 + b   add 4 to both sides of the equation

4 = b

Now that we have the slope and the y-intercept, we can write the equation

y = mx + b

y = -2x + 4


Related Questions

Use this model to calculate
3/8 times 2/6
A.16/18 B.13/24 C.6/48 D5/48

Answers

Answer:

Step-by-step explanation:

i do not see any model, but the answer is

3/8*2/6=6/48

The solution of the expression 3/8 times 2/6 is,

⇒ 6/48

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 3/8 times 2/6

Now, We can simplify as;

⇒ 3/8 times 2/6

⇒ 3/8 × 2/6

⇒ 6/48

Thus, The solution of the expression 3/8 times 2/6 is,

⇒ 6/48

Learn more about the multiplication visit:

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Can you please help me
Step-by-step explanation please

Answers

Answer:

x=9

Step-by-step explanation:

It’s a ratio.

2/6=5/(6+x)

cross-multiply

12+2x=30

2x=30-12

2x=18

x=9

Or even more simply:

2/6=3/x

2x=18

x=9

Help me out plz geometry

Answers

Answer:

45°

Step-by-step explanation:

divide 90 by 2 see there is a right angle between them

Bjorn wants to save $1,680 so that he can buy the car he wants. If Bjorn can save $15 per day, how many days will it take him to save enough money?

Answers

$1680/$15= 112 days

It will take 112 days.

6 grade math pls help and do step by step

Answers

Answer:

14

Step-by-step explanation:

13-2=11 then 11x 3 =33 then 33-25=8+=14

Answer:

Step-by-step explanation:

PEMDAS is going to be your best friend bud. It stands for Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction. This is the order you will use for all problems like this in the future. Start by solving everything inside the parenthesis.

6+3(11)-5^2=?

Now that all the parenthesis are gone we move on to exponents.

6+3(11)-(5*5)=?

6+3(11)-25=?

Now that all exponents are gone we solve for multiplication and division, whichever comes first when reading from left to right.

6+33-25=?

The final step is to add and subtract from left to right.

Hope this helps!

Please help marking brainliest if correct, serious answers only, thank you.

Answers

it’s alternate interior!!!
cuz they’re on the inside of the lines
and they’re not on the same side of the line that crosses

A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?

Answers

Answer:

$67.49 and 1/4 of a cent

Step-by-step explanation:

25% of 89.99 = 224975

89.99-22.4975=67.4925

Answer:

25%=1/4  1/4 of 90= 22.5  90-22.5=67.5

Step-by-step explanation:

round 5/8 to the nearest whole number ​

Answers

The nearest whole number would be 1, because the fraction 5/8 to a decimal is 0.625.

3(6+b)-(2b +1)
Simplify the expression

Answers

the simplified version is b+17

Step-by-step explanation:

3(6+b)-(2b+1)

=18+3b-2b+1

=18+1+3b-2b

=19+b

Divide 81/20 how to divide please give step by step explanation ​

Answers

Hi there!

[tex]81*20=4\frac{1}{20}[/tex]

Let see how much 20 goes into 80:

[tex]20,40,60,80[/tex]

That would be 4 time...

Subtract terms with terms:

[tex]81-80=1[/tex]

Remainder would be 1.

Convert term into fraction:

[tex]\frac{1}{20}[/tex]

Final Result:

[tex]4\frac{1}{20}[/tex]

7. Look at the picture.
There are designated walkways for people at this beach. Why are these walkways constructed?
A) To keep people away from the other animals that live there.
B) To beautify the beach area in order to attract more tourists.
C) To protect the people, especially children, who visit the beach.
D) To protect sand dunes from foot-traffic that contributes to erosion.

Answers

Answer:

A

Step-by-step explanation:

Walkways are constructed to keep people away from the other animals that live there. Therefore, the correct option is option A.

What is walkway?

In American English, "walkway" refers to any artificial surface or building that facilitates the use of trails. A walkway is described as "a tunnel or path for strolling along, especially. a raised hallway connecting separate sections of such a building or perhaps a wide path inside a park or garden" in the New English American Dictionary.

In New Zealand, wherein "walkways vary significantly in nature, between short urban strolls, to easy seaside areas, to demanding tramps in the high country [mountains]," the word is used to designate a footpath. Walkways are constructed to keep people away from the other animals that live there.

Therefore, the correct option is option A.

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Find the volume of the sphere below in terms of pi? Round to the nearest tenth
8 cm

Answers

Answer:

B

Step-by-step explanation:

Answer:

b) 682.7

Step-by-step explanation:

4/3 π r3

1.33 x  π x (8x8x8)

1.33 x 512 x  π

681 . 9  π cm3 (round it to nearest tenth) = 682.7

what is the range of the function f(x) = -2|x+1|? QUICK PLEASE ITS A TIMED TEST

Answers

I gochu. Alright as you can see on that graph the y’s maximum height is at 0. y is less than or equal to 0.

Linear equations -5(-5x+3)-5x+5=-50

Answers

Answer:

x=-30

Step-by-step explanation:

25x+15-5x+5=-50

20x+10=-50

20x+10-10=-50-10

2x=-60

x=60/2

x=-30

Hope it helps!

(I tired hard:))

Solve for x 4(2x+3)
I’ll mark brainlyest

Answers

Answer:

=2x5+3x4 plus brainliest please

Step-by-step explanation:

=(x4)(2x+3)

=(x4)(2x)+(x4)(3)

=2x5+3x4

Answer:

You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct

Step-by-step explanation:

4 x 2x = 8x

4 x 3 = 12

8x + 12

pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with additional costs of $0.12 per mile driven. the second plane has an initial fee of $63.96 and costs an additional $0.08 per mile driven. how many miles does pablo drive to make the miles the same?

Answers

Answer:

200 miles

Step-by-step explanation:

63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96

Answer:

your the one

Step-by-step explanation:

ajhayajsjsusudhdhdhxdhfd

A polygon is shown below.
26 cm
U
12 cm
1.
26 cm
X W
16 cm
Y
7 cm
What is the area of polygon TUVWXYZ?
O A 87 cm
O B. 120 cm
O C. 468 cm2
OD. 494 cm2

Answers

I still haven't reached that exercise, sorry

Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193

Answers

193=2y+y+7
193=3y+7
186=3y
62=y
Yolanda is 62 inches tall and Linda is 69 inches tall.

GrumpyCorp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
a) Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user"). (Hint: there should be 6 total)
b) Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
c) Use Bayes' Theorem to find the probability that a person who tests Positive actually was not a Drug User. Set up using Conditional Probability Notation and then substitute in numeric values.

Answers

Solution :

Drug : Drug user

T : Test positive

a). [tex]P(D) =0.36[/tex]

    [tex]$P\left(\frac{T}{D} \right) = 0.96$[/tex]

    [tex]$P\left(\frac{T^c}{D^c} \right) = 0.90$[/tex]

b). [tex]$P(T^c)= P\left(\frac{T^c}{D^c}\right) \times P(D^c)+ P\left(\frac{T^c}{D}\right) \times P(D)$[/tex]

               [tex]$=0.9 \times (1-0.36) + (1-0.96) \times 0.36$[/tex]

               = 0.5904

c). [tex]$P\left(\frac{D^c}{T}\right) = \frac{P\left(\frac{T}{D^c}\right). P(D^c)}{P\left(\frac{T}{D^c}\right). P(D^c) + P\left(\frac{T}{D}\right). P(D)}$[/tex]

                  [tex]$=\frac{(1-0.90) \times (1-0.36)}{(1-0.90) \times (1-0.36)+(0.96 \times 0.36)}$[/tex]

                 [tex]$=0.15625$[/tex]

Find the area of the kite.

Area=
(Simplify your answer)

Answers

I’m pretty new at this but i think you would multiply 6 by 7 to both sides and then divide by 2 and then do the same with 3 and 6 divide by two and then add them together to get 60?

Ann's grade is the average of four scores: three chapter tests and a final
that counts as two chapter tests. She scored 72, 90, and 75 on the chapter
tests. What score does she need on the final to have a grade of at least 80?

Answers

Answer:

f = 81.5

Step-by-step explanation:

hello!

to be able to find the score she needs to have a final grade of at least 80, we use the following equation:

[tex]\frac{72+90+75+2f}{5}=80[/tex]

To get rid of the denominator, we multiply both sides of the equation by 5. Once we do, 5 gets canceled and 80 * 5 = 400. Therefore:

237 + 2f = 400.

Transpose, then simplify.

2f = 400 - 237

2f = 163

Divide both sides by 2 to isolate f:

f = 81.5

please tell fast plzzzzzz​

Answers

Step-by-step explanation:

1x+4x=180(sum of supplementary angles)

5x. =180

x. =180/5

x. = 36

1) Which of the following are considered POLYNOMIALS according to the rules of polynomials? Check all that apply

Answers

Answer:

A polynomial is writen as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀

So we can only have positive integer exponents of x.

the coefficients "a" can be any real number.

Let's analyze the options:

1) Here we can see a term with "√x", remember that:

√x = (x)^(1/2)

This is not an integer exponent, then this is not a polynomial.

2) This is a polynomial.

3) Here we have the term "4/x"

This can be written as:

4/x = 4*x^(-1)

Then this is not a polynomial.

4) Here we have the term "5^x"

In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.

5) This is a polynomial.

6) Here we have the term " 2/x^2"

This can be written as:

2/x^2 = 2*x^(-2)

We have a negative exponent of x, then this is not a polynomial.


pa^2 + qb^2 + pb^2 + qa^2​

Answers

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A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?

Answers

Answer:

The answer would be 8 people attended in the second meeting.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

If it takes 30 apples to fill 2 boxes, how many apples are needed to fill 3 boxes?

Answers

Answer: 45 apples will be needed to fill 3 boxes

Step-by-step explanation: If there are an even amount of apples in each box, 15 times 2 is 30. So if there are 15 apples in each box, 15 times 3 is 45.

Answer:45 apples

Step-by-step explanation:

Since 15 apples are needed to fill 1 box, 45 apples are needed to fill 3 bboxes

HELP ......,,,,,...,,.....

Answers

Answer:

6. Not similar.

7. Not similar.

8. Not similar.

Step-by-step explanation:

6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.  

7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.

8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.

PS. It would mean the world to me if you could mark me brainliest!

Side note- I am not a professional, I just have done this a few months in the past! Best of luck!

Pattern if decreasing perfect squares 121, 100, 81, __,49, 36 What number do you need to square to find missing term?

Answers

Answer:

8

Step-by-step explanation:

121 is 11^2, 100 is 10^2, 81 is 9^2, 49 is 7^2, and 36 is 6^2. 64 is missing in the pattern, and since each number is a perfect square, the number you'd need to square is 8.

Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?

Answers

Answer: Derivative or y = mx + b

Step-by-step explanation:

Take the m value from the standard form equation:

y = mx + b

Or, the second way, is to take the derivative of the function and plug in your x value for your slope.

The derivative of a linear function is very easy to take, so it boils to preference

What is the volume of the triangular prism to the nearest whole unit.

Answers

Answer: 720ft

Step-by-step explanation:

15 x 3=45

45 x 16= 720

Hope this helps

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