Write the equation of the line in fully simplified slope-intercept form.

Write The Equation Of The Line In Fully Simplified Slope-intercept Form.

Answers

Answer 1

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

Step-by-step explanation:

Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]

With this value of the slope, we can write the general slope-intercept form of the equation as

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

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]

Therefore, the slope-intercept form of the equation is

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


Related Questions

What is the expression 3/8d+3/4 factored using the GCF

Answers

Answer:

[tex]\frac{3}{8}[/tex] ( d + 2)

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] d + [tex]\frac{3}{4}[/tex]

= [tex]\frac{3}{8}[/tex] d + [tex]\frac{6}{8}[/tex] ← factor out [tex]\frac{3}{8}[/tex] from each term

= [tex]\frac{3}{8}[/tex] (d + 2) ← in factored form

Will someone PLEASSSSSSEEEEEEEE help me

Answers

Answer:

C

Step-by-step explanation:

i did the math she needs to wake up at 8:00

This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Nick wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 6.5%.



Calculate the amount of sales tax Nick will pay on the purchase. Round to the nearest cent if necessary.



sales tax: $



Part B
Fill in the blank question.
How much will Nick pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.



total cost: $

Answers

Answer:

Step-by-step explanation:

A) $155.75(0.065) = 10.12375 = $10.12

B) $155.75 + $10.12 = $165.87

Find the equation of the line given the following

Answers

Answer:

1. y = -10x + 6

2. y = -x - 6

3. y = 13x + 110

4. y = -5x + 47

5. y = 7/4 x -7

Step-by-step explanation:

2. m = - 1 and Y-intercept: -20 - (- 1)(14) = -6

3. m = 13 and Y-intercept: -7 - (13)(- 9) = 110

4. (10,-3) and (7,12)

Slope = (12 - - 3)(7- 10) = 15/-3 = -5

y- intercept = 12 - (-5)(7) = 47

5. (4,0) and (0, -7)

Slope: (-7-0)/(0-4) = -7/-4 = 7/4

y-intercept: -7 - 7/4)(0) = -7

Which number(s) is/are greater than 125%?
-1.26
0.125
12/5
8/6
Pick 2

Answers

12/5 12/5. 12/5 hdhfhd y hh

What is the mean absolute deviation of 6, 8, 2, 2?

Answers

Answer:

18/4 Is it correct?

Step-by-step explanation:

4.25

Add them all up
6 + 8 + 2 + 2 = 18
Divide by how many numbers there are
18/4 = 4.5
The mean absolute deviation is 4.5

,5³-(2 la puterea 35 x 3 la puterea 36 x cinci la puterea 14)x(2 x 3 la puterea 4x 5 la puterea 19).2 la puterea 4 (d din poza)

Answers

Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)

Step-by-step explanation:

What is the main difference between multiplying decimals and whole numbers? If one factor has 2 decimal places and another factor has 1 decimal place, how many decimal places will the product of these two factors have?
the product of these two factors have?

Answers

Answer:

Both type of  numbers have a decimal point but the decimal numbers can contain digits other than 0 so you have to worry for these numbers when you're multiplying and the placement of the decimal point in the answer.A way think about it is sum the total numbers after the decimal point, this work because the numbers can be represented as fractions (explanation below) so If one factor has 2 decimal places and another factor has 1 decimal place the answer have 3 decimal places.

Step-by-step explanation:

A whole can be represented as 2.000 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.

So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.

Example:

Suppose the next two numbers 12.88 and 3.1 both have different amounts of number after the decimal point, but with the simplification we can see that the final answer contain 3 decimal places.

But, why this work? Well remember that a decimal can be represented as a fraction of this way

[tex]\frac{1288}{100} \quad \text{and} \quad \frac{31}{10}[/tex]

So if you does the product of these fractions you get the next value:

[tex]\frac{39928}{1000} = 39.928[/tex]

Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method take more time, so is more simply say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.

5) Mike and Mei each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Mike spent $70 on 5 daylilies and 5 shrubs. Mei spent $62 on 1
daylily and 5 shrubs. Find the cost of one daylily and the cost of one shrub.

Answers

1 shrub cost $12
1 daylily cost $2

1 D: $2
5 S: $60
60+2= 62

5*2=10
5*12=60
60+10=70

hope this helps :)

the mass of one sachet of coffee is 0.01 kg.
What is the equivalent mass in grams?

a.10 g
b.7 g
c.0.1 g
d.0.001 g

Answers

we know there are 1000g in 1 KILOgram, so how many grams in 0.01Kg?

[tex]\begin{array}{ccll} grams&Kgs\\ \cline{1-2} 1000&1\\ x&0.01 \end{array}\implies \cfrac{1000}{x}=\cfrac{1}{0.01}\implies (1000)(0.01)=x\implies \stackrel{g}{10}=x[/tex]

Write each number as a logarithm with base 3.


The answers has to be in this form: log .....
3

A) 0

B) -2

C) 4


Please answer. Correct answer gets BRAINLIEST ! Please don't ignore this.

Answers

log3(x)=0 so 3^0=x which is 1
log3(x)=-2 so 3^-2=x which is 1/9
log3(x)=4 so 3^4=x which is 81
This is possibly the answer

VERY EASY IF YOU TYPE RIGHT AWSNER I WILL MARK AS BRAINLISt 5th grade super easy

Answers

Answer: 2

Step-by-step explanation:

2/7 + 13/14 = 1 3/14

4/14+13/14 = 17/14

2
because it’s common sense

1
2
3
4
5
6
7
8
9
10
Which graph shows a set of ordered pairs that represent a function?
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4
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X

Answers

3rd graph, far right on top

Step-by-step explanation:

Use the vertical line test to determine (one input for x cannot have two outputs of y)

Find the slope of each line. PLS HELP TYSMMMM!

Answers

Answer:

Step-by-step explanation:

1. (-4, -2) (4, 0)

   (0 + 2)/(4 + 4)= 2/8= 1/4

2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2

3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2

4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2

Dеtеrmіnе tһе range օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе domain іѕ {-3, 9, 15}.

Answers

Answer:

{ - 5, 19, 31 }

Step-by-step explanation:

Substitute the values from the domain ( input) into f(x) to obtain range (output )

f(- 3) = 2(- 3) + 1 = - 6 + 1 = - 5

f(9) = 2(9) + 1 = 18 + 1 = 19

f(15) = 2(15) + 1 = 30 + 1 = 31

range is { - 5, 19, 31 }

P(E') = P(F) = 0.6 and P(E n F) = 0.24:
a. Write down P(E).
b. Explain how you know E and F:
i are independent
ii are not mutually exclusive
c Find P(E u F').

Answers

Answer:

(4- x)(x - 4) = 16 - x2 help me sir please

!PLEASE ANSWER ASAP! THANK YOU IN ADVANCE!

mrs. piggiewinkle knows how to use texting, instant messenger, emailing, calling, and mailing letters to communicate with her students. she must select 2 methods of communication out of the 5 to send her students an important message. in how many ways can choose the communication methods?

Answers

Answer:

Step-by-step explanation:

She must write an email to the new employees explaining how to access documents that need editing and what to do with new versions of the documents.

Answer: 20 ways

Step-by-step explanation: I believe that you would need to use permutation, so:

5P2 = 20

HELP!!!!! FAST!!!!! !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

37

Step-by-step explanation:

I don't know if this is totally correct

No. of pies donated by the cafeteria⇢9No. of pieces all the pies were cut into⇢8No. of pies that were baked in total⇢ x

ATQ,

★⤿ 8(x+9) ≥ 224

★⤿ x+9 ≥ 224/8

★⤿ x +9 ≥ 28

★⤿ x ≥ 28-9

★⤿ x ≥ 19

Hence , option A is correct ✓

-5x+35=40

what are the steps?​

Answers

Answer:

Step-by-step explanation:

-5x + 35 = 40

Subract 35 from both sides -5x + 35 - 35 = 40 - 35  = (-5x = 5)

Divide -5 from both sides -5x / -5 = 5 / -5 =

x = -1

Answer:

x= -1

Step-by-step explanation:

First subtract 35 from both sides to get -5x by itself:

-5x+35=40

-35       -35

-5x=5

Then divide by -5:

[tex]\frac{-5x}{-5}[/tex] = [tex]\frac{5}{-5}[/tex]

x=-1

Hope this helps! :)

If a university accepts 40% of those students who apply for entrance, and 75% of admitted applicants accept, what percentage of total applicants actually accepts offers of admission?​

Answers

Answer:

30%

Step-by-step explanation:

75% of 40 is 30

The percentage of total applicants that accepts offers of admission is = 30%

Calculation of percentage of total applicants

The percentage of acceptance for students that apply for entrance is = 40%

The percentage of admitted applicants that accept the offer= 75%

This means that it is only 75% of 40% of the accepted students actually accept the offer of admission.

That is, 75/100 × 40%

= 3000/100

= 30%

Therefore, the percentage of total applicants that accepts offers of admission is = 30%

Learn more about percentage here:

https://brainly.com/question/17880579

Gabby read 98 pages of a book then stopped. She later decided to continue the book and read 37 more pages every day.
Let d represent the number of days since Gabby decided to continue the book and p represent the total number of pages of the book she had read.

Answers

Answer:

number of days = 3

total number of pages=135

Step-by-step explanation:

98÷49= 2

37=1 day

total number of days=3days

Total number of pages read=135 pages

describe these sets June July january​

Answers

Answer:

Months that start with the letter "J"

Step-by-step explanation:

1/4% of what is 7? what is the answer please


Answers

Answer:

7/4

Step-by-step explanation:

Answer:

1/4% of 1 3/4 = 7 or you could say 1/4% of 1.75 = 7

A rectangular tank is 54cm long, 29cm wide and 65cm deep. ​

Answers

Answer:

so what do i do

Step-by-step explanation:????????????

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:

cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.

Solve for s to rewrite the equation for total sales.

Question 1 options:

s = c(w + rh)

s = c(w − rh)

s = w + rh/c

s = w − rh/c

Answers

The value of "s" as a function of other  variables is s =  (w - rh)/c

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:

cs + rh = w

We will make "s" the subject of the formula:

Subtract rh from both sides

cs + rh - rh = w - rh

cs = w - rh

Divide both sides by c

cs/c = (w - rh)/c

s =  (w - rh)/c

Hence the value of "s" as a function of other  variables is s =  (w - rh)/c

Learn more here: https://brainly.com/question/21406377

7 divided by 1946
i need the anwer

Answers

Answer: 278
Explanation: Just so long division

can someone please help me with this one question! ​

Answers

Answer:

RST≈TSR FOR YOU PLAESE RANK ME HELPING HAND

explain how to use a graph of the function f(x) to find f(3)

Answers

Answer:

See below

Step-by-step explanation:

What f(3) means is the value of f(x), or "y", when x=3. So, you would go 3 to the right on the x-axis, and then you would go up or down the y-axis until you touch the graph of the function. That will be where f(3) is.

Given a graph of the function f(x), find 3 on the X axis and then look directly up or down from there to find the Y coordinate of the function at that value of X.

f(3) is equal to Y at x=3.

7.
V= lwh for w
What’s the explanation

Answers

Answer:

w=[tex]\frac{V}{lh}[/tex]

Step-by-step explanation:

just divide lh from both sides



If two resistors with resistances R, and Ry are wired in parallel, then their combined resistance R is given by the complex fraction R=
R, R₂
Evaluate this formula when R1 = 70 ohms and R2 = 125 ohms.

Answers

Answer:

The equivalent resistance of two resistances connected in parallel is given by 1/R = 1/R1 + 1/R2

R = (R1*R2)/(R1 + R2)

(dR)/(dt) = ((R1*(dR2)/dt + R2*(dR1)/dt)(R1 + R2) - (R1*R2*((dR1)/dt + (dR2)/dt)))/(R1 + R2)^2

R1 is increasing at a rate of 0.3 ohms/second and R2 is increasing and finish i am busy right now am sorry to finish this question here ur formula

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