Write an equation for the line in standard form

Write An Equation For The Line In Standard Form

Answers

Answer 1

Answer:

The equation of the line in standard form is y = -1/2·x - 3

Step-by-step explanation:

From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;

(-4, -1), (-2, -2), and (2, -4)

The slope, m, of the graph is given as follow;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, by substituting the values of the coordinates for two known points, we have;

[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]

The slope of the graph, m = -1/2

The equation of the graph on point and slope form is given as follows;

y - (-4) = -1/2(x - 2)

y = -x/2 + 1 - 4 = -x/2 - 3

The equation of the line in standard form, y = m·x + c  is y = -1/2·x - 3.


Related Questions

3/5 pint of juice is poured equally into 6 glasses. How much juice is in each glass? Answer in a complete sentence.

Answers

Answer:

3/30

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

you divide by 3/5 by 6

Help plz ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

Answer:-2

Step-by-step explanation:

Please PLEASE HELPPP!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.

Please help please please ASAP

Answers

Answer:

choose the first one.

0.87

Answer:

Use your calculator

Step-by-step explanation:

Press the cos button COS(  - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer:

[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]

4x-5y+32=0 is the right answer.

Isabel ran for president of the chess club, and she received 12 votes. There were 15 members in the club. What percentage of the club members voted for Isabel?

Answers

Answer:

80%

explanation:

just looked up "what percentage is 12 out of 15 and it gave me an answer"

just do this for all ur other questions like this

What is the simplified form of
of (-7xº+5x²-x+6)-(-8x2 + x +3)?
ОА.
-x + 4x2 - x+3
OBX + 4x² - x+3
ocx - 4x² – 2-3
D. -15x + 6x? - X+9
Please I need help immediately

Answers

Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.

Answer:

[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)[/tex]

solving the expression

[tex]=-7x^0+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]

apply the rule: [tex]a^0=1,\:a\ne \:0[/tex]

[tex]=-7+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]

[tex]=-7+5x^2-x+6+8x^2-x-3[/tex]

simplify

[tex]=13x^2-2x-4[/tex]

Therefore, the simplified form is:

[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]

Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.

The difference of two numbers is 18. Their sum is 66. What are the numbers? List the numbers from least to greatest.

Answers


attack_panic
·
5y
Another solution is to solve one equation for one variable, and plug that into the other equation.

x + y = 66
x = 66 - y

(66 - y) - y = 18
66 - 2y = 18
-2y = 18 - 66
-2y = -42
-2y/-2 = -42/-2
y = 24

Now that you have y, plug that into the first equation and solve for x.

x + 24 = 66
x = 66 - 24
x = 42

Then plug your two answers into both original equations to verify.

x + y = 66
42 + 24 = 66
66 = 66 check

x - y = 18
42 - 24 = 18
18 = 18 check

CAN SOMEONE HELP ME ??? This is areas and volumes of similar solids!!!!!! It’s urgent!!

Answers

Answer:

Step-by-step explanation:

let x be the unknown volume

5/7=50/x

x=70

Answer:

137.2 m³

Step-by-step explanation:

Given the ratio of sides a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 5 : 7 , then

ratio of volumes = 5³ : 7³ = 125 : 343

let x be the volume of the larger prism then by proportion

[tex]\frac{50}{125}[/tex] = [tex]\frac{x}{343}[/tex] ( cross- multiply )

125x = 17150 ( divide both sides by 125 )

x = 137.2

That is volume of larger prism is 137.2 m³

Solve for x. I need help :,) thank you if you help!

Answers

Answer: if its a multiple of a 345 triangle then its congruent x is 36 if othersides ate multiples of 20 ie

Sides are

60 80 100 is a 345 right triangle

Step-by-step explanation:

please help!
what is 2/7 x 1/3

Answers

Answer:2/21

Step-by-step explanation:

2 x 1      2

——-   =. -

7 x 3.    21

The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

1/6

Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.

Please help please please ASAP please please

Answers

Step-by-step explanation:

ac is the answer

.............

The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after

Answers

Answer: 0.09 mg

Step-by-step explanation:

To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.

= 5e⁻⁰°⁴ˣ¹⁰

= 5e⁻⁴

= 0.09157819444

= 0.09 mg

Evaluate (5 + 2) to the power of 2 - 40 + 3 =

Answers

Answer:

12

Step-by-step explanation:

(5+2)^2 - 40 + 3

= 7^2 - 40 + 3

= 49 - 40 + 3

= 49 - 40

= 9+3

= 12

What number is missing from the table of equivalent ratios?

A. 2
B. 5
C. 7
D. 13

Answers

almost positive its 5!! after each is divided by 2, the og number is in the y column and the divided by 2 number is in the x column!

Answer:

Step-by-step explanation:

The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5

2x-8y=16 solve for x

Answers

Answer:

x=8+4y

Step-by-step explanation:

Add 8y to both sides:

2x=16+8y

Divide both sides by 2:

x=8+4y

can someone help simplify the following expression. 7t -3t + 4
A 4t + 4
B 7t - 1
D 10t + 4
C10 + 4

Answers

The answer is b I did this before

Which expression is equivalent to 5/6c + 76c, if c+ 0?

Answers

Answer:

0

Step-by-step explanation:

If c=0

that expression also equals 0

What is the value of X?

Answers

X would = 1/3 if this isn’t right tell me

The answer is x = 11/36

lt is 100% right

i need help on this question

Answers

Answer:

5

Step-by-step explanation:

9+6=15

15/3=5

Step-by-step explanation:

[tex] \frac{a + b}{c} = \frac{9 + 6}{3} = \frac{15}{3} = 5 \: ans[/tex]

Draw an ordered stem and leaf diagram to show this information.
245, 250, 251, 253, 258, 264, 267, 269, 273, 276
Key:
2415 means

Answers

Answer:

24|5

25|0;1;3;8

26|4;7;9

27|3;6

Step-by-step explanation:

key in the bottom right:

24|5means 245

The area of Tyrone's square bedroom is 144 square feet. He wants to paint the walls of his room. How much paint would he need to paint all four sides?

I'll give brainliest ​

Answers

Answer:

Each side is 12 feet.

A stack of books is 5 feet 5 inches high. How high is it in inches?

Answers

Well first, you have to know that there are 12 inches in a foot so, that's 12 / 3 = 4, so that means that for every foot, there are 4 books. The books are 5 feet tall so 4 x 5 = 20. Your answer is: 20 books are in a stack.

Answer:

Step-by-step explanation: I would do 5x12 because there are 12 inches in one foot so 5x12 is 60 so there is 60 inches

C=S + 16
The variable s represents the number of additional sticks of butter Max buys, and the variable
c represents the total number of cakes he can bake. How many additional sticks of butter
does Max need in order to bake a total of 17 cakes?

Answers

I’m pretty sure it’s 1 you would do 17=s+16 and you would get 1.

What is the area, in square feet, of the trapezoid below?

Answers

Answer:

68.75

Step-by-step explanation:

Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.  

13.6 + 5.9= 19.5

19.5 + 8 = 27.5

27.5 x 5 = 137.5

137.5 x 1/2 = 68.75

Teresa is going with her family to watch

professional barrel racers. Her family

buys 6 tickets. They have a coupon for

$1.50 off each ticket. They pay $52.50

altogether for their tickets. Write an

equation that you could use to represent

the situation. What is the price of a ticket

before using the coupon?

Answers

Answer:

6 * (x - 1.50) = 52.50 ; 10.25

Step-by-step explanation:

Given that :

Number of tickets purchased = 6

Coupon off per ticket = 1.50

Total Amount paid for tickets = $52.50

Let x = initial price of ticket :

Number of tickets purchased * (Initial ticket price - coupon) = total amount paid

6 * (x - 1.50) = 52.50

6x - 9 = 52.50

6x = 52.50 + 9

6x = 61.50

x = 61.50 / 6

x = 10.25

Hence, initial price of ticket = $10.25

Identify the like terms.
7 + 4p - 5 + p + 2y

A: 4p, -5, 2y
B: 4p, p, 2y
C: 7, 5 AND 4p, p
D: 7, -5 AND 4p, p

Answers

Answer:

D:7, -5 AND 4p,p

Step-by-step explanation:

B/c like terms are terms with the same variable and exponent.

If it's helpful ❤❤

THANK YOU.

Anyone know the answer ?

Answers

Answer:

74 is the answer

Step-by-step explanation:

64+42=106

180-106=74

hope this helped!

Answer: 74°

42+64=106

180-106=74

I hope this helps :

2. Lorena is trying to choose between two different savings accounts at H-Town Bank. She will deposit $3,500 dollars and will leave the money in the account for 12 years. There will be no additional money deposited or withdrawn from the account.​

Answers

Answer:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Choice 1 = X = Final Amount after 12 years = $5600

Choice 2 = Y = Final Amount after 12 years = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

Step-by-step explanation:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Initial Deposit Amount = $3500

Time period = 12 years

Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.

X = simple interest of 5% over the initial amount for 12 years.

Y = Compound interest 5% over the initial amount for 12 years.

Solution:

Let's calculate the profit for choice 1 = X

Simple interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P (1 + rt)

where, A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

Plug in the values to get the total amount.

A = 3500(1+0.05x12)

A = $5600 = final amount Lorena will get after 12 years.

Let's calculate the profit for choice 2 = Y

Compound interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]

where,

A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

n = number of times interest rate is applied or compounded. = 12

Plug in the values to get the total amount.

A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]

A = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

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