Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -2, through (-4,6)

Answers

Answer 1

Answer:

y= -2x -2

Step-by-step explanation:

slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

Given that the slope is -2, m= -2.

Susbt. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -4, y= 6,

6= -2(-4) +c

6= 8 +c (expand)

c= 6 -8 (-8 on both sides)

c= -2 (simplify)

Thus, the equation of the line is y= -2x -2.


Related Questions

Susie and Peggy arrive at the fair with $32.50. The entrance fee per person is $7.50 and each ride costs $2.50 per person. What is the total number of rides they can go on if they each pay the entrance fee? Write and solve an equation for this situation

Answers

32.50 - (7.50*2) = 17.50

17.50 / 2.50 = 7

Evaluate the expression when g=3 and h=39.
h-5g

Answers

Answer:

29

Step-by-step explanation:

g=3 h=39

h-5g

Substitute the values in for the variables :

39-5(3)

Order of operations: multiply first

39-15

=24

Hope this helps :)

Last month, Jim ate 4 strawberries. Finn ate 1/8 as many strawberries as Jim did. How many strawberries did Finn eat?

Answers

Answer:

He ate 0.5 strawberry

Step-by-step explanation:

4÷8 or 4×(1/8) =0.5 strawberry

Edit 1: Typo

Answer:

1/2 or half a strawberry

Step-by-step explanation:

1/8*4

JUST ANSWER ME PLEASE

Do the ratios 20/10 and 1/2 form a proportion?

Answers

Answer:

no

Step-by-step explanation:

they do not form a proportion because they are not equivalent to each other.

Write the improper fraction 33/10 as a mixed number

Answers

the answer is 3 3/10

hope this helps

Answer = 3 3/10

there’s 33 take away the ones that go to ten.

10 10 and 10 is 30. Therefore it’s 3 and 3/10

1. 6(8+7)=6∙8+6∙7 (this is an example of which property?)


A) Associative (addition)

B) Associative (multiplication)

C) Commutative

D) Distributive


Answers

Answer:

d: distributive

Step-by-step explanation:

8 ( 8 + 7 ) = 6 x 8 + 6 x 7, it may seem like commutative, except it pulls the parentheses  out making it distributive.

A bag of marbles contains 3 red marbles, 7 blue marbles, and 5 orange marbles. If a marble is drawn from the bag and not replaced, then a second marble is drawn. Calculate P(red then orange):

Answers

Answer:

[tex]\dfrac{1}{14}[/tex].

Step-by-step explanation:

It is given that,

Red marbles = 3

Blue marbles = 7

Orange marbles = 5

Total marbles = 3+7+5 = 15

Probability of getting a red marble is

[tex]P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]

[tex]P(Red)=\dfrac{3}{15}[/tex]

[tex]P(Red)=\dfrac{1}{5}[/tex]

If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,

Probability of getting an orange marble is

[tex]P(orange )=\dfrac{\text{Orange  marbles}}{\text{Total remaining marbles}}[/tex]

[tex]P(orange)=\dfrac{5}{14}[/tex]

Now,

[tex]P(\text{red then orange})=P(Red)\times P(orange)[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{14}[/tex]

Therefore, the required probability is  [tex]\dfrac{1}{14}[/tex].

Is 8/5
an irrational number?

Answers

No, it’s not. It’s a rational number

Let sin(45°)=0.7071.Enter the angle measure (μ), in degrees for cos(μ)=−0.7071.
any value equivalent to 360n +
, wheren is an integer

Answers

Given :

Let sin(45°)=0.7071.

To Find :

The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .

Solution :

We know , value of sin x and cos x is same at x = 45° .

Now , cos (-x) = cos(90°+x)

Therefore , μ in given question is :

μ =90°+45°

μ=135°

So , for angle of type 360°n + :

μ = 360°n + 135° .

Hence , this is the required solution .

Evaluate each expression. 12k − h​ 2​; use h = 2, and k = 3

Answers

12(3)-(2)2
36-4
Answer: 32
Hopes this helps & if I don’t get it right I’m sorry

what is 18 less than the quotient of a number and 3 as an expression

Answers

Answer:

n/3 - 18

Step-by-step explanation:

"quotient of a number and 3" is n/3, and so

"18 less than the quotient of a number and 3" as an expression is:

   n/3 - 18

A runner completed a 26.2 mile marathon in 5 hours. a) What is her speed in miles per hour? b) What is her speed in feet per second? Note that there are 5280 feet in 1 mile.

Answers

Step-by-step explanation:

in this problem, we are expected to convert from miles per hour to feet per second

a). What is her speed in miles per hour?

we know that speed= distance/ time

given that

distance= 26.2 mile

time= 5 hours

substitute and solve for speed we have

speed= 26.2/5

speed= 5.24 miles per hour

b) What is her speed in feet per second?

1 mile per hour is 1.46667 feet per second

5.24 miles per hours will give x

cross multiply to solve for x we have

x= 5.24*1.46667

x= 7.68 feet per seconds

If a/\2+1/a/\2=11, then a+1/a=?

Answers

Answer:

[tex] \pm \sqrt{13} [/tex]

Step-by-step explanation:

[tex] \bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13} [/tex]

Can someone please help me I need help

Answers

Answer:

C and B.

Step-by-step explanation:

f(x) = 4 - x^2.

The degree of f(x) is 2, which means it is a quadratic graph. The coefficient of x^2 is negative, which means the curve is pointing downwards. The only curve that satisfies this is Graph C.

f(x) = 2^x + 5.

Notice that 2^x is positive for all real values of x. Therefore the answer is Graph B.

The first one is graph c. The second is graph b.

How do I simplify -11+5+6(-6+13)^2

Answers

Answer:

288

Step-by-step explanation:

To simplify use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First simply -6 and 13 (since they are in the parenthesis)

-11+5+6(7)^2

Now find out what 7^2 is

-11 + 5 + 6(49)

Next multiply 6 and 49 (294)

Lastly add 5 then subtract 11 from it

299-11

288

Answer:

Hello! :) I hope I am correct!

Step-by-step explanation:

(The answer should be 288)

Below is the steps!!

Steps:

⇒-6+6(-6+13)^2

⇒-6+6(7^2)

⇒-6+(6)(49)

The answer would be 288 if you solve this equation.

The last step:

⇒-6+294

Which equals 288

Therefore your answer would be 288.

Hope this helps!

By:BrainlyAnime! ^-^

(Just in case you didn’t understand, I attached a picture!)

Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample’s volume?

Answers

Answer:

volume of the sample is 10 cm³

Step-by-step explanation:

volume = 80 g / 8 g/cm³

volume = 10 cm³

I hope this helps you :)

-KeairaDickson

what is the answer?

1/3x + 4 = x - 2

Answers

Answer:

The answer is x = 9

Step-by-step explanation:

(1/3)*x+4 = x-2 // - x-2

(1/3)*x-x+2+4 = 0

6-2/3*x = 0 // - 6

-2/3*x = -6 // : -2/3

x = -6/(-2/3)

x = 9

the difference of a number x and 5

Answers

Answer:

x-5

Step-by-step explanation:

"difference" means subtraction. since there isn't a specific number given then we can use x. "and" indicates where the symbols goes.

A factory uses 1/3 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 2/3 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

Answers

Answer:

2

Step-by-step explanation:

since it takes 1/3 to make one batch then you have 2/3 it means yesterday they made 2 batches

Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2

Answers

Answer:

the range= {-16, -6, 0, 2}

Step-by-step explanation:

domain={0,1,2,3}

g(x)= -2x^{2} + 2

g(0)= -2(0)^{2} + 2 =2

g(1)= -2(1)^{2} + 2 =0

g(2)= -2(2)^{2} + 2= -6

g(3)= -2(3)^{2}+ 2= -16

the range = {-16, -6, 0, 2}

If 26 out of 100 high school students plays high school sports, what fraction
and what percentage of high school students do not play sports?
Check all that apply

Answers

Answer:

26%, 26/100

Step-by-step explanation

The total students will your denominator, and the number "out of" the total will be your numerator, so the fraction is 26/100. Next, convert the fraction into a decimal by dividing 26 by 100, making it 0.26. To convert a decimal into a percent, move the decimal two places to the right, ie, 0.26 becomes 26%.

Answer:

74/100 and 74%

Step-by-step explanation:

- 3c = - 5 — 4с
I want to know the answer

Answers

Answer:

c=-5

Step-by-step explanation:

Which number line have a point that is equal to point p? Check all that apply

Answers

A and C is the answer

Answer: A and C

Step-by-step explanation:

Write x < -3 in set-builder notation

Answers

Answer:

{x is a set of Z, x<-3}

Step-by-step explanation:

Z-integer

Mr. Smith set aside 5/6 of an hour for homework after school each day. How many hours of homework does he do in 5 days?

4 1/6 hours
3 1/2 hours
4 1/2 hours
50 minutes

Answers

The answer is 1/2 hours

An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?

Answers

Given :

An adults heart beats about 2100 times every 30 minutes.

A baby beats about 2600 times every 20 minutes.

To Find :

How many more heart beat baby have than adult in 60 min .

Solution :

Now , total number of heart beats of adult in 60 min , [tex]T_a=2100\times 2=4200[/tex]

Also , total number of heart beats of adult in 60 min , [tex]T_b=2600\times 3=7800[/tex]

Difference between them , [tex]7800-4200=3600[/tex] beats .

So , baby have 3600 more heart beats than adult .

Hence , this the required solution .

Question /
Alice is three more than twice Emma's age. The sum of their ages is 48. How old is Alice?

Answers

Answer:

Alice is 33 years old.

Step-by-step explanation:

Alice is 3 more than twice Emma's age:

E = Emma

A = Alice

A = 3 + 2E

Sum = 48 years

So,

A + E = 48

(3+ 2E) + E = 48

3 + 2E + E = 48

3 + 3E = 48 (-3 both sides)

3E = 45

E = 45/3

E = 15

Emma is 15 years old.

A = 3 + 2E

A = 3 + 2(15)

A = 3 + 30

A = 33

Alice is 33 years old.

If a car travels 600 meter in 20 seconds how fast is it going

Answers

Answer:

30 meters per second

Step-by-step explanation:

Step 1:

600 ÷ 20 = 30

Answer:

30 meters per second

Hope This Helps :)

Answer:

30 m /s

Step-by-step explanation:

We are looking for the speed

d/t = speed

600m / 20 second

30 m /s

I need help finding the Function notation

Answers

Answer:

  1.5, -8, 0, 2f, 2/3

Step-by-step explanation:

j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.

  j(0.75) = 2(0.75) = 1.5

  j(-4) = 2(-4) = -8

  j(0) = 2(0) = 0

  j(f) = 2f

  j(1/3) = 2(1/3) = 2/3

solve this please
[tex]5x - 2(4x + 11) = 14[/tex]

Answers

Answer:

Step-by-step explanation:

5x - 8x - 22 = 14

-3x - 22 = 14

-3x = 36

x = -12

Answer:

x = -12

Step-by-step explanation:

5x - 2(4x+11) = 14

5x - 2*4x -2*11 = 14

5x - 8x - 22 = 14

-3x = 14 + 22

-3x = 36

x = 36/-3

x = -12

Check:

5*-12 -2(4*-12 + 11) = 14

-60 -2(-48+11) = 14

-60 -2(-37) = 14

-60 + 74 = 14

Other Questions
IT professionals have a responsibility to set up computers with the proper safeguards. Which of the following is a safeguard that can be installed on a computer? Check all of the boxes that apply. malware protection antivirus software spyware protection anti-firewall protection Solving with the Speed equation: v= d/t(add to notes if desired)3. Juan has ridden his bike a total distance of 20 km. If his average speed was 15km/h,how much time did he ride for?a)What is given in the problem? (Circle)b) What are we trying to find? (Square)What will be the units to our solution?d) Plug into the speed equation and solve. Find the following integral. Integrate x + 5/x^2 +10x +26 dx Question 1 of 10What was the main purpose of the Declaration of Independence?A. To list all the wrongdoings of the king so that the British peoplewould put him on trialB. To scold the king for not protecting the people's rights and to askhim to make changesC. To establish a new government that worked in the best interestsof the colonistsD. To create a new set of laws for the people that British colonistshad to respect 2. Find the fraction which is exactly halfway between 1/7 and 4/7 A river runs from its ________________ to an Ocean or Lake. Select one: a. Stem b. Foundation c. Headwaters d. Tributaries Which is not part of the line segment diagram below? Pleaseee Helpp what does balancing the charges mean when writing an ionic formula After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave the dogs t more treats. All together that day, Luca's dog got 10 dog treats. Write an equation to describe this solution. How many dog treats did Luca's dad give the dogs? which colony was the furthest south If this container of gas is heated,then the pressure inside the container willincrease because pressure increases astemperature increases.Hypothesis Theory Law A group of students decides to investigate the loss of chlorophyll in autumn leaves. They collect green leaves and leaves that have turned color from sugar maple, sweet gum, beech, and aspen trees. Each leaf is subjected to an analysis to determine how much chlorophyll is present. What would you advise the students about replication for this experiment? 3.7m53.7m2 How do I complete this expression? In your OWN WORDS define Maximilien Robespierre. Thomson's contribution to the atomic theory was thediscovery that negatively-charged electrons wereembedded within a positively-charged "soup". Lateron Rutherford preformed the gold foil experimentwhich altered Thomson's contribution. What werethe conclusions of Rutherford's Gold FoilExperiment?O The atom is made up of mostly empty space with a tiny,dense, positively-charged nucleus.O The atom is mostly empty space, with negative chargeconcentrated at the center.O The atom is mostly empty space, with positive chargesspread evenly across it.O The atom is mostly empty space. No other conclusionscould be made. I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i need to rotate it to return to the start position. Question: A long-term effect of the concerns expressed by Nathaniel Bacon wouldbe... 3/4+5/36+7/144+.......+17/5184+19/8100(a)0.95 (b)1 (c) 0.99 (d)0.98 Field data have indicated that Unit A has a failure rate of 0.0004 failure per hour. Calculate the reliability of the unit for a 150-hour mission. 217. A 52-year-old woman with essential hypertension, hypercholesterolemia, and chronic-stable angina develops severe constipation. It isattributed to one of her medications. What was the most likely cause?a. Atorvastatinb. Captoprilc. La betalold. Nitroglycerine. Verapamil