Which is an equation of the line through the origin and (-4,-9)?

Answers

Answer 1
ExplanationCalculate the slope by using the rise over run with two given coordinate points.

Note: Origin point = (0,0).

[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]

Slope-Intercept

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Rewrite the equation by substituting m = 9/4 in the equation.

[tex]y = \frac{9}{4} x + b[/tex]

Find the value of b.

Because the graph passes through the origin point. That means the y-intercept is (0,0).

Therefore we rewrite the equation again to

[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]

Answer

[tex] \large \boxed{y = \frac{9}{4} x}[/tex]


Related Questions

-8/5x -6 equals -54. what is x

Answers

Answer:

30

Step-by-step explanation:

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

A​ dig-your-own potato farm charges​ $1.27 per pound of potatoes plus​ $0.20 per pound to clean the potatoes. Kevin digs 30 pounds of potatoes. The farm cleans 8 pounds for him. How much does Kevin pay in​ all?

Answers

Answer: $39.70

Explanation:

1.27 x 30 = 38.1

0.20 x 8 = 1.6

38.1 + 1.6 = 39.7

Destiny draws a circle with radius 14 centimeters. What is the circumference of Destiny's circle? Write your answers using pi. Show your work.​

Answers

Answer: 87.92cm

Step-by-step explanation:

The radius is 14, you need to find the diameter(multiplied by 2) which is (14x2) or 28 . Next Multiply 28 by pi or 3.14.

3.14x28 = 87.92

The circumference of the circle is 87.92 cm

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

Scale factor = 1.5

Step-by-step explanation:

Formula for the scale factor,

Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]

In this question, image is triangle Y and preimage is triangle X.

Scale factor of X to Y = [tex]\frac{15}{10}[/tex]

                                    = 1.5

Therefore, scale factor = 1.5 is the answer.

Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.55 and each cup of hot chocolate costs $1.05. If he pays a total of $9.35 for 7 cups, how many of each does he buy?

Answers

Answer:

he buys 6.78

Step-by-step explanation:

1 Which fraction is equivalent to 1/6?
3/8
2/8
3/24
4/24​

Answers

Answer:

4/24

Step-by-step explanation:

24 divided by 6 equals 4

Answer:

4/24

Step-by-step explanation:

1/6

=1 × 4 = 4

=6 × 4 = 24

=1/6 = 4/24

prove that (n+5)^2-(n+3)^2 is a multiple of 4 for all positive integer values of n

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex](n+5)^2-(n+3)^2[/tex]

Required

Show that [tex](n+5)^2-(n+3)^2[/tex] is a multiple of 4

Expand each bracket

[tex](n+5)(n+5)-(n+3)(n+3)[/tex]

Open brackets

[tex]n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)[/tex]

[tex]n^2 + 10x + 25 - (n^2 + 6x + 9)[/tex]

Open bracket

[tex]n^2 + 10x + 25 - n^2 - 6x - 9[/tex]

Collect Like Terms

[tex]- n^2 + n^2 - 6n + 10n + 25 - 9[/tex]

[tex]- 6n + 10n + 25 - 9[/tex]

[tex]4n + 25 - 9[/tex]

[tex]4n + 16[/tex]

Factorize

[tex]4(n + 4)[/tex]

Hence, the multiples of [tex](n+5)^2-(n+3)^2[/tex] are [tex]4[/tex] and [tex](n + 4)[/tex]

Help.

Determine the unknown values, R and W, in the figure below.

Answers

Answer:

W = 28.63

R = 15.59

Step-by-step explanation:

From the right triangle given in the picture,

By applying sine rule in the triangle,

sin(57°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{24}{W}[/tex]

W = [tex]\frac{24}{\text{sin}(57)}[/tex]

W = 28.63

Similarly, by tangent rule,

tan(57)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

1.54 = [tex]\frac{24}{R}[/tex]

R = [tex]\frac{24}{1.54}[/tex]

R = 15.59

What property would you use to find an equivalent expression for 8 + ( 7 + 9)?

Answers

Answer:

Associative Property

Step-by-step explanation:

I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)8 + 7 + 9(8 + 7) + 9(8 + 9) + 7

I hope this helps!

Answer:

associative property using this question

ima cry brainliest giving it out

Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?

Answers

Answer:

23.1%

Step-by-step explanation:

11/48=0.23125

Round up for percent.

0.231x100=23.1

23.1%

Help me with question. Please!

Answers

Answer: The answer is c

Step-by-step explanation: mark me as  brainlisti plsssssssssss

Answer:

The answer I believe is B

Step-by-step explanation:

I made a mistake with me math so i went over and found the the statement is still invalid so the answer is b, sorry again.

Jennifer spent $100 at the mall, during tax free weekend.

She purchased a pair of jeans for $55. She bought (2) t-shirts for $20. Jennifer paid $25 for a new cell-phone case.

What percentage of Jennifer's money was spent on the jeans and t-shirts?
A.75% B.80% C.70 D.55% pls hurry.

Answers

Answer:

A

Step-by-step explanation:

55+20=75 and the other percentage is 25

How would the one-step equation 5s = 240 be solved?


Multiply one side by 5


Multiply both sides by 240


Divide both sides by 5


Divide one side by 5

Answers

Answer: Divide both sides by 5

Step-by-step explanation:

Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?

Answers

Answer:

48 years old

Step-by-step explanation:

Let x = Mikhail's age

then x-15 = Gabrielle's age

x + x-15 = 81

2x-15 = 81

2x = 96

x = 48 years old

Answer:

44

Step-by-step explanation:

x+(x-12)=76

2x-12=76

2x=76+12

2x=88

x=88/2

x=44

Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate proportion for each of the following situations. In each case, assume the values are approximately bell-shaped. (Round your proportions to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) The proportion of SAT scores falling below 420 for a group with a mean of 500 and a standard deviation of 100. -0.8 Correct: Your answer is correct. (z-score) (approximate proportion)

Answers

Answer: uhhhh what

Step-by-step explanation:

Helppppppppppppppppppppppp please

Answers

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

Triangles

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

Rectangle

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

-3g = 9 what does g =

Answers

Answer:

g=-3

Step-by-step explanation:

-3g=9

divide through by-3

g=9/-3

g=-3

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3g=9  Equation/Question

Step 2

-3g=9  Simplify

-3g=9

Step 3

-3g =9   Divide by 3

answer

-3

Hope this helps

A square gate has a brace 3.5 feet long.
Approximately how wide is the gate?
F. 2.0 feet
3.5 ft
G. 2.5 feet
H. 4.9 feet
J. 6.1 feet
Answer

Answers

Answer:

h

Step-by-step explanation:

_____indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Select one:
a. Tolerance for ambiguity
b. Risk propensity
c. Workahollism
d. Authoritaritznism

= Tolerance for ambiguity ​

Answers

Step-by-step explanation:

indicates the level

of uncertainty that people can

tolerate to work efficiently without

experiencing undue stress

I need the answer. Please hurry

Answers

The answer is the first one! :)

If three pounds of bananas cost $4.50 find the cost of 10 pounds of bananas

Answers

Answer:

45

Step-by-step explanation:

4.50 × 10 =45!

.

.

.

.

.

.?

.

.

.

.

.

Answer:

$15

Step-by-step explanation:

$4.50 time 3 = $13.50 (9 lbs)

$4.50 divided by 3 = $1.50 (1 lb)

$1.50 plus $13.50 = $15

six less than six times a number is 12​

Answers

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

6x-6=12
6(3)-6= 12
18-6=12
12=12
The number is 3

(4y' - 49 +8) - 092-y+3)

Answers

Answer:

3y-130

Step-by-step explanation:

hope this was helpful! c:

Answer:

3y-130 hope this helps

Step-by-step explanation:

write the expression as a product of the to factors: 6m+ 8n+ 4 ​

Answers

Answer:

No answer do u today

Step-by-step explanation:

Lol

H hi ha job un hi is ihnihniuniunihn como te quiero

The line at the bullet roller coaster is moving about 4 feet for every 15 minutes. At this rate, how many hours would it take for a person to travel 24 feet? Set up a proportion and solve.

Answers

Answer:

90

Step-by-step explanation:

4/15 which is our fraction distance/time

our other fraction is 24/x (x is our variable to find our time)

Now we are doing the buultterfly method

set it up

now multiply 4*x= 4x

15*24=360

now divide 4x ÷ 4 to get our variable alone

do the same to the other side

4 ÷ 360= 90

so x= 90 which is our missing number

Estimate the product
A)Close to 40
B)Close to 004
C)Close to 0.4
D)Close to 4

Answers

Close to 0.4 aka c :))

Answer:

D) Close to 4

Step-by-step explanation:

Round both numbers and multiply them.

Write an equivalent expression in standa
form and collect like terms.
2x - (x + 8) - 4

Answers

the answer is x-12!

explaination:
2x-(x+8)-4
first, distribute the negative to x and 8
2x-x-8-4
then collect like terms (2x-x) then (-8-4)
2x-x= x and -8-4= -12 therefore the answer is
x-12.

hope this helps!

2/3 of a yard = ______ inches

Answers

Answer:

24 inches

Step-by-step explanation:

you're welcome

PLEASE HELP I WILL GIVE BRAINLIST! <3
On a certain hot​ summer's day, 606 people used the public swimming pool. The daily prices are 1.25 for children and 2.50 for adults. The receipts for admission totaled $1098.75. How many children and how many adults swam at the public pool that​ day?

Answers

478 adults and 3 children?

Use the following sets to answer the following:
Y: The set of yellow attribute pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
SB: The set of small blue attribute pieces
L: The set of large attribute pieces
1. Which pairs of sets, if any, can be put into one-to-one correspondence?
2. Which pairs of sets, if any, are equal?
3. Which pairs of sets, if any, are disjoint?
4. Which set is a proper subset of another?
5. Which attribute pieces are in Y ∩ L?
6. Which attribute pieces are in Y UL?

Answers

Answer:

i have no clue

Step-by-step explanation:

tbh

Other Questions
josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The dried cranberries weight 8.5 ounces and cost $0.30 per ounce. The dried bananas weigh 10.5 ounces and cost $0.20 per ounce. How much does josie spend on the dried food 20. In the proportion 10:18=35:63, then which of thefollowing is NOT trueThe product of extremes 630The product of mean 350The sum of extremes 73The sum of the mean is 53 Make a list of the Internet communication methods you use to stay in touch with friends and family. After each method, write down the approximate minutes or hours you spend on this method each day.Choose two of the methods that you frequently use and describe the advantages and disadvantages of spending your daily time on each one. How do you think Amanda was able to earn the title ofNational Poet Laureate? THIS IS URGENT!!!!Which term refers to a representation that does not include human forms? Lee la frase y escoge la foto que corresponde.Esta persona usa un traje con cinturn y zapatos de cuero, una corbata a lunares y lleva su portafolio en la mano. The UN forbid any arms to be sold to Sudan until the civil war ended. This is an example of which trade barrier?AArgumentBTariffCQuotaDEmbargo define immunology?please answer this question Which phrase became popular after passage of the Stamp Act Help !!!See question in image.Please show workings . Schizophrenia is a mental disorder in which a person loses contact withreality. *TrueFalse Guys, I have sooo much schoolwork. Why is it when the last couple of days left in the semester do they decide to give us all the work then? Im stressing over this sooo much its not even funny. And if i dont get it done then im screwed. go ahead take my points ak for brainliest not like ppl on here really care anyways. they just want the points and stuff to themselves they dont actually want to help othersss. Plss answer the question in the picture. The founding principles of the Confederacy were described in an 1861 speech byJefferson Davis.Stephen Douglas.John C. Breckinridge.Abraham Lincoln. Easy Area problem Need it fast Complete the table below to solve the equation 2.5x 10.5 = 64(0.5x).xf(x) = 2.5x 10.5g(x) = 64(0.5x)23456 Write a Story about A Pig who saw A ant. PLEASE HELP!! IT HAS TO BE AT LEAST 8 SETENCES. I REALLY DONT KNOW WHAT TO WRITETHIS IS URGENTT: Speed AND direction 4x+85(3-x) solve with steps pleaseee! 2. How did mechanization lead to the Dust Bowl?Gas powered tractors and harvesters increased erosion by damaging the soil.Gas powered tractors and harvesters prevented water from penetrating the soil by thickening its winter coat.Gas powered tractors and harvesters hardened the soil by repeatedly driving over it.Gas powered tractors and harvesters produced a drought by release fumes into the atmosphere.