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

_____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! :)

2/3 of a yard = ______ inches

Answers

Answer:

24 inches

Step-by-step explanation:

you're welcome

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:

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

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

-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

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

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

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

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

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

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:

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

Answers

Answer:

30

Step-by-step explanation:

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

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?

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!

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

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.

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]

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.

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

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.

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

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

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:

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%

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

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:

(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:

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