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

The median number of cars sold by 11 sales representatives in a certain month is 6. The range of number of cars
sold by those sales representatives that month is 4.
Determine if the following statement is true, is false, or does not contain enough information.
The fewest cars sold could be 0.
Choose 1 answers
True
False
Not enough information

Answers

Answer:

False

Step-by-step explanation:

Khan Academy

The given statement is False.

What is median?

'In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.'

According to the given problem,

Median = 6

Total count = 11

Range = 0

Now, range is the difference between the highest value and the lowest value.

Since, the median is 6, the highest number must be greater than 6. This would not have been possible if the lowest value was 0. If the lowest count had been 0, then the highest count had to be 4.
Hence, we can conclude, the fewest cars sold cannot be 0.

Learn more about median here: https://brainly.com/question/15923434

#SPJ2

is 4 1/2 equivalent to 4.5/100

Answers

Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.



plz help

Answers

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.

what‘s the maximum and minimum
pls help!!!

Answers

Answer:

D.By finding the unit rate and multiplying it by 7.

Step-by-step explanation:

The answer is D WIEIDMJDDISKKSJDJDJDUUX

I will give brainiest to whoever answers correctly !!

Answers

Answer:

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of 11487.

Step-by-step explanation:

The population of the town after x years is given by the following equation:

[tex]P(x) = 5000(1.181)^{0.1x}[/tex]

After 10 years, the population of the town will be of:

This is P(10). So

[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]

After 10 years, the population of the town will be of 5905.

After 50 years, the population of the town will be of:

This is P(50). So

[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]

After 50 years, the population of the town will be of 11487.

Please help this is for another person who doesn’t know the answer :)

Answers

Answer:

The answer is,

[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]

Can someone please answer

Answers

Hello!

We can graph by finding critical points - intersections, y-intercepts, x-intercepts.

Find the intersection point by setting the two equations equal to each other:

-4x + 3 = x - 2

Subtract x from both sides:

-5x + 3 = - 2

Subtract 3 from both sides:

-5x = -5

Divide both sides by -5:

-5x/(-5) = -5/(-5)

x = 1

Find the y-value of intersection by plugging in x = 1 into an equation:

y = 1 - 2 = -1

Intersection at (1, -1)

Find the x and y intercepts of each equation:

y = -4x + 3

Set x to 0 to find the y-intercept:

y = -4(0) + 3 = 3

Set y to 0 to find the x-intercept:

0 = -4x + 3

-3 = -4x

x = 3/4

Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).

y = x - 2

Set x to 0 to find the y-intercept:

y = 0 - 2 = -2

Set y to 0 to find the x-intercept:

0 = x - 2

x = 2

Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).

Graph the two equations with the solved critical points:

y = -4x + 3

--> (1, -1)

--> (0, 3)

--> (3/4, 0)

y = x - 2

--> (1, -1)

--> (0, -2)

--> (2, 0)

**Graphed below**

Y-4x=9 in standard form

Answers

Answer: y - 4x = 9 in standard form is -y + 4x = -9

BD bisects ABC. Find the value of x.
a.x=3/17
b.x=3
c.x=9
d.x=-3

Answers

The answer is option ‘b’

Please help!!! Will give brainliest!!!

Answers

Answer:d

Step-by-step explanation:

Both aren’t related But they do have some impact on eachother

Please I really need help on this one

Answers

Answer:

hope this hlp u

Step-by-step explanation:

the last one shows the radius

Answer:

figure 4 shows the radius

b. (1-4) Name two obtuse
angles in the shape
below:

Answers

Answer

ADC and BDC

Explain:

Answer:

Same like other users

need help asap please !!

Answers

Answer:

52

Step-by-step explanation:

2w - 78 = w - 26 ( being opposite sides of parallelogram)

2w - w = 78 - 26

w = 52

Hope it will help :)

An auto transport truck holds 12 cars. A car dealer plans to bring in 1, 150 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?


95 full truckloads with 12
cars on the 96th truck


960 full truckloads with 10
cars on the 961st truck


95 full truckloads with 10
cars on the 96th truck


96 full truckloads with 10
cars on the 97th truck

Answers

Answer:

95

Step-by-step explanation:

Ok so

so firs what we do is

1150/12 and ignore remainder

95 and remainder is 10

therefore we have 95 trucks full and 10 cars in the last truck

find the slope of a line parallel to the line through thepoints ) (10, 7) and (-4, 7) ​

Answers

Answer:

0

Step-by-step explanation:

7-7 over -4-10

That is 0/-14, which simplifies to 0

Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6

Answers

I will help you as soon as possible

Answer:

CD=8

Step-by-step explanation:

CD=1/2 of ZX

1/2 of 16= 8

Hope this helps!

Please mark me brainliest if you can. :)

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

Someone Help please with work!! 15pts​

Answers

Answer:

f(5) is equal to 5.

Step-by-step explanation:

You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value.  If you look closely, you'll see that the x value of 5 has a y value of 5 as well.

Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 page? *

Answers

Answer:

54 minutes

Step-by-step explanation:

Hope I helped!

I can almost guarantee this answer is correct.

Have a nice day!

Answer:

54 minutes

Step-by-step explanation:

Every 3 minutes she reads 1

18x3=54

Hope it helps

Help babyyyy I need itttt

Answers

Answer:

4

Step-by-step explanation:

A relay race covers a distance of 21/2 miles. Each runner on the team will run 1/4 miles how many runner needed for the team to cover the distances

Answers

Answer: 10

Step-by-step explanation:

Each mile has 4 quarter miles.

2.5 miles are covered.

4×2.5=10

Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.

Answers

x(4*1) because I’m just doing what I’m told.

Find the mean of 86, 87, 91, and 128

Answers

Answer:

98

Step-by-step explanation:

Answer:

296

Step-by-step explanation:

I hope this helps you out!

(BRAINLIEST) and more in the description.

Confession: I suck at math lol........

Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.

Answers

Answer:

33.8

Step-by-step explanation:

use long division

Answer:

33.8

Step-by-step explanation:

top in bottom out

5[tex]\sqrt{169\\}[/tex]

5 goes into 16 3 times therefore leaving you with 1. bring the 9 down next to the 1 and you have 19. 5 goes into 19 3 times so its 19-15=4 then you bring a zero next to the 4 and you get 40. 5 goes into 40 8times therefore leaving you with 33.8

Hoped this made sense :)

What is an angle that is adjacent to <2?

(PLEASE)

Answers

Answer:

∠3 and ∠1 are correct

Step-by-step explanation:

adjacent angles are next to each other with a common vertexand side

Good afternoon guys! Can anyone help me with this?

Answers

Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question

Step-by-step explanation:

I need help ASAP please

Answers

I can’t see the question

need help asap please

Answers

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.

I am joyous to assist you at any time.

please help me i cant under stand this

Answers

Answer:

Plot the same points that are on the table

Step-by-step explanation:

when given a table you are also given ordered pairs , so for example , the first pair on the table is (1,3) so plot that as your first point , then your second is (2,6) and so on . write these on the blank spaces aswell ! hope this helps :))))

Help please will mark brainliest!!

Answers

20x20=400
pi(3.14) x 10^2(100)
100x3.14=314
400-100pi=85.8407 (then you can round if you need to)
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