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

A. y= 4x

B. y = 4/9x

c. y = 9/4x

D. y = 9x​

Answers

Answer 1

Answer: c) y = 9/4 · x

Step-by-step explanation:

We can use slope formula to find the slope of a line that passes through two points (x₁ , y₁) and (x₂ , y₂)

m = ∆y/∆x = y₂-y₁/x₂-x₁

Given points are: P(x₁ , y₁) = (0, 0) and Q(x₂ , y₂) = (-4, -9)

Substituting these two known points in the slope formula, we have:

m = (-9-0)/(-4-0) = -9/-4 = 9/4  

Now we can use the point-slope formula to write the equation of a line given a point on the line and the slope of the line:  

m = 9/4 , given point P(x₁ , y₁) = (0, 0)  

Formula = (y-y₁) = m(x-x₁)  (y-0) = 9/4(x-0)  y = 9/4 · x

Answer: c)  y = 9/4 · x

Spymore

Related Questions

Solve the following System of Equations using Substitution or Elimination Method.
3x + 2y = 12

12x + 8y = -15

Answers

Multiply the whole top equation by 4 to get rid of the x’s
4(3x+2y=12)

12x+8y=48
12x+8y=-15

0 ≠ 63
NO SOLUTION

Solve for z. 1+2z<5.

Answers

Answer:

z < 2

Step-by-step explanation:

1 + 2z < 5

-1          -1

2z  < 4

z < 4 ÷ 2

z < 2

FOR 40 POINTS
The is used to measure volume.
choices:
meter
gram
liter

Answers

Answer:

liter

Step-by-step explanation:

Solve the following absolute value equation in the work space. Be sure to circle
your answer(s).
|3t +3|=18

Answers

Answer: so the answer t= 5, -7

3t + 3 = 18

( we subtract 3 from both sides)

3t + 3 = 18

    - 3     -3

3t    =   15

( then we divide both sides by 3 )

3t/3  =   15/3

t = 5

(and this is the negative part, we do most of the same steps as teh last one)

3t + 3 = -18

    -  3      -3

3t   =  -21

3t/ 3  = -21/ 3

t = -7

hope this helps!!!

What is the ratio of 3:6

Answers

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

TheStudent Government buys sweatshirts for $10 and sells them for $25. Find the percent of increase.

Answers

Answer:

4

Step-by-step explanation:

4444

8) Shawna had $20 to spend on six pencils. After buying them she had
$2. How much did each pencil cost?

Answers

It cost 2 dollers each.

Find the unit rate. $30 for 2 1/2 hours of work

Answers

Answer:

12$ an hour.

Step-by-step explanation:

Simply set it up as fraction in a way set it as  30/2.5 and divide both values by 2.5 which you get 12 from 30 and 1 from 2.5 there's your unit rate. 12/1 or 12$ an hour.

What is the slope of a line parallel to the line whose equation is 2x + y = 6. Fully
reduce your answer.

Answers

The slope is -2, b/c you subtract the 2x from both sides, which makes 2x a negative in its new side

Which of the following points would be on the graph of the equation y=-3x + 1?
A. (-4, -10)
B.(-4, 22)
C. (1, -10)
D. (1, - 2) ​

Answers

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

The intercept would be (0, 1)

Please help! It’s already late! Help asap!

Answers

Answer:

D

explain:

attachment

Answer:

The answer is x = 6.

Step-by-step explanation:

The middle line is 2, and the leg is [tex]\sqrt{13}[/tex]. We can use the pythagorean theorem and use [tex]\sqrt{13}[/tex] as the hypotenuse and have 2 be a leg.

[tex]a^{2} + b^{2} = c^{2} \\\\2^{2} + b^{2} = \sqrt{13}^{2}[/tex]

[tex]4 + b^{2} = 13\\\\b^{2} = 9\\b = 3[/tex]

Since we know one of the bottom parts of x is 3, and the other triangle is the same as the on we solve, we do 3 + 3 which is 6. 6 is equal to x.

#teamtrees #WAP (Water And Plant)

What steps are used to solve this equation?


6f = 48


Complete each statement.


First, _____

on both sides of the equation.

Next, simplify the equation to determine that the solution of the equation is

.

Check the solution by substituting

for f and simplifying.

Answers

Answer:

What steps are used to solve this equation?

6f = 48

Complete each statement.

First,

✔ divide by 6

on both sides of the equation.

Next, simplify the equation to determine that the solution of the equation is

✔ f = 8

.

Check the solution by substituting

✔ 8

for f and simplifying.

Step-by-step explanation:

The solution of the given equation would be 8.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

A system of equations is two or more equations that can be solved to get a unique solution and the power of the equation must be in one degree.

We are given the equation as;

6f = 48

We have to Complete each statement.

First, divide by 6 into both sides of the equation.

f = 48/6

Next, simplify the equation to determine that the solution of the equation is

f = 8

Check the solution by substituting for f and simplifying.

6  x8 = 48

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. which expression can he use to figure out the number of holes he will need to drill

Answers

Answer: 36 / 2 1/4

Step-by-step explanation:

From the question, we are informed that Jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. The expression that he can use to figure out the number of holes he will need to drill will be:

= 36 ÷ 2 1/4

From the expression we can then calculate the number of hours to drill. This will be:

= 36 / 2 1/4

= 36 / 9/4

= 36 × 4/9

= 16

He'll need to drill 16 holes

Answer:

18c

= 18(36)

= 648

Step-by-step explanation:

i hope this helps and im on edmentum

Find the slope and the y-intercept of the graph of y
-4/5x - 2

Answers

Answer:

slope - (-4/5)

y- intercept - (0,-2)

Step-by-step explanation:

Answer:

the slope is -4/5 and the y intercept is -2

Step-by-step explanation:

Which coordinate pair is a solution of the linear
equation below?
-x - y = -2
Click on the correct answer
(-8,-10)
(8,10)
(-8,10)

Answers

Answer:

The answer is (-8,10).

Your answer is: (-8,10)

Happy holidays!! :)

A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.

Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.

Answers

Answer:

why is your profile therealeisha1

Step-by-step explanation:

i love her so much

is 4/3 = 8/6 a proportional?

Answers

Answer:

its b

Step-by-step explanation:

b

Answer:

Yes 4/=8/6 are proportional

If you look at the first fraction 4/3 and multiply 2 by the denomenator and numerator it will equal to 8/6 . Now to switch it up 8/6 divided by 2 is 4/3 so yes the t2 fraction are proportional.

Step-by-step explanation:

evaluate 8+t to the power of 3 when t equals 2

Answers

Answer:

It's 994

Step-by-step explanation:

Urgent !! To solve a system of equations into y2. Given the following information, find the solution to the system of equations. i. The y-intercepts for the lines are (0,3) and(0,-7) ii. Line 1 has a slope of -3 iii. Line 2 has a slope of 2

Answers

Answer:

i think 2 if not sorry

Step-by-step explanation:

it makes the most  scene to me

m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.​

Answers

Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

Solve the system of equations using the substitution method (solving for x and y intercepts). Please give graphing points.
x+y=5
2x-y=-2
WILL GIVE BRAINLIEST​

Answers

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given:  x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

isolate the variable on the following problem. show your work.

-2=-4+x​

Answers

Answer:

x=2

Step-by-step explanation:

Add 4 to both sides:

-2=-4+x​

-2+4=-4+4+x​

2=x

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

First we must add 4 to both sides.

[tex]-2 = -4 + x[/tex]

+4      +4

-4 + 4 = 0

-2 +4 = 2

Isolating a variable means that it is alone on its side of the eqation.

[tex]2 = x[/tex]

x is now isolated and we also have the solution for it.

[tex]x = 2[/tex]

what does 9a-2=12+2a​

Answers

Answer:

a=2

Step-by-step explanation:

Subtract 2a from both sides.

9a−2−2a=12

Combine 9a and −2a to get 7a.

7a−2=12

Add 2 to both sides.

7a=12+2

Add 12 and 2 to get 14.

7a=14

Divide both sides by 7.

a=[tex]\frac{14}{7}[/tex]

Divide 14 by 7 to get 2.

a=2

A proportion(Equivalent fraction) is a set of two equal ratios for example: 20/30=10/15 true or false!!! Please answer fast

Answers

Answer: true

Step-by-step explanation:

That is true . Divide by 2 = 10/15

Can somebody plz answer this question quick and correctly!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D

Answers

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

Choose the equation that shows a step in the
process of completing the square on the given
quadratic.
y=x2 + 8x - 3
O y=x2 + 8x + 8 - 3-8
Oy=x2 + 8x + 8-3 +8
O y = x2 + 8x + 16 - 3 - 16
O y = x2 + 8x +16 - 3+16

Answers

Answer: y = x2 + 8x + 16 – 3 – 16

Step-by-step explanation:

Solve for x and graph the solution on the number line below.
2 > X – 2 or 4 < X - 2

Answers

okay so

-x

solutions 0,0 and 6,0

put that on the x axis

1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the water. Find the length of the pole.​

Answers

Answer:

75 m

Step-by-step explanation:

Let the length of the pole to be : x m

1/5 of x is inside the mud, this will be : 1/5 x

2/3 of x in inside water , this will be : 2/3 x

10 m remaining is above the water surface. Finding the fraction that remains will follow;

x - {1/5 x + 2/3x } = 10

x-13/15 x =10

2/15 x = 10

x= 75 m

Find the vale of x and explain.

Answers

Answer:

x=37

Step-by-step explanation:

You know all the angles in a triangle add up to 180.

Therefore, you add 72° and 71° which equals 143.

Then you subtract 180 and 143 which equals 36.

[72+71=143

180-143=37]

I hope this helps you!

Help meee pleaseee :(​

Answers

Hi there!

[tex]\large\boxed{tan\text{ } (\frac{-\pi }{6})}[/tex]

**Recall that tangent is Opposite / Adjacent**

tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:

tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.

tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.

cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.

tan (-π / 6) is equal to -1 / √3. This choice is correct.

Therefore, the correct choice is tan (-π / 6).

The answer I got was the last one that is correct
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