write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)

Answers

Answer 1

Answer (assuming it can be in slope-intercept form):

[tex]y = -2x +10[/tex]    

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula  [tex]y = mx + b[/tex]. Isolate y:

[tex]2x + y = 3\\y = -2x + 3[/tex]

The number in place of [tex]m[/tex], or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.  

2) Now, remember that the slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. In order to write an equation of a line using that formula, we need to substitute values for [tex]m[/tex] and [tex]b[/tex]. We know [tex]m[/tex] is the slope, so we already know what that equals. Now, we just need to find [tex]b[/tex].

To do that, substitute -2 for [tex]m[/tex] in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate [tex]b[/tex] and find its values:  

[tex]y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b[/tex]

So, [tex]b[/tex] = 10.

3) Substitute values for [tex]b[/tex] and [tex]m[/tex] into the slope-intercept formula to write the slope-intercept form of the line:

[tex]y = -2x +10[/tex]

Answer 2

Equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6) is y+2x=10

What are parallel lines ?

Lines which does not intersect each other at any point is said to be Parallel.

Here given equation of line is 2x+y=3

first we will write this equation in y=mx+c form

So y=3-2x

y= -2x+3

We know that slope of parallel lines is same

So equation of parallel line will be

y=-2x+a

Now we know that line is passing through (2,6)

So

[tex]6=-2(2)+a\\\\6+4=a\\\\a=10[/tex]

Hence equation of parallel line is y=-2x+10

or we can write it as y+2x=10

Equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6) is y+2x=10

To learn more about parallel lines visit :https://brainly.com/question/24607467


Related Questions

PLEASE HELP!
Please help me I don’t understand how to do this and it has to be done by tonight!!!

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Answer:

these are notes i wrote in geometry I'm not sure if this will help. it's been a few months since i did this

I needddd helpppppppppppooopp urgentttttt will mark brainliest

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yoooo what’s up i’ll help u rn how many minutes i have?

Find each missing measure, please help

Answers

Answer:

well i can't find the missing measure if the actual measure is missing

Step-by-step explanation:

Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!

Answers

I believe your answer would be C. Hope this helped!

What is the Equation of the line

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3-1}{4+4}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line

2 ft 10 inches of 3 1/2 ft​

Answers

Answer0.7

Step-by-step explanation:In math of mostly means to multiply ,so 2/10x3 1/2=0.7

Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?

Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste

Answers

Answer:

B

Step-by-step explanation:

i got it right

Help me out thank youuuu sooo much !!!

Answers

Answer/Step-by-step explanation:

There are actually two methods that can be used to calculate AC (x):

1. Using Pythagorean Theorem

2. Using Trigonometric Function

1. Using Pythagorean Theorem, we have:

x = √(15² + 20²)

x = √625

x = 25 units

2. Using Trigonometric Function:

Reference angle = 37°

Adjacent = 20

Opposite = 15

Hypotenuse = x

Apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 15/x

x × Sin 37 = 15

x = 15/sin 37

x = 24.9246021 ≈ 25 units (nearest whole number)

Amir thinks of a number,
He triples it and adds 9 to get 54.
What number did he think of?​

Answers

Answer:

The number he think of is 15

Step-by-step explanation:

Let x be the number

3x + 9 = 54

x = (54-9) / 3

x = 15

The number he think of is 15

Answer:

15

Step-by-step explanation:

3x + 9 = 54

x = (54-9) / 3

x = 15

Solve for x. Enter the solutions from least to greatest. (x + 3)^2 - 4 = 0

Answers

The solutions of x in the equation are -5 and -1

What are quadratic equations?

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to determine the solution of x?

The equation is given as

(x + 3)^2 - 4 = 0

Add 4 to both sides of the equation

So, we have

(x + 3)^2 = 4

Take the square root of both sides

x + 3 = ±2

Subtract 3 from both sides

x = - 3 ± 2

Evaluate

x = (-3 - 2, -3 + 2)

This gives

x = (-5, -1)

Hence, the solutions of x in the equation are -5 and -1

Read more about equations at

https://brainly.com/question/13763238

#SPJ1

The nominal resistance of a wire is 0.15 Ohm. Random testing of the wire stock yields the following resistance data:
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
Does the sign test yield the conclusion, at the 5% significance level, that the median resistance is less than 0.15 Ohm?

Answers

Answer:

The median resistance of the wire is not small than 0,15 Ω at 0,05 of level of significance

Step-by-step explanation:

From data we get    x ( sample mean ) s  ( sample standard deviation) and n size of the sample

0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152

0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147

n = 16

x ≈ 0,1487

s = 0,00193

Test Hypothesis

1.-Null Hypothesis               H₀                x  =  μ₀  = 0,15

Alternative Hypothesis  Hₐ                 x < 0,15

We assume data follows normal distribution

as n = 16 we should use a t-student table

As the question is : "Is the median resistance less than 0,15 0hm " we must use  one-tail-test ( to the left)

Then:

2.-Significance level  α = 5 %      α = 0,05

degree of freedom   n = 16     df = n - 1    df = 15

From t-table we find t(c) = 1,7531      at the left is t(c) = - 1,7531

3.-t(s) = ( x - 0,15 ) / s / √n

t(s) = 0,1487 - 0,15 / 0,00193/√16

t(s) = - 0,0013 * 4 / 0,00193

t(s) = - 2,69

4.- Comparing t(s) and t(c)  

|t(s) | > |t(c)|       2,69 > 1,753

Then t(s) is in the rejection region

5.- We reject H₀  . At 95 % of confidence Interval

(20 points)
What is the measure of ^1?
☁︎
A:230
☁︎
B:130
☁︎
C:125
☁︎
D:115

Answers

Step-by-step explanation:

I want to say B) 130 but not 100% sure. Sorry if my answer is wrong.

Cup G has a diameter of 4 in. and a height of 8 in. Find the volume of Cup G.

Answers

Answer:

32pi

Radius=1/2 Diameter

radius=2

Area of circle= pi*radius^2= 4pi

4pi*8=32 pi

v=(3.14)(2^2)(8)
(3.14)(32)
v=100.48

resulve las siguientes operaciones matematicas en tu cuadernk​

Answers

Dijo "Resuelva las siguientes operaciones matemáticas en su cuaderno", pero no indicó su cuaderno en la pregunta. Por favor arregle esto.

Help me help me help me pls pls pls

Answers

Answer:

x = 121

Step-by-step explanation:

all angles sum = 540

87 + 92 + 105 + 135 = 419

540 - 419 = 121

15% of 20 is ??? please helpp

Answers

Answer:

I believe it is 3

Step-by-step explanation:

Answer:

the answer is 3 brainlest plz

Step-by-step explanation:

Help please! 50 points! Troll answers WILL be reported

Answers

Answer:

Think its B. but if not it should be E.

Step-by-step explanation:

Click on the pic and pls help!!

Answers

Answer:

x = 43.9

Step-by-step explanation:

sin 20° = 15/x

0.3420 = 15/x

x = 43.86

solve using substitution
x^2 -4x+20=0

Answers

Answer:

Step-by-step explanation:

x^2 - 4x + 20 = 0

x^2 - 4x = -20

x^2 = 4x - 20

x = 2x - 4.47

-3x = -4.47

x = roughly 1.5

If a square has an area of 25x², write an expression for the length of one side.
:)

Answers

Since all sides of a square are the same, the area of a square is one side squared.

Meaning if a square had a side of 4, the area would be 16 since 4 squared is equal to 16.

The opposite is to square root the area. If you calculate the square root of 16, you get 4.

In this situation, we have to square root "[tex]25x^{2}[/tex]." We can split the area up into "25" and [tex]x^{2}[/tex]. The square root of 25 is 5, and the square root of x squared is just x. Multiply 5 and x together, you get 5x.

Easy as that, you get your answer!

5x

Solve
9+1/5b=3/10b
what is b

Answers

Answer:

b = 90

Step-by-step explanation:

Answer:

[tex] \huge\sf \colorbox{pink}{hey \: there}[/tex]

Step-by-step explanation:

[tex] \underline \red{given:- \: 9 \frac{1}{5b} = \frac{3}{10b} }[/tex]

[tex]b = 70[/tex]

A dinner plate has a diameter of 11 inches. What is the area?

Answers

Answer: Area of a circle= πr²

Data:

diameter=11 in

ratius=diameter/2=11 in/2=5.5 in

Area of this circular plate=π(5.5 in)²=30.25π in²=30.25 * 3.141592... in²≈

≈95.0 in².

answer :  c  95.0 in²

Tara and Mallory are practicing their passing at a volleyball practice. Tara bumps the ball from a height of 3 feet above the ground with an initial upward velocity of 12 feet/second. at the same time, mallory serves the ball from a height of 3.25 feet above the ground with an initial upward velocity of 9 feet/second.

if x represents the number of seconds since each ball is passed and y represents the height of the ball, which system of equations models the projectile motion of the two balls? recall that the acceleration due to gravity is -32 feet/second

Answers

Answer:

The system of equation that models the projectile of the two balls is option;

C. y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Step-by-step explanation:

The general equation for vertical (upward) motion under gravity is presented as follows;

h - h₀ = u·t + 1/2·g·t²

Where;

h = The final height reached

h₀ = The initial height

u = The initial velocity

g = The acceleration due to gravity ≈ -32 feet/second

t = The time taken

We can rewrite the above equation with different letters for the variables as follows;

h = y,

h₀ = y₀, and

t = x

Therefore, we have;

y - y₀ = u·x - 1/2 × 32 × x²

y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀

y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀

y = -16·x² + u·x + y₀

For Tara, we have;

u = 12 feet/second

y₀ = 3 feet

Therefore, we get;

y = -16·x² + 12·x + 3

For Mallory, we have;

u = 9 feet/second

y₀ = 3.25 feet

Therefore, we get;

y = -16·x² + 9·x + 3.25

The correct option is therefore;

y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

does anyone know the answer to this

17y -19 =219

Answers

the answer is y=8.46 i just did it

I need the scale factor of this please, its due today:)

Answers

Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!

Step-by-step explanation:

In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.
Round to the nearest hundredth.
i will give brainly

Answers

Answer:

Round to the nearest hundredth.

Answer:

160.57

Step-by-step explanation:

The formula is:

[tex]angle/360 *\pi *radius^2[/tex]

Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.

[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]

= [tex]160.57029...[/tex]

Rounded to the nearest hundredth this would be 160.57

What are the values of the function y= 3x - 4 for x = 0,1,2, and 3?

Answers

A. -4, -1, 2, and 5

DUE IN 3 mins
C-9 at C= 16

Answers

7.
If c = 16
that means the equation is
16 - 9
which is 7
so 7

Answer:

7

Step-by-step explanation:

plug 16 in for c so it's 16 -9 = 7

Rewrite the number in Standard form
6 x 10^8

Answers

Answer:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.

Answer:

600000000

Step-by-step explanation:

10^8=100000000

6×100000000=600000000

hope this helps

3+4-8+9-8+78+99-7999+8799+0×6997+90÷797883+677_5=

Answers

I lost my brain sorry
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