Write the equation of the line passing through (-2, 1) and parallel to the line whose equation
is y = 2x + 1. Express the equation in point-slope form and slope-intercept form.

Answers

Answer 1

Answer: y=2x+1 (slope intercept form) & y-1=2(x+2) (point slope form)

Step-by-step explanation:

Parallel means the m value or slope are equal

Given those points and the slope you can begin to write the slope y intercept form

y=2x+B

Solve B or Y intercept x=0 and the Y value we get from the given points.

1=2*0+B

y=2x+1 (slope intercept form)

for point slope plug the points in this equation

y-y1=m(x1-x1)

y-1=2(x+2) (point slope form)


Related Questions

What is 919,827 rounded to the nearest hundred

Answers

Answer:

919,800

Step-by-step explanation:

To round up, the tens place would have to be either 5 or higher. Since the number in the tens place is 2, which is under 5, it will stay the same.

I need help on this question please factorise into brackets then solve for x

Answers

Answer:

x = 7

Step-by-step explanation:

The difference between the length and width is 3 , then length = x - 3

area (A) of rectangle = length × width

A = x(x - 3) = 28 , distribute parenthesis

x² - 3x = 28 ( subtract 28 from both sides )

x² - 3x - 28 = 0 ← in standard form

(x - 7)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

However, x > 0 , then x = 7

please help :,) it’s due tomorrow and i’m so confused

Answers

Answer:

I can't see the file or I can't open the file

Step-by-step explanation:

Where does -3/7 belong on the Venn diagram
A) integers
B) natural numbers
C)rational numbers
D) irrational numbers

Answers

Answer:

rational

Step-by-step explanation:

3. The graph of F(x), shown below,
resembles the graph of G(X)=x2, but
it has been changed somewhat.
Which of the following could be the
equation of F(x)?
1
16
FOX0 = ?
G00= x
5
Answer Choices:
F(X)=-X²+2
F(x)= 3x2 +2
F(x)=2x2 - 2
F(x) = (2x + 2)2

Answers

The number three is correct

The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.

What is a graph?

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

here, we have,

Given:

G(x) = x²,

As you can see from the graph, the vertex of the parabola is (0, 3),

Write the equation of a parabola as shown below,

y = a(x - 0)² + 3

y = ax² + 3

Here a is the slope of the parabola,

slope = 4 / 2  (from the graph),

slope = 2

Thus, the equation will be,

y = 2x² + 3 or  F(x) = 2x² + 3

To know more about Graph:

brainly.com/question/10712002

#SPJ7

Help help help help help help help help

Answers

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

17-10 is 7

18-11 is 7

this fits the eqation.

hope this helps you

Explain why the order in an ordered pair is important​

Answers

Step-by-step explanation:

An ordered pair is the x-coordinate and the y-coordinate of a point. The order is important because, without a set order, there would be no way to know which was the x and which was the y.

The x-coordinate always comes first, before the y-coordinate.

(x, y)

Step-by-step explanation:

The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.  

In an ordered pair, (x, y):

The first number, (x ) represents the first coordinate. It provides the location of the point relative to the horizontal axis of the coordinate plane.The second number, (y ) represents the second coordinate. It provides the location of the point relative to the vertical axis of the coordinate plane.

We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.

For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.  

Please see the attached screenshot where it shows how these two points have varying locations.  

Give the slope of each of the following lines Name a point on each line
y+2=2/3 (x-4)

Answers

Answer:

See answer below

Step-by-step explanation:

y + 2 = 2/3(x - 4)

y + 2 = 2/3x - 8/3

y = 2/3x - 8/3 - 2

y = 2/3x - 2 2/3 - 2

y = 2/3x - 4 2/3  or y = 2/3x - 14/3  

Slope = 2/3  

The value of the slope of the line is 2/3.

Used the concept of the equation that states,

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Given that;

The equation of the line,

y + 2 = 2/3 (x - 4)

Now comparing the given equation of the line with the equation of a line in point-slope form,

y + 2 = 2/3 (x - 4)

y - (- 2) = 2/3 (x - 4)

Therefore, the slope of the line is 2/3

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

what’s the correct answer i will give brainlist

Answers

The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7

Number of cards from previous card = 7

Number of cards per cardstock purchased = 10

Let :

Number of cardstocks purchased = x

Total Number cards made = y

The total number of cards made, y can be expressed thus :

(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards

This means :

y = 10x + 7

Therefore, the required equation is y = 10x + 7

Zooooo this pic
This pic

name the parts mentioned in the figure below

please answer this


Answers

Answer:

O - point

CD- chord

AB- diametre

I dont know PO sorry

Answer:

O is the center.

AB is the diameter.

OP is a radius.

CD is a tangent.

By the way the combination of letters is the two points that it relates too.

Step-by-step explanation:

hope this helps. . .<3

Which number line best shows how to solve −8 − (−6)?
PLEASE ANSWER!!!
(look a picture for more details)

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]-8-(-6)[/tex]

[tex]=-8-(-6)[/tex]

[tex]=-8+6[/tex]

[tex]=-2[/tex]

The answer is B.

Here's a graph photo!

Hopefully, this helps you!!

[tex]Sokka[/tex]

2 - 2x 4x + 12
------- = ---------
4 3

Answers

[tex]\tt\frac { 2 - 2 x } { 4 } = \frac { 4 x + 12 } { 3 }[/tex]

[tex]\tt3\left(2-2x\right)=4\left(4x+12\right) [/tex]

[tex]\tt6-6x=16x+48 [/tex]

[tex]\tt6-6x-16x=48 [/tex]

[tex]\tt6-22x=48 [/tex]

[tex]\tt-22x=42 [/tex]

[tex]\tt\:x=\frac{42}{-22} [/tex]

[tex]\boxed{\tt\:x = -\frac{21}{11} = -1\frac{10}{11} \approx -1.90}[/tex]

Method used :-

◇ ✖ Cross multiplication ❌

________

Hope it helps ⚜

Step-by-step explanation:

Given equation is [{(2-2x)/4} = {(4x+12)/3]

On applying cross multiplication then

Since, (a/b) = (c/d)

⇛ab = bc

Where, a = (2-2x), b = (4), c = (4x+12) and d = (3).

Now,

⇛3(2-2x) = 4(4x+12)

Multiply the number outside the bracket with numbers and variables in the bracket.

⇛6 - 6x = 16x + 48

Shift the variable value on LHS and constant on RHS.

⇛-6x - 16x = 48-6

Subtract the values on LHS and RHS.

⇛-22x = 42

Shift the value (-22) from LHS to RHS.

⇛x = 42/-22

Write the obtained answer in lowest form by cancelling method.

⇛x = (42÷2)/(-22÷2)

Therefore, x = 21/-11 = -(21/11)

Answer: Hence the value of x for the given problem is -21/11.

VERIFICATION:

If x = -21/11 then the equation is

[{(2-2x)/4} = {(4x+12)/3]

Substitute the value x = -21/11 in expression, then

⇛[{2-2(-21/11)}/4 = {4(-21/11)+12}/3]

Multiply (-2) from (-21) to get 42 on LHS.

⇛[{2(42/11)}/4 = {4(-21/11)+12}/3]

Again multiply 4 from (-21) to get 81 on RHS.

⇛[{2(42/11)}/4 = {(-81/11) + 12}/3]

Take the LCM of the denominator 1 and 11 is 11 on LHS

⇛[{(2*11 + 42*1)/11}/4 = {(-81*1 + 12*11)/11}/3]

Multiply the numerator on both LHS and RHS.

⇛[{(22+42)/11}/4 = {(-81 + 132)/11}/3]

Add the numerator numbers on both LHS and RHS

⇛[{(64/11)}/4 = [{(48/11)}/3]

Now, conver the division fraction in multiply fraction on both LHS and RHS.

⇛[{(64/11) * 4} = {(48/11) * 3}]

Now, write the numbers in Lower form by cancelling method, on both LHS and RHS.

⇛(16/11) = (16/11)

LHS = RHS

Please let me know if you have any other questions.

Function or non functional? Pls help ty :3

Answers

It would be a function as no two y values have the same x value

if(4x + 20) , (3x+10)^ and (2x+30)^ are angles of a triangle then the value

A) 13°

B) 13 1 3 ^

C) 13 2 3 ^

D) 14°​

Answers

Using angle sum property

[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]

[tex]\\ \sf\longmapsto 9x+60=180[/tex]

[tex]\\ \sf\longmapsto 9x=120[/tex]

[tex]\\ \sf\longmapsto x=13.2[/tex]

PLEASE HELP.
Directions: find x so that L || M. state the converse used

Answers

Answer:

  8. x=6; supplementary consecutive interior angles

  10. x = 4; no applicable theorem

Step-by-step explanation:

8.

The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.

  (7x -15) +(24x +9) = 180

  31x = 186

  x = 6

Consecutive interior angles being supplementary will make the lines parallel.

__

10.

The sum of the remote interior angles of a triangle is equal to the exterior angle:

  28x = 48 +16x

  12x = 48

  x = 4

The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.

_____

Additional comment

Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.

50 points! Help (Vectors)

Answers

[tex]2v - 3u\\\\=2<3,7> - 3<-5,4>\\\\=<6,14>-<-15,12>\\\\=<6+15, 14-12>\\\\=<21,2>[/tex]

Answer:

 

Step-by-step explanation:

can someone please help me get the answer for this!! PLEASE. I'll give u 45 points​

Answers

Answer:

8

Step-by-step explanation:

can you answer these fractions
[tex] \frac{2}{5} + \frac{3}{2} [/tex]

Answers

1 9/10 is the answer to this fraction

Which is the verbal expression for 11 - 2/n?


Answers

Answer:

(a.)

Step-by-step explanation:

(we talked abt it in the comment haah)

2
Select the correct answer.
Which statement is true about this equation?
-412p+5) + Bp=-11
A. The equation has one solution, p=2.
B. The equation has one solution, p=-2.
C. The equation has no solution.
D. The equation has infinitely many solutions.

Answers

Step-by-step explanation:

The equation has infinite solution p=2 that's tour variable

−3 ≤ n < 2
−2 < m < 4
n and m are integers.
Given that n = m, write down all the possible values of n.

Answers

_1,0,1 are possible value of n

I need help please I don't not understand this is getting on my nerves.
​I will give you all my point

Answers

Answer:

24,748

Step-by-step explanation:

538

x 46

3228

21520

24748

plz help me plz need your help plz help

Answers

Step-by-step explanation:

a+b^2 =a^2+b^2+2ab

-2ab and+2ab cut

write an equation of the line with a slope of -8 and a y-intercept of 2

Answers

Answer:

y = -8x + 2

Step-by-step explanation:

A slope-intercept form equation is y = mx + b where m is the slope and b is the y-intercept. Using this, we can plug in -8 and 2 to create our equation.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Zack buys some potatoes from a store. The potatoes cost $7.68 for 3 pounds. He wants to buy more vegetables, but at the same price per pound as the potatoes. Which of the following vegetables could Zack buy?

Answers

Answer:

23.04 i think pls mark brainliest

Step-by-step explanation:

PLEASE HELP!! REWARDING LOTS OF POINTS!

Answers

Step-by-step explanation:

check the attached file

In an auditorium,10,200 people were seated in 12 rows. Find number of people in each row. ____________

Answers

Answer:

850 people

Step-by-step explanation:

10,200 people in 12 rows

÷ 12 on both sides:

[tex]\frac{10200}{12}[/tex] people in [tex]\frac{12}{12}[/tex] rows

[tex]850[/tex] people in [tex]1[/tex] row.

an oven has a maximum temperature of 220°c.what will it be in 2 days time​

Answers

Answer:

Well I assume 220ºC.

Step-by-step explanation:

That is the MAXIMUM temperature of the oven

Caroline opens a savings account at her local
bank. She plans to put of her net paycheck
10
in her savings account every week. In June, her
paychecks are $164.69, $177.86, $187.74,
and $163.04. How much money did Caroline
put in her savings account in June?

Answers

Answer:

So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account

Step-by-step explanation:

A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.

Answers

Answer:

volume=300m3

length=5m

width=300cm=300/100=3m

To find: height of tank .

so,

volume=l×b×h

300=5×3×h

300/15=h

finally,h=20m

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