What is the Equation of the line

What Is The Equation Of The Line

Answers

Answer 1

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


Related Questions

8th grade math, pls explain if you can.

Answers

Answer:

137.44 units^3

Step-by-step explanation:

For each value of u , determine whether it is a solution to 23=4u-1 .

Answers

Answer:

6

Step-by-step explanation:

Transposition

23+1=4u

24=4u

Divide both side by 4

u=6

how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches

Answers

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

Out of all of the topics covered so far in the course (whole numbers, fraction notation: multiplication, division, and mixed numerals), which did you enjoy the most? Which do you enjoy the least? Why?

Answers

Answer: I would say I've liked multiplication the most and division the least! I have always gotten multiplication because.. I don't really know. It's just easy for me. I can't really explain. For multiplication though.. I have never gotten it. It is the exact opposite. I've never understand how you have to skip a digit because you can't divide it to the other number.

Step-by-step explanation:

Hope this helps! This is my opinion.

I made this don't copy my answer

At art class, Mr. Gibson spends 5 minutes giving instructions, 35 minutes working on the project, and 15 minutes cleaning up. If class starts at 1:15 PM, what time will it end? PM​

Answers

Answer:

2:10 PM

Step-by-step explanation:

5+35+15=55 mins

1:15+55 mins=2:10PM

the answer you need is 2:10 pm. hope that helps

Solve for x if 26 = x/2

Answers

Answer:

x=52

Step-by-step explanation:

A city map is laid out on a coordinate grid with City Hall at the origin. Each unit on the grid represents a distance of one city block.

Max spends the day running errands and visiting the following locations before heading back to his apartment.

Location Coordinates
Post Office (–15, –4)
Library (–15, 16)
Police Station (–3, 16)
Bank (–3, 8)
Coffee Shop (4, 8)
Pet Store (4, –4)
Grocery Store (–8, –4)

Which of the following options has a distance of 12 city blocks? Select three that apply.

HURRY

Answers

Answer:its library to police station

Step-by-step explanation:

3^16 as a power of 1/9

Answers

Answer:

x = -9

Step-by-step explanation:

3^16 = (1/9)^x

9^18 = 9^-x

On comparing co-efficients :

-x = 9

x = -9

What is the slope of a line perpendicular to a line that contains the points (-8,-4) and (0,-8)

Answers

Answer:

I hope some of these help (examples)

Step-by-step explanation:

Line AB contains points A (1, 2) and B (−2, 6) The slope of line AB is

a)zero

b)undefined

c)positive

d)negative

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are

parallel because the product of the slopes is −1

perpendicular because the product of the slopes is −1

parallel because the slopes are the same

perpendicular because the slopes are the same

Question 2

(06.02 LC)

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

1 over 2

2

negative 1 over 2

−2

Question 3

(06.02 LC)

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

zero

undefined

positive

negative

Question 4

(06.02 MC)

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

y = 2x + 16

y = negative 1 over 2x + 17 over 2

y = − 1 over 2x + 7 over 2

y = 2x − 4

Question 5

(06.02 MC)

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

y = −2x + 13

y = negative 1 over 2x + 7

y = 1 over 2x + 3

y = − 2x − 3

On the first question, the formula would be  m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.

On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.

On the third question, use the slope formula above and the value you would get is zero, so A.

On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.

On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.

D,A,A,D,A

1) Determine the slope of the line that is perpendicular to the equation below.

y = -3x + 4

Type your answer as a reduced fraction, if necessary, like this: 3/4

2) Which line is parallel to the line with this equation?

3x – 4y = 24

A) 8y-6x=32

B) 3x-5y=25

C) y=-3/4x -6

D) y+3 = 3(x-4)

3) Determine which equation is in slope-intercept form for the line that passes through (5, 0) and is perpendicular to the line below.

y = -5/2x + 6

A) y=-2/5x - 2

B) y=5/2x+2

C) y=5/2x-2

D) y=2/5x-2

4) Line 1 contains the points (6, -5) and (2, 7). Which of the given pairs of coordinates could be contained by Line 2 if Line 1 is parallel to Line 2?

HINT: Remember that two parallel lines share NO points.

A) (2,7) and (11,10)

B) (6,-5) and (-1, 3)

C) (9,8) and (6, 9)

D) (5,6) and (9, -6)

5) What value should replace the "?" to make the equations parallel?

Type your answer as a reduced fraction, using the "/" symbol to separate the numerator and denominator, like this: 2/5

y=5/3 x - 8

y=? x + 9

6)Determine whether the pair of lines is parallel, perpendicular, or neither.

y = 7x and y – 28 = 7(x – 4)

A) parallel

B) perpendicular

C) Neither

1) m=-2

2) C) y=-3/4x -6

3) D) y=2/5x-2

I hope this helps:)

Write an emergency that could happen that would have a financial cost

Answers

Answer:

Your house burning down.

Step-by-step explanation:

You would have to pay to repair it.

Answer:

Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.

The building fire will make people lost their things and the building need to rebuild.

Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.

Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.

Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.

Blasting vehicle will make the things in the car lose. the car need to put the windows on again.

Terrorist attacks will lost lives more than lost money or other things.

Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.

That is all I can think of.

IS THIS IN SIMPLIST FORM? PLEASE HELP! TY!

2( x - 3 + 2 )

Answers

Answer:

2x - 2

Step-by-step explanation:

There are two steps to take here.  First add together the -3 + 2 in the brackets:

2(x - 3 + 2)

= 2(x - 1)

Now use the distributive property and multiply each term in the brackets by two:

2(x - 1)

= 2x - 2

And you now have it in simplest form.

um what do i do here

Answers

Answer:

you add and subtract

Step-by-step explanation:

You need to match the sum/difference with the expression

Example -

A. 5x+2x 15x+2y (B)

B. 7x+8x+2y. 7x (A)

That's how you match it

Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9

Answers

Answer:

I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)

Function Notation
If f(x) = -3x2 + 2x - 8, find each of the following:

f(-1)
f(0)
f(3)
f(1/3)

Answers

I checked all answers on Photomath.
Let me know if that’s helpful.

Simplify by combining Like terms: m + 9 - 4m

Answers

Answer:

9-3m

Step-by-step explanation:

m and -4m are like terms, combining them yields (1m-4m) which is -3m. The 9 is a constant.

please help!!!Its timed !!!!! Ill give out most brainly and extra points !!!

Answers

Answer:

D)x=4,y=7

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:

according to the question

[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]

[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]

[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]

[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]

[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]

Assume v is a vector in R^5. You wish to compute a vector w such that the th entry of w, denoted wi, is the sum of vi-1,vi, vi+1. For example wi is the sum of ,vo,v1 and v2. For elements at the endpoints of w, you will only account for two elements in your sum. For example wo, (assuming zero-based indexing) is the sum of vo and v1. Construct a matrix A such that Av=w.

Answers

Answer:

Use the drawing tools to form the correct answer on the graph.

Graph the line that represents this equation:

Step-by-step explanation:

John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?​

Answers

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

What is the volume of of a rectangular prism with the following measurements:

Length: 3 yd
Width: 1/2 yd
Length: 1/2 yd

A 3/4 yd cubed
B 2/3 yd. cubed
C 6/2 yd. cubed
D 6/8 yd. cubed

I will give brainleast

Answers

Answer:

b

Step-by-step explanation:

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]

The rate of change of y is proportional to y. When t=0, y=4, and when t=2, y=8. What is the value of y when t=3?

Answers

Answer:

When t = 3, y = 12.  y = 4t, for t>0

Step-by-step explanation:

8 = 4 x 2; y = 4 x 3 = 12.

Solve for a.
−10 = 1/5 a


Solve for n.
3(n – 8) = -12



Solve for x.
8 + 4x = -16






• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
part 1 of the word problem
Verbal Model:

part 2 of the word problem
Algebraic Equation:

please with all equations show your work.

Answers

Step-by-step explanation:

for the first one multiply the equation by 5

5(-10)=5(1/5)a

-50=a

2.  3(n-8)=-12

divide the equation by 3

(3(n-8))/3=-12/3

(n-8)=-4

add 8 to both sides

n-8+8=-4+8

n=4

3.   8+4x=-16

subtract the whole equation by 8

-8+4x=-16-8

4x=-24

divide the equation by 4

4x/4=-24/4

x=-6

4. 4 chicken sandwiches at $2.50 each, to find the value of all the values for all 4 sandwiches is 4(2.50)=10

and since there is only one hamburger you just need to find the value for the one burger which is x.

4(2.50)+1(x)=14.30

10+x=14.30

subtract the equation by 10

10-10+x=14.30-10

x=4.30

Hope this helps :)

Answer:

thanks Thankyou for points ty ty

PLEASE PLEASE PLEASEEEEE HELP!!!!!!!!!

Answers

Scale factor = 12/8 = 6/4 =3/2. So the scale factor is 3/2

Ratio of area= (scale factor)^2 : 1 = (3/2)^2 : 1 = 9/4 : 1

Ratio of volume = (scale factor)^3 : 1 = (3/2)^3 : 1 = 27/8 : 1

Can Someone please help me !!! ( you have to fill out the blanks )

Answers

Answer:

1. 5(a-6) = 5a-30

2. 2(3a-b) = 6a-2b

3. 5(-5x+3) = -25x+15

4. -(2c+3) = -2c-3

Both of their first step are correct (Show your calculations to explain)

x-9 = 5

x = 14

2x-18 = 10

2x = 28

x = 14

Step-by-step explanation:

All Above

If a pizza pie had
a diameter of 12
inches, what
would be its
circumference?

Answers

circumference = π x d
= π x 12
= 37.699
Rounded off is 37.70

Answer:

37.7 inches

Step-by-step explanation:

Formula of circumference:

[tex]2\pi r[/tex]

r = radius

In the current case,

radius is 6 inches

Hence,

circumference=

[tex]2*\pi *6\\= 12\pi\\= 37.6991118431[/tex]

≅ 37.7 inches

Feel free to mark it as brainliest

Find the length of the third side. If necessary,
round
to
the nearest tenth.
4
7

Answers

Answer:

The answer would be 8.1

Step-by-step explanation:

i need help with this ​

Answers

Answer:

20

Step-by-step explanation:

Hello There!

So first we need to determine what the formula for area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

the given information is the area and the two bases

so we plug in the given information and solve for h

[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]

divide each side by 9

[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]

we're left with

h=20

so we can conclude that the height is 20

Which statement best describes the function?
O A. The function is increasing when x < 0.
B. The function is decreasing when x > 0.
C. The function is never increasing.
D. The function is always increasing.

Answers

Answer:

D. The function is always ingcreasing

Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)

Answers

Answer:

A is the correct answer

Answer:

B

Step-by-step explanation:

The first number should represent the lawns, and the second should represent the money he makes on each lawn.

A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.

C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.

D is wrong because it is counting the price up by ten instead of adding 20.

B is right because every lawn is 20 more dollars, and that is what is shown.  

The regression equation below relates the scores students in an advanced statistics course received for homework completed and the subsequent midterm exam. Homework scores are based on assignments that preceded the exam. The maximum homework score a student could obtain was 500 and the maximum midterm score was 350. The regression line that was obtained is given by y= -84.4+ .91x If a student had a homework score of 420, the midterm score would be predicted to be:_______

Answers

Answer:

294

Step-by-step explanation:

Given the regression equation :

y= -84.4+ .91x

The value of the x axis is the independent variable which is the homework score ; the predicted variable is the mid term score, which is the values represented on the y - axis :

. Hence, For a student whose homework score, x = 420 ; the predicted mid term score will be :

y= -84.4+ .91(420)

y = - 84.4 + 378

y = 293.6

y = 294

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