write the equation of the line given the two points. (4,-3) and (3,1)

Answers

Answer 1

Answer:

y=-4x+13

Step-by-step explanation:

y=mx+b

slope =

1--3/3-4

4/-1

-4/1

y-1=-4(x-3)

y-1=-4x+12

y=-4x+13

Answer 2

Answer:

[tex]y = -4x + 13[/tex]

Step-by-step explanation:

First, find the slope (denoted by the variable, m). Use the following equation:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]

Use the slope-intercept form. The slope-intercept form is:

[tex]y = mx + b[/tex]

Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:

[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]

Plug in the slope (m) and the y-intercept (b) to get your equation:

[tex]y = -4x + 13[/tex]

~


Related Questions

-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?

Answers

The answer for this is negative 4

h(8) = -2(8)^2 + 4(8)- 7

Answers

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

create an equivalent ratio to 20:24 by dividing both sides by 4

Answers

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6

Help please? I’ll give you 5 stars!

Answers

Answer:

no

Step-by-step explanation:

No since the divisor and dividend don't change by the same factor of 10.

Which equation represents the line that passes through the points (0, 3) and (2,6)

A y = -3/2x + 3

B y = 2/3x + 3

C y = 3/2x + 3

D y = 3/2x

Answers

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

All you need is on the photo


Please don't answer randomly if you answer randomly you are gonna lose points

Answers

Answer:

no since the ratios of the corresponding sides are not proportional

PLEASE ANSWER ASAP WORTH 10 PTS
Describe the graph of the line y = -5.
line with slope of -5
horizontal line
crosses the x-axis
vertical line

Answers

The answer is Vertical line

Find the slope of the line that passes through the pair of points (-17, – 8) and (0, – 5)

Answers

Answer:

-13/-17

Step-by-step explanation:

y1-y2/x1-x2=-13/-17

Used slope formula y2-y1/x2-x1
-5--8/0--17 =3/17

solve 2y - 18 = -26 for y

Answers

Answer:

y=-4

Step-by-step explanation:

2y-18=-26

    2y=-26+18

        =-8

      y=-8÷2

        =-4

help please?????????​

Answers

Answer:

A, to B, to D,

or A, to E, to C, to D

Step-by-step explanation:

rút gọn (x-4) (x-3) -x(x+5) +82

Answers

Answer:

-12x + 94

Step-by-step explanation:

Simplify:

[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x^2-5x+82[/tex]

[tex]=x^2-x^2-7x-5x+12+82[/tex]

[tex]=-7x-5x+12+82[/tex]

[tex]=-7x-5x+94[/tex]

[tex]=-12x+94[/tex]

Select all of the following that are ordered pairs of the given function.



ƒ(x) = 3 - 2x

(-2, -1)
(1, 0)
(2, -1)
(0, 3)
(-1, 5)

Answers

Answer:

(-2,-1)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Answer:Answer:

(-2,-1) (2,-1) (-1,5)

Step-by-step explanation:

f(x)=3 - 2x

y = 3 - 2x

if x = - 2

y =3 - 2(-2)

= -1

Required ordered pair is (-2,-1)

Step-by-step explanation:

y=−2x+7
y=5x−7

x=
y=

Answers

Answer:

x = 2

y = 3

Explanation:

PLZ HELP!!!!!!!!

Function 1 is defined by the equation y=-1/4r-5 Function 2 is defined by line p.shown on the following graph. Which function has a more negative slope?​
A. Function 1
B. Function 2
C. The functions have the same slope.

Answers

Answer:

Function 1

Step-by-step explanation:

I got it correct on khan academy

The function defined on the graph by the equation y = (-1/4)r -5 and line p has slope which is represented by option C. The functions have same slope.

Let the two coordinate on the line p of the function 2 on the graph.

( x₁ , y₁ ) = (-4, -6)

(x₂ , y₂ ) = ( 4 ,-8 )

Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value in the formula we get,

Slope of line p = ( -8 + 6 ) / ( 4 + 4 )

                         = -2/8

                        = -1/4

Slope of the function 1

y = -(1/4)r -5

When r = 8 ⇒ y = -7

r = -8 ⇒ y = -3

( x₁ , y₁ ) = (8, -7)

(x₂ , y₂ ) = ( -8 ,-3 )

Slope of the function 1  = ( -3 + 7 ) / ( -8  - 8 )

                         = 4/ -16

                        = -1/4

Therefore, slope of the both the function 1 and function 2 represented by line p are given by option C. the functions have same slope.

Learn more about slope here

brainly.com/question/3605446

#SPJ2

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

-3/2

Step-by-step explanation:

1) find the slope of (-9,-4), and (3,4)

4-(-4)=8, and 3-(-9)=12

the slope is 8/12 or 2/3 when simplified.

the PERPENDICULAR slope is the negative reciprocal of the slope, so

-3/2 is the answer.

PLEASE HELP QUESTION IN PICTURE
D and F are correct

Answers

Answer:

B

Step-by-step explanation:

First of all we know b is a parrellogram, so it is b.

But also other reasons:

It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.

There is a total of 36 books on the bookshelf. The number of hardback books is 15 more than twice the number of paperback books. How many hardback books are on the bookshelf?

Answers

The number of hardback books that are on the bookshelf is 29 books.

Let the total number of books be T.Let the number of hardback books be H.Let the number of paperback books be P.

Given the following data:

Total number of books = 36 books

To determine the number of hardback books that are on the bookshelf:

Translating the word problem into an algebraic expression, we have;

The total number of books is:

[tex]T = H+P[/tex]

The number of hardback books is 15 more than twice the number of paperback books:

[tex]H =2P+15[/tex]

Substituting the given parameters into the formula, we have;

[tex]36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}[/tex]

P = 7 books

For number of hardback books:

[tex]H =2P+15\\\\H=2(7)+15\\\\H=14+15[/tex]

H = 29 books

Read more on word problem here: https://brainly.com/question/24604067

Help me with this


-22*3 +12*2 -6*2 +4+2​

Answers

The answers is -48 if you need me to show my work or explain it to you just ask

[tex]\red{\bf{ {Answer = \: \: - 48}}} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-22 \times 3} + \underbrace {12 \times 2} - \underbrace {6\times 2} + 4 + 2[/tex]

We carry out the three multiplications.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-66 \: + \: 24} \: - \: 12 \: + \: \underbrace {4 \: + \: 2}[/tex]

Now we make the ones that are marked.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-42} \: \: - 12 \: \: + \underbrace {6} \: \: [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-36 \: \: \: - \: \: \: 12}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -48[/tex]

Felicia jumped 14 times every 28 minutes. At that rate, how many would she jump in 8 minutes?

Answers

She can jump 4 times in 8 minutes

Given the Data Points : (9, 72) (4, 32) (7, 56) What is the constant of variation?

Answers

The constant of variation of the data point is 8.

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

If two variables are proportional, they can be represented by:

y ∝ x

y = kx

k  is the constant of variation.

For the point (9, 72):

72 = 9k

k = 8

For the point (4, 32):

32 = 4k

k = 8

For the point (7, 56):

56 = 7k

k = 8

The constant of variation of the data point is 8.

Find out more about constant of variation at: https://brainly.com/question/25215474

Please solve this...I can;t do it do it

Answers

Answer:

Area = 867 meters

Step-by-step explanation:

You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.

Please help me on this it’s due tomorrow:(((

Answers

Answer:

Bro

Step-by-step explanation:

sorry

I cannot do each one. But I can go over how to do them. An explanation is more valuable than an answer

Think of slope as rise over run. How much does the line go up, every time it goes over. Simply find two points that are nice and even on the graph. Then count how much it goes up between these two point, and how much it goes over. Then write as rise over run. If the graph goes up to the right, then it’s positive. If it goes down to the right, then it’s negative

Y intercept is where the graph crosses the y axis. The intercept will be (0, y). It’s just the crossing point

I don’t know what the hell real world interpretation means. U will never use that again :)

For the equation, just put the last two things I went over together. I remember by saying y = move x plus begin. This stands for y=Mx+b
The move is the slope. Put in the fractional slope, which will be either positive or negative. Then write x. Then do the y intercept. Which is how far up or down on the y axis it starts.
For example. The equation for the first one is y=3x+6. It rises 6 for every time it goes over 12, which is simplified to 3/1. And it starts at y=6

Hope that helps. Sorry I won’t do each one

75+45+x/69=180
solve for x please :)

Answers

Answer: just add 75 and 45 + x and do division for 69 ok  but times the 45 with 69 ok good luck

Step-by-step explanation:

Can someone help me plsssssssssssss

Answers

Answer:

The lines will cross at (-5,1)

Step-by-step explanation:

I graphed it

why you copy my profile picture hello.....

If 58 out of 100 students in a school are boys. Write decimal expressions for the part of the school that consists of boys.

(Hint: 58 is what percentage of 100?)

Answers

Answer:

58 out of 100 is

58/100

as a decmil that is

0.58

Hope That Helps!!!

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y = 5/4x

Step-by-step explanation:

To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.

So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.

Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)

Answer:

Step-by-step explanation:

y = 15

x = 12

The y intercept is zero so the slope is simply

m = y /x

m = 15/12

m = 5/4

The equation is

y = 5/4

2

Which list below shows a way in which a 13-foot piece of pipe can be cut, to create 3 pieces that will form a triangle?

1 ft, 3 ft, 9 ft

3 ft, 3 ft, 7 ft

2 ft, 3 ft, 8 ft

2 ft, 5 ft, 6 ft

Answers

Answer:

2 5 and 6

Step-by-step explanation:

Any 2 sides have to add to more than the 3rd side.


1. Edna bought an RTW dress for Php575.00 at 20% discount. What was
the original price?

Answers

Answer:

i think original price Php656.25

Step-by-step explanation:

original price Php x

80%x = 575

x = 575×100/80

x = 656.25

original price Php656.25

Find the value of x in the solution of the system y = -4x + 48

Answers

Answer:

x = 12

Step-by-step explanation:

y= -4x+48

0=-4x+48

4x=48

x=12

Ryan equation for the perimeter

Answers

2x+16+20=60

2x+ 36=60

2x=60-36

2x=24

X= 24/2

X= 12
Other Questions
20 POINTS!! PLEASE HELP DUE NOWWW!Gia started to solve the equation 3(x 10) 5x = 2x 26 below. They want to move the variables to the left side of the equation for their next step. Fill in Line 4 and give the property.Line 1: 3(x 10) 5x = 2x 26 Original ProblemLine 2: 3x 30 5x = 2x 26 Distributive PropertyLine 3: -2x 30 = 2x 26 Collect Like TermsLine 4: _______________ _______________ Which of these describes a comedy instead of a tragedy?people experience many difficult situationspeople die or suffer some serious losscharacters try to solve a problem togetherproblems are solved happily in the end. Which reason for Allied victory is supported by the chart?fewer wounded soldiersgreater number of troopsdeadliest weaponstook more prisoners Very important question Apply the distributive property to create an equivalent expression.-9x(5j+k)PLEASE HELP THANK YOUU!! Lamar wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 11 feet. Suppose glass costs $5 for eachsquare foot. How much will the glass cost to replace the window?sax 5 ? Bots have answered this for the past two times but I still need help. The question is below. A recombinant plasmid molecule is introduced into a bacterial cell by A. recombination B. nuclear transplantation C. ligation D. transformation 2.5 x 10^3 times what number is equal to 5 x 10^6? 7. He ___________ housework after school at the moment.A. are doing B. does C. is doing D. will do Solve for x: 3x 8 = 13SHOW WORK Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week? What is the solution to this equation? 2 x + 3 = x 4 What happened after Israel declared its independence on May 14, 1948? when keisha installed a fence along the 200 feet perimeter of her rectangular back yard she left and opening for GATE in diagram below she used X to represent the length of the gate (I give brainliest) what does it mean when you hear ringing in your ear 7. The Moroccan monetary authority is using a heavily-managed float to keep the dirham at U.S. $0.12 per dirham. Under current foreign exchange market conditions, nonofficial supply and demand would clear at U.S. $0.15 per dirham.a. Using official intervention, what does the official Moroccan monetary authority have to do to keep the exchange rate at U.S. $0.12 per dirham?b. If the monetary authority believes that this is a temporary disequilibrium, what does the authority expect to happen soon?c. If private investors and speculators believe that this is a fundamental disequilibrium, what actions are they likely to take? In the middle of our sleep a burglar broke in our house. The volume of the triangular prism is 54 cubic units.What is the value of x?03O 5O 793xwhat is the answer Helen Keller was awarded honorary degrees from multiple universities. Until her death in 1968, she was admired around the world for her perseverance and strength. ""Helen's Story," hkelleronline. Org The source is a website with no known author and no page numbers. Add the correct internal citation at the end of the quote. "Until her death in 1968, she was admired around the world for her perseverance and strength". Help help help help help