Write the equation of the line that passes throught the points (-1, 6) and (5, -4).

Answers

Answer 1

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!


Related Questions

How do you find the value of x in the triangle?

Answers

To find the value of x in a triangle, you need to subtract the sum of the two angles from 180 degrees. Know that the sum of all the angles of a triangle will always equals 180 degrees. Then write down the difference of subtracting the sum of the two angles from 180 degrees and that would equal the value of x.

I hope this helped in some way, if it didn't, im so sorry.

Find the slope of the line y= -2/3x

Answers

The slope is -2/3.
_______________________________


Explanation:

y=mx+b

m= slope

-2/3=m

please help me ahhh im doing 8th grade math with pythagorean theorem pleasr help me on number 10

Answers

The answer is 6.3 see pic

Find the arithmetic and the geometric means of 5 and 125

Answers

Answer: The geometric mean of 125 and 5 is 25

Answer:

Arithmetic Mean: 65

Geometric Mean: 25

Step-by-step explanation:

Arithmetic Mean Formula: Sum / # of values

(5 + 125) / 2

130 / 2

65

Geometric Mean Formula: √Product of the values

√(5*125)

√625

25

EASY!!!!!! ILL MARK BRAINLIEST

Answers

Answer:

-2a (small 2) + 4a - 8

Step-by-step explanation:

Laney is making gift bags with pencils and candy bars.
The pencils come in packages of 12.
• The candy bars come in packages of 10.
• Each gift bag will have the same number of pencils.
• Each gift bag will have the same number of candy bars.
How many packages of each will Laney need to buy in order to have no candy bars or pencils left over?
O A. 12 packages of pencils, 6 packages of candy bars
OB. 5 packages of pencils, 10 packages of candy bars
O C. 6 packages of pencils, 5 packages
candy bars
O D. 5 packages of pencils, 6 packages of candy bars

Answers

Answer:

Choice D

Step-by-step explanation:

Choice A

12 x 12 = 144 pencils

6 x 10 = 60 candy bars

Choice B

5 x 12 = 60 pencils

10 x 10 = 100 candy bars

Choice C

6 x 12 = 72 pencils

5 x 10 = 50 candy bars

Choice D

5 x 12 = 60 pencils

6 x 10 = 60 candy bars

NEED ASAP
a board that is 3 yards long is to be cut into 4/5 equal-size pieces. how many whole pieces can be cut?

Answers

Answer:

Only 3 boards can be cut if they are whole

Hey, so I REALLY want to rank up and I just need 2 more "Brainliests" so if you like my answer, can you please give me a Brainliest? If not, that's okay! Thank you so much!

1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)

Answers

Answer:

6x*2-3x*2y

4p-18

Step-by-step explanation:

What is the measurement of Angle x?

Answers

Answer:

A. 95 degrees

Step-by-step explanation:

Both angles should add up to 180

85+_95_=180

Zena saves $5 for every $30 she earns. Which of these describes the rate at which Zena saves?
A $1 saved for every $5 earned
B. $1 saved for every $6 earned
C. $6 saved for every $5 earned
D. $0.60 saved for every $10 earned

Answers

Answer:

I think it is c because yah

Solve the system of equations.
14x + 5y = 31
2x – 3y = -29
2 =
y =

Answers

Answer:

X,y=83/52 ,45/26

Step-by-step explanation:

just  look up your answer and you will find the step by step. Hopefully this helped :)

An initial investment of 500 compounds continuously at 5% interest ratebe the number of years that the money has been on deposit. Assuming no other deposits are made to the accountwhat will the balance in the account be after years?

Answers

Wait I actually don’t know the answer to this sorry

I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)

Answers

Answer:12 out of 9 chances

Step-by-step explanation:

Answer: 9/24 or 3/8(simplified).

Step-by-step explanation:

Okay first let's break it down.

The spinner has a 1/4 chance of landing on blue.

The spinner has a 1/2 chance of landing on red.

The spinner has a 1/4 chance of landing on green.

The spinner has a 3/4 chance of landing on red or blue

The spinner has a 3/4 chance of landing on red or green.

The spinner has a 1/2 chance of landing on blue or green.

A 6-sided die has a 1/2 chance of landing on either even or odd.

The question first asks the probability of spinning a red or blue.

So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.

What is 73/48 simplified

Answers

Answer:

The Decimal form is: 1.52083 (and the 3 keeps going and going)

Is mixed number it is: 1 25/48.

Is x polynomial or not? If it is, state the type and degree of the polynomial.

Answers

Answer:

SORRY I DONT KNOW THE ANSWER

Step-by-step explanation:

simplify (2+3)squared-16 divided by 2

Answers

Answer:

it would be 4.5

Step-by-step explanation:

basic explantion

step 1.    3+2 =5

step 2     5x5=25

step 3      25-16=9

step 4       9 divde by 2= 4.5

simplifyed it would be  25-16 ÷ 2

more deatialed explanation.

I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5.  hope this helped!

X 2. Gi'shon needs to complete the expressions below to factor x2 + x - 56. 0/1 Which of the following must be true? * ( x1)x___)
F. Both expressions will include subtraction.
G. The sum of the values in the blanks should be 1. X Х
H. The product of the values in the blanks should be 56.
J. The values in the blanks will be the same number but opposite signs​

Answers

Answer: gggggg
g the sum of values are 1

Step-by-step explanation: 8-7=1

The factorized form of the expression is A = ( x - 7 ) ( x + 8 ) and sum of the values in the blanks should be 1

What is Factorizing?

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = x² + x - 56

On factorizing the equation , we get

A = x² + 8x - 7x - 56

8x - 7x = 1

So , A = ( x - 7 ) ( x + 8 )

Hence , the expression is A = ( x - 7 ) ( x + 8 )

To learn more about factorization click :

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PLS HELP DUE SOON ITS 4 PROBLEMS 50 POINTS

Answers

Answer:

3)

∠1 = 65°

∠2 = 65°

∠3 = 25°

XC = 6.5

BX = 6.5

AC = 13

DB = 13

AB = 5

BC = 12

2)

∠N = 142°

∠L = 142°

∠P = 38°

∠M + ∠N = 180°

4)

∠1 = 47°

∠2 = 90°

∠3 = 43°

PO = 12

OL = 12

ML = 13

DP = 13

5)

∠1 = 45°

∠2 = 45°

∠3 = 45°

∠4 = 90°

BC = 12

AB = 12

DC = 12

EB = 8.5

DB = 17

EC = 8.5

What is the equation of a circle with center (−3, 0) and radius 20?

Answers

Answer:

(x + 3)^2 + y^2 = 20^2

Step-by-step explanation:

If the center is (-3, 0), then the standard equation of a circle, (x - h)^2 + (y - k)^2 = r^2 becomes (x + 3)^2 + (y - 0)^2 = 20^2, or

(x + 3)^2 + y^2 = 20^2

6. Which equation expresses the relationship between x and y, as shown in the accompanying table?

Answers

Answer:

Husband and Ok kl long paragraph is 22nd up fpr and family at home too young for me as a nd ur behaving this way if this how u is is

Pete adds 78 to the data set below
20,32,32,45,50

Which statement below is true?

A. The mode will increase
B. The mean will decrease
C. The median will remain the same
D. The interquartile range will decrease

Answers

The correct answer is letter A

I will mark Brainliest just help meee

Answers

Answer:

h

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Function G

in the formula

y=mx+b

B is also a way to find the y intercept

in function G the y-intercept is 6

and in the graph the y-intercept is 4

6 is greater than 4 so

Function G is larger

Need help on the diagonal of the rectangular prism

Answers

Find the length of the rest of the rectangle on the bottom and then use pythagorean theorem to find the diagonal side of the triangle.


URGENT!!

A rectangular prism made of 1/4-inch cubes is shown.




What is the volume of the rectangular prism? Do not include units in your answer.

Answers

Answer:

1 1/2

Step-by-step explanation:

find the L W H and multiply it and divide by 1/4.

Hope this helps :)

The volume of the rectangular prism is 24 inches cube.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of cuboid = length × height × width.

The volume of the cube = side³.

Given the rectangular prism with a bunch of small cubes whose volume is 1/4 inches³.

Number of small cubes = 8 × 4 × 3 = 96

The volume of the complete prism = Volume of 1 cube × the Number of small cubes.

The volume of the complete prism = 1/4 × 96

The volume of the complete prism = 26 inch³.

Hence "The volume of the rectangular prism is 24 inches cube".

To learn more about volume,

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can someone help me

Answers

Answer:

The option that is down and right

Step-by-step explanation:

4x means there will be 4 of that variable which is x and the equal to is 24 which is at the bottom

What is the value of x in the equation One-third x minus two-thirds = negative 18?
–56
–52
52
56

Answers

Answer:

-52, I think

Step-by-step explanation:

-52 is the the value of x in this equation

How many solutions does this equation have?

6b = 3b + 3b

is there a solution

Answers

Answer:

Yes

The answer is 1

Step-by-step explanation:

A student is evaluating the expression below for n=3.7.12.8+6(n-0.5) in what order should the student do the steps?

Answers

Answer:

32

Step-by-step explanation:

The given expression is :

12.8+6(n-0.5)

We need to evaluate the expression for n = 3.7

Put n = 3.7 in the above expression.

12.8+6(3.7-0.5)

= 12.8+6(3.2)

= 12.8 + 19.2

= 32

So, the value of the given expression is equal to 32.

Enter the VOLUME in the box below ⬇️. (Please leave an explanation)

Answers

Answer:

V= 120 in cubed.

Step-by-step explanation:

the formula is L·H·W=Volume

the length is 10

height is 4

width is 3.

times all of those and the answer is 120.

Simply the following expression: 8x + 5y - 4z + 9y - 3x + 13z

Answers

Answer:

5x+14y+9z

Step-by-step explanation:

combine 8x and -3x to get 5x

combine 5y and 9y to get 13y

combine -4z and 13z to get 9z

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