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

can somebody help quick

Answers

Answer:

1.5x + 14

Step-by-step explanation:

Answer:

3x+28

Step-by-step explanation:

Please help will give brainliest

Answers

Answer:

A) 18cm^2

Step-by-step explanation:

(3 x 12)/2=36/2=18

Answer:

A

Step-by-step explanation:

12x3=36/2=18

If you share 7 apples equally with 3 people then there are 2 1/3. Frost complete the sentence. Then , briefly explain what the whole number 2, the denominator 3, and the numerator 1 mean in this problem

Answers

Answer:

The whole number 2 is the number of whole apples each person gets.  The numerator 1 is the number of pieces of the remaining apple each person gets; the denominator 3 is the number of pieces the remaining apple is cut into.

Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?

Answers

Answer:

9

Step-by-step explanation:

14.4

-5.4

-------

9.0

The difference between the x-coordinate of point A and the x-coordinate of point B is -9

What is an equation?

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

Given the point B: (14,4) and Point A: (5,4).

The x coordinate of B is 14 while that of A is 5.

The difference between the x-coordinate of point A and the x-coordinate of point B = 5 - 14 = -9

Find out more on equation at: https://brainly.com/question/2972832

Determine whether the point (2, 0) is a solution to the system of equations. Explain
your reasoning in complete sentences.

Answers

Answer:

(2,0) IS NOT a solution to the system of equations because at that point the lines do not intersect. At (2,0) there's not even a line

Step-by-step explanation:

A particle travel 270km in 30 hours. Find speed of particle in km/hr

Answers

Answer: 9 km/hr

Step-by-step explanation:

270/30 or 270 ÷ 30

km/hr

Answer: 9

Step-by-step explanation:

Find two numbers that have a sum of -2 and a product of -48 (please show work if possible)​

Answers

Answer: -8 and 6

Step-by-step explanation:

factors of 48: 1,2,4,6,8,12,24,48

1 x 48

2 x 24

4 x 12

6 x 8

for a negative product, one of the factors must be negative and the other positive.

for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.

and then we check:

-8 x 6 = 48

-8 + 6 = -2

HELP NOW PLEASE!! what is the equation of a line through the origin and (-5, -5)

Answers

y = x is your answer ❤️.....

Answer:

y = 1x

Step-by-step explanation:

(0,0) (-5,-5)

y2 - y1 / x2 - x1

-5 - 0 / -5 - 0

- 5 / -5

1

y = 1x + b

-5 = 1(-5) + b

-5 = -5 + b

0 = b

-8x^3 - x^4 + 1/9 + x

Answers

PLEASE GIVE ME BRAINIEST IF I HELPED YOU!!! THANKS!! HAVE A GOOD DAY/NIGHT!!!

also......

X=5

The circumference of a circle is about 50 centimeters (cm). Which is closest to the length of its radius? You may use 3.14 for
Α.4 cm
B. 8 cm
C.16 cm
D.32 cm

Answers

Answer:

8 cm

Step-by-step explanation:

The formula of circumference is c= πd------(1)

where C = circumference, π = 3.14 and d = diameter

as we know that diameter is equal to d= 2r

put the diameter formula in eq(1)

we get c= π2r-------(2)

from eq (2) separate r means radius

hence, r= c/(π2)------(3)

put the values in eq(3)

and radius is equal to 8 cm.

Will give crown help

Answers

Answer:

First one is linear

2. Scattered

3. Leniar

4. Porabola

Step-by-step explanation:

Please help, I will give brainliest to whoever helps!

Answers

Answer:

Step-by-step explanation:

54.[tex]r=\sqrt{\frac{V}{πh} } =\sqrt{\frac{1256}{π100} } =2[/tex]\

55. H

56. A

find the sum of 3x,(1-6x),4x and x​

Answers

Answer:

2x+1

Step-by-step explanation:

S=3x+(1-6x)+4x+x​=3x-6x+4x+x+1=2x+1

The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g

Answers

I’m assuming you meant -2x^2 so It would be shifted to the left 3 it would be compressed from having 2 to 1.


can someone explain this?

Answers

Here is the formula

V= pi x radius (squared) x height

3.14 x 5 x 7 = 549.5

Regroup to express the number in a different way.

73,250 =7 ten thousands + 3 thousands + 2 hundreds + 5 tens

73,250 =7 ten thousands + 3 thousands + 1 hundred + * tens

Answers

Answer:

73,205

Step-by-step explanation:

HELP ASAP WILL MARK BRAINLIEST

Answers

Answer: 11

Step-by-step explanation:

Answer: 11

Hope it helps

a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?

Answers

2,688 muffins
192 (trays) x 14 (muffins in each tray) = 2688 (total muffins)

JUST HALP PWES PIC DOWN BELOW COJNHDHQ

Answers

Answer:

Quadrant 4 or (IV)

Step-by-step explanation:

c is in quadrant 4

Answer:

D

Step-by-step explanation:

a class sold tickets to their school play. each of the 23 students in the class sold 4 tickets. the cost of each ticket was 7 $ how much money did the class earn by selling tickets to the play

Answers

Answer:

$234

Step-by-step explanation:

because they did.....

Answer:

$644

Step-by-step explanation:

1: 23 students times 4 tickets sold each student is 92 tickets sold in total

2: 92 tickets times 7$ per ticket is $644

Hope this helps :P

Paul has 30 postcards. He has
4 times as many large postcards
as small postcards. How many
small postcards does he have?
How many large postcards?

Answers

Answer:

120

Step-by-step explanation:

is the right answer I think.

Answer:

Paul has 6 small post cards and 14 big postcards

Help!! Solve 1 1/4 + 5 5/6

Answers

Answer:

7 2/24

Step-by-step explanation:

We can start by making the denominators the same (the bottom number)

1 1/4+5 5/6

1 6/24+ 5 20/24=7 2/24

Answer:

so what you would want to do is get your fraction into improper fractions and to do that you multiply the whole number by the denominator and add it to your numerator, once you do that you get 5/4, and 35/6, now we want to get common denominators, so we multiply 5/4, by 6/6, and 35/6 by 4/4 which would get us 30/24 and 140/24 then we add them and get 170/24 and then simplify, which gets you 85/12 and then put it into a mixed number which is 7 1/12

Step-by-step explanation:

Please help! you'll get Brainliest if you do!

Answers

Answer:

b

Step-by-step explanation:

John is placing cement tiles for a patio in a rectangle surrounding a
rectangular fire pit. The fire pit has a width of x ft and a length that is 4
times the width. The entire patio is 9 ft wider and 13 ft longer than the fire
pit. What is the area that he will need to buy tiles for?

Answers

Answer:

31x + 55 sq. ft.

Step-by-step explanation:

Width of Fire Pit = x ft.  Length of Fire Pit = 4x ft.

Width of Patio = x + 5 ft. Length of Patio = 4x + 11 ft. Area of Fire pit = 4x * x = 4x² sq, ft.

Total Area of Rectangular Patio (including Fire pit)  = (4x + 11)(x+5)

= 4x² + 31x + 55 sq. ft.

Area for which tiling is done = Area of Rectangular patio - Area of fire pit

= 4x² + 31x + 55 - 4x²

= 31x + 55 sq. ft.

Fantasy 5 lottery game is picking 5 numbers from 1-41. If you match them all you win the jackpot. What is the probability you win the jackpot?

Answers

Answer:

1 / 89927760

Step-by-step explanation:

Recall :

Probability = required outcome / Total possible outcomes

To pick five number for a lottery from the range (1 - 41) ;

For this scenario, selection will be done without replacement

To win lottery , all 5 selections must be matched

P(1st pick) = 1 / 41

P(2nd pick) = 1 /40

P(3rd pick) = 1/39

P(4th pick) = 1/38

P(5th pick) = 1/37

(1/41 * 1/40 * 1/39 * 1/38 * 1/37) = 1 / 89927760

Hence, Probability of winning lottery = 1 / 89927760

What is the distance between the points (0,0) and (6,8)?

Answers

the distance between the 2 points is 10

Solve the equation

2.9=7.1 + y

Answers

Answer:

y=-4.2

Step-by-step explanation:

2.9=7.1+y

2.9-7.1=7.1-7.1 +y

-4.2=y or y= -4.2

y = -4.2

If you substitute that value for y into the equation, you'll get 2.9 = 7.1 + (-4.2)... and that is a correct, valid equation. HOPE THAT HELPS!

Simplify the following expression

Answers

Answer:

D

Step-by-step explanation:

i am sure 10000% and plz if it is correct can u give me beainlst

Use the graph to write a linear function that relates y to x
Y=

Answers

2 kkyykkylyllyllylykkykylykkkjjjkkl

Simplify; (³√729)³ + 24

Answers

Answer:

[tex](\sqrt[3]{729} )^{3}[/tex] + 24 can be simplified to 753.

Step-by-step explanation:

If you take the root of a number to a specific number, then square that by the same number you took the root by, then you will have the same number you started with. In this case, [tex]\sqrt[3]{729}[/tex] equals 9, and [tex]9^{3}[/tex] equals 729, so [tex](\sqrt[3]{729} )^{3}[/tex] equals 729. 729 + 24 = 753, so that is the simplified answer.

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