how to find standard form given 2 points

Answers

Answer 1

9514 1404 393

Answer:

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

Step-by-step explanation:

The standard form equation of a line is of the form ...

  ax +by = c

where a, b, c are mutually prime integers. The leading coefficient must be positive.

__

The standard form equation of a line can be found for the two points (x1, y1) and (x2, y2) using the formula ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

Using this equation, you must choose y2>y1. If y2=y1, you must choose x1>x2.

You will need to eliminate any fractions by multiplying the equation by an appropriate number. Once you have the numbers figured out, you need to factor out any common factors from the coefficients and the constant, so they are all mutually prime.


Related Questions

Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5

Answers

Answer:

a)

[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]

b)

[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]

c)

[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]

I hope I helped you^_^

Look at the two points on the number line. Each number graphed is the square root of a whole number that is not a perfect square. Write appropriate square root in each box. Explain how you found those answers.

Answers

Answer:

2.8 and 4.4

Step-by-step explanation:

The distance between tick marks is 0.25.

Since the first number is greater than 2.75, we can approximate is as 2.28.

The second number is less than 4.50, we can approximate it as 4.4.

Please help its line segments

Answers

Step-by-step explanation:

[tex]here \: c \: is \: the \: \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: togather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ thank \: you[/tex]

Answer:

x=13

Step-by-step explanation:

BC = CD

6x-16 = 4x+10

Subtract 4x from each side

6x-16-4x = 4x+10-4x

2x-16 = 10

Add 16 to each side

2x-16+16 = 10+26

2x = 26

Divide by 2

2x/2 =26/2

x = 13


20.
What is the distance from the point (3,8) to the
point (7,-6)?
a. 2V5 units
b. 2V 47 units
c. 2V 51 units
d. 2V53 units
e. 2V74 units

Answers

Answer:

the answer is d using the distance formula

Write 4 3/7 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 3.14

Answers

Answer:

4.43

Step-by-step explanation:

4 3/7

~Turn into an improper fraction

31/7

~Divide

4.42885714286...

~Round

4.43

Best of Luck!

what are 5 expressions that are equivalent to 12x4

Answers

Answer:

6 x 8

48 x 1

24 x 2

12 x 4

16 x 3

Are the 5 expressions equivalent to 12 x 4

express the trinomial (x+1)(3x+2)

Answers

Answer:

3x^2+5x+2

Step-by-step explanation:

(3x^2)+(2x)+(3x)+(2)

3x^2+5x+2.

Answer:

3x²+5x+2

Step-by-step explanation:

(x+1)(3x+2)

(3x²)+(2x)+(3x)+(2)  

3x²+5x+2.

Shirts are on sale at a price of $50 for 4. How many shirts can be purchased for $125?
A) 2 B) 8 C) 9 D) 10​

Answers

Answer:

10 shirts

Step-by-step explanation:

We can use a ratio to solve

50 dollars           125 dollars

-------------------- = -------------------

4 shirts                   x shirts

Using cross products

50 *x = 4 * 125

50x = 500

Divide each side by 50

50x/50 = 500/50

x = 10

Answer:

D. 10

Brainliest, please!

Step-by-step explanation:

50/4 = 125/x

25/2 = 125/x

25 = 250/x

x = 250/25

x = 10

Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find the area of the parallelogram.

Answers

Answer:

D(1,4) - the fourth vertex, the area is equal to 12

Step-by-step explanation:

A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)

xo= (xA+xc)/2    x0= (-2+4)/2=1

y0=(yA+yC)/2    y0= (1+3)/2=2

0(1,2)

O is the midpoint of BD, so let's find the vertex D

X0= (xB+xD)/2     1= (1+xD)/2   xD=1

y0= (yB+yD)/2      2= (0+yD)/2    yD=4

D(1,4)

the vector DA is (-2-1, 1-4)= (-3,-3)

the vector DC is (4-1, 3-4)= (3,-1)

The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)

The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)

cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5

sinD= sqrt (1- 1/5)=2/ sqrt5

S=3sqrt2*sqrt10*2/sqrt5= 12

Ahmad travelled 1/4 of a journey by Train X, 3/4 of the remainder by Train Y and the remaining 10km by Train Z. a) How far did Ahmad travel by Train Y? b) What was the total distance that Ahmad travelled?

Answers

Hey there! I'm happy to help!

Train X takes out 1/4 of our journey.

Now, we have 3/4 of the journey left.

Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!

3/4*3/4= 9/16

So, 9/16 of the total journey is done by Train Y.

A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.

So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.

3/16d=10

Divide both sides by 3/16.

d= 53 1/3

We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.

53 1/3 * 9/16= 30

So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.

Have a wonderful day and keep on learning! :D

8. 7.6 + (-7.1) = what does it equal plz help

Answers

Answer:

vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb

Step-by-step explanation:

can someone help me please??

Answers

Answer:

11,4 > 11 > 9,8 > 1

Step-by-step explanation:

To list the numbers from smallest to largest we need to determine the value of them in same/similar format

11 and 1 is in same format

The approximate value of [tex]\pi ^{2}[/tex] 9.8

the root of [tex]\sqrt{121}[/tex] = 11

the root of  [tex]\sqrt{130}[/tex] is = 11.4 approximately

Now we have them as real numbers we can evaluate

11,4 > 11 > 9,8 > 1 we don't need to write 11 twice but if needed we can write is as:

11,4 > 11 = 11 > 9,8 > 1

1 Reflection across the x-axis. R(-2,2)→R J(-1,4) ► J'_ G(3,4) →G​

Answers

Answer:

Play pes or fifa mobile or bgmi or see Jordaindians

Hey! I need help please!

Answers

Answer:

11.36

Step-by-step explanation:

because the total amount of gallons divided by 34.08 will get you 11.36

Answer:11.36

Step-by-step explanation:

please help only real answers please

Answers

Answer:

D. WV

Step-by-step explanation:

A ray has one endpoint and one arrow. It goes infinitely in one direction.

D is the one that is a ray; the endpoint is on the left, the arrow is on the right.

it confuses me when i have to fill in the in between i just dont quite understand how to work it out please explain it clearly

Answers

Make the unknown numerator be x and unkown denominotor be y

We have :  7 - [tex]\frac{x}{y}[/tex] = 6[tex]\frac{4}{5}[/tex]

            =>       [tex]\frac{x}{y}[/tex] = 7 - 6[tex]\frac{4}{5}[/tex]

                       [tex]\frac{x}{y}[/tex] = [tex]\frac{1}{5}[/tex]

So we need to fill in the box : [tex]\frac{1}{5}[/tex]

If the answer is helpful, Brainliest please!

Triangle ABC is s defined by the points A(2,3), B (3,4), and C(6,3). Find the perimeter of a triangle. Round to 2 decimal places if necessary. Please help me :(

Answers

Answer:

a

Step-by-step explanation:

ssdsdaaaaashjkkkllbhgdsfiii

What is the solution to this system of equations?

Please help!!

Answers

Answer:

(5,1)

If you use substitution it'll be very easy.

In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.

Final answer is (5,1).

The solution to the system of equations is x = 5, y = 1

The given system of equations is:

x + y = 6......(1)

x = y + 4......(2)

Substitute the equation x = y + 4 into the equation x + y = 6

y + 4 + y = 6

Collect like terms

y + y = 6 - 4

2y = 2

y = 2/2

y = 1

Substitute y = 1 into equation (2)

x = 1 + 4

x = 5

The solution to the system of equations is x = 5, y = 1

Learn more on simultaneous equation here:

https://brainly.com/question/16863577

is y = 4.3x proportional

Answers

Answer:

yupp y is always 4.3 times more than x

Step-by-step explanation:

Step-by-step explanation:

no its not proportional

answer from Gauth math

Anjali paid $8 for a salad. She now has
$37. With how much money did she start?

Answers

Answer:

Below.

Step-by-step explanation:

37+8= 45

45-8=37

so 45.

Answer:

45

Step-by-step explanation:

total money = amount spent plus amount remaining

total money = 8+37

total money = 45


Can someone please do this maze for me and show work?! Dm me and help me plsss

Answers

Answer:

See the attached

Step-by-step explanation:

Use midpoint formula to calculate x or y- coordinates.

A(x₁, y₁), B(x₂, y₂)M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Find the value of the expression 3m^2 + 2p^2 - 15 when m = 3 and p = 10
( 9th grade algebra 1 )

Answers

Answer:

212

Step-by-step explanation:

[tex]3( {3}^{3}) +2 ( {10}^{2} ) - 15[/tex]

[tex]3(9) + 2(100) + 15[/tex]

[tex]27 + 200 - 15[/tex]

[tex]212[/tex]

solve
[tex] {49}^{x} = {7}^{3} [/tex]
please help​

Answers

Answer:

hey answer is above

god bless you

Answer:

[tex]\displaystyle 1\frac{1}{2} = x[/tex]

Step-by-step explanation:

[tex]\displaystyle 7^3 = 49^x → 7^3 = 7^{2x} ⇉ 3 = 2x \\ \\ 1\frac{1}{2} = x[/tex]

I am joyous to assist you at any time.

8. Find the length of the segment indicated. Round to the nearest tenth if necessary.

Answers

Answer:

5

Step-by-step explanation:

x = 5 ( as the radius of the circle)

PLS HELP, FINAL EXAM QUESTION!!

Which of the following functions best represents the graph?

f(x) = (x − 2)(x − 3)(x + 2)
f(x) = (x + 2)(x + 3)(x + 12)
f(x) = (x + 2)(x + 3)(x − 2)
f(x) = (x − 2)(x − 3)(x − 12)

Answers

Answer:

C

Step-by-step explanation:

The roots of the function are - 3, - 2 and 2. The function will be (x+3)(x+2)(x-2)

The angles of a quadrilateral are in the ratio 1:2:3:4. The smallest and the largest angle are
urgent pls answer asap

thank you

Answers

Step-by-step explanation:

Let the angles of quadrilateral be

X, 2x, 3x, 4x

Sum of all angles of quadrilateral = 360

X+2x+3x+4x = 360

10x = 360

X = 360/10 = 36

Ans: the four angles are

X = 36

2x = 2 X 36 = 72

3x = 3 X 36 = 108

4x 4 X 36 = 144

What is the quotient of 5.67 x 107 and 2.7 x
104 expressed in scientific notation?

Answers

The answer is: 1.638063*10^3

Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?
The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1.
The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1.
The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1.
The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.

Answers

It should be noted that a statement that describes the graph of f(x) = -4x3 - 28x2 - 32x + 64 will be;

D. The graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.

What is a graph?

It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.

Given that;

The function is,

⇒ f(x) = - 4x³ - 28x² - 32x + 64

Now, We can draw the graph of the function,

We get;

The x-axis at x = -4 and crosses the x-axis at x = 1.

In this case, the statement that describes the graph of f(x) = -4x3 - 28x2 - 32x + 64 will be is that the graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.

Learn more about graphs on:

brainly.com/question/26013847

#SPJ5

Can someone give me the answer?

Answers

5 inches, should be the same I’m not sure good luck

Answer:

5 inches

Step-by-step explanation:

The distance from the center of a circle to any point on the circumference must be equal.

The outside temputure was -4 f in the morning and 13 f in the afternoon.by how much did the temputure increase

Answers

Answer:

17

Step-by-step explanation:

You need to add 4 degrees to get to 0.

You need to add 13 degrees to get to 13

The total = 4 + 13 = 17                      

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