Find the equation of the line that goes through ( 0, 2 ) and ( 3, 4 ).

Select one:

a.
2x + y - 3 = 0


b.
- 2x + 3y - 6 = 0


c.
x + y - 2 = 0


d.
2x + 3y + 6 = 0

Answers

Answer 1

Answer:

Option b.  -2x + 3y - 6 = 0

Step-by-step explanation:

Let's look for a linear equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

Calculate the slope first.  Slope is the Rise/Run of any two points on a straight line.   Using the given points, (0,2) and (3,4) we find:

  Rise = 4 - 2 = 2

  Run = 3 - 0 = 3

Slope, m, Rise/Run = (2/3)

The equation becomes y = (2/3)x + b

To find b, enter either of the two given points.  

y = (2/3)x + b

2 = (2/3)(0) + b  :  for point (0,2)

b = 2

The equation becomes:  y = (2/3)x + 2

Reformat this to match the format of the answer options.  

y = (2/3)x + 2    

3y = 2x + 6      [Multiplied by 3]

3y - 2x - 6 = 0

-2x + 3y - 6 = 0     [rearrange]

This matches option b.


Related Questions

Estimate number of jelly beans in 1 litre jar.​

Answers

Assume about 400 jelly beans fit in the jar.
Maybe 400, I’m not sure

can you find the proportion pwease :)

Answers

Answer:    15/10

Step-by-step explanation:

Answer:

15 cookies and 10 brownies

Step-by-step explanation:

HELP DUE IN 15 MINS!

In rhombus ABCD, m∠CDE = 50°, DB = 12 ft, and AC = 16 ft

1. m∠CEB =?? degrees

2. m∠BCE =?? degrees

3. m∠ADE =?? degrees

4. ° DE =?? degrees

5. CB =?? degrees

Answers

Answer:

1.) m∠CEB = 90 degrees => The intersection is perpendicular

2.) m∠BCE = 40 degrees => 180 - (50 + 90)

3.) m∠ADE = 50 degrees => 180 - (40 + 90)

4.) DE = 6 ft => half of DB: 12/2

5.) CB = 10 ft => Using Pythagorean Theorem, solve:

                     =>  8² + 6² = CB²

                     =>  64 + 36 = CB²

                     =>  100 = CB²

                      => [tex]\sqrt{100}[/tex] = CB

                      => 10 = CB

Hope this helps!

Answer:

Step-by-step explanation:

I'm just adding the answer to 3. Give the other answerer the Brainliest.

Given a Rhombus, The diagonals bisect the angle that the diagonal is connect to

Therefore <ADE = 50 degrees, same as <CDE.

Write a STORY PROBLEM for the following equation: 4x+(-3)=-11

Answers

Answer:

X = - 2

John had solve the equation 4x+(-3)=-11, he said's his answer is x = 2.

Is he wrong or correct? If wrong plz show the steps on how to get the right answer.

Step-by-step explanation:

4x+(-3)= -11

-11 + 3

= -8

We got x by itself

now solve for x

4x = -8

Solution

X = -2

Alonzo went to a baseball game. The game started at 10:50 AM, and it was 3 hours 27 minutes long. When did the game end? PLEASE ANSWER IT I NEED IT

Answers

the answer is 2:17pm

Answer:

The game ends at 2:17 PM.

Step-by-step explanation:

The basketball game started at 10 hours and 50 minutes and the game lasted 3 hours and 27 minutes. We can use addition to find out the time. Simply add the hours and the minutes.

10 hours + 3 hours = 13 hours

50 minutes + 27 minutes = 77 minutes = 1 hour and 17 minutes

⇒ 14 hours and 17 minutes ⇒ 2:17 PM

Two groups of students were asked how far they lived from their school. The table shows the distances in miles: Group A (distance in miles) 1 1.5 8 9.2 6.8 4.5 4.8 2.5 0.76 Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8 Which statement best compares the mean distances for the two groups

Answers

Mean distance for group A = 6.01 miles and for group B = 2.17 miles.

What is mean value?

In statistics, the mean is the average of all data values given in a data set.

Mean is calculated by adding all the data value and then divided the sum by the total amount of data.

How to calculate the mean distance?

distance in miles for Group A       distance in miles for group B

         11.5                                                  2

          8                                                  

                                                                2.5

         9.2                                                3.23

         6.8                                                 1.3

          4.5                                                1.8

          4.8                                                2.4

         2.5                                                 3

         0.76                                               1.5

                                                                1.8

now mean value for group A = sum of data value/ number of data value

  mean distance = (11.5 + 8 +9.2 +6.8 +4.5+ 4.8+2.5+0.76) / 8

  mean distance for group A = 6.01 miles

mean distance for group B = (2+2.5+3.23+1.3+1.8+2.4+3+1.5+1.8)/ 9

 mean distance = 2.17 miles

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The rectangular floor of a classroom is 36 feet in length and 27 feet in width.A scale drawing of the floor has a length of 12 inches.What is the area, in square inches, of the floor in the scale drawing?

Answers

The area of the scale drawing is 108 square inches.

I know this because I divided 36 by 13 to get 3. Then I took 27/3 and got 9. So I knew that the scale drawing was 9 by 12 and so then I just multiplied 9 by 12 and got 108

WILL GIVE BRAINLIEST TO CORRECT ANSWER
What graph shows the line of best fit?

Answers

Answer:

Graph C (third one down)

Step-by-step explanation:

The line of Graph C is going through closest to the middle, taking all points into account.

5) Samantha uses 14 gallons of gas for every 110 miles she drives. How
many gallons does she use if she drives 215 miles?

Answers

27 and 13/33 gallons

The first rule is add 4 starting from 2. The second rule is subtract 4 starting from 28. What is the second ordered pair using the terms in each sequence? A (2, 28) B(6, 24) C (14, 16) D (10, 20)

Answers

The second ordered pair using the terms in each sequence is B (6, 24).

THE SEQUENCE PAIR

The first rule says to add 4 to the first term of the ordered pair, starting from 2. So the first term of the second ordered pair would be 2+4 = 6.

The second rule says to subtract 4 from the second term of the ordered pair, starting from 28. So the second term of the second ordered pair would be 28-4 = 24.

Therefore, the second ordered pair using the terms in each sequence is B (6, 24).

The third ordered pair using the terms in each sequence would be C (14,16) and the fourth ordered pair would be D (10,20)

This is because:

C (14,16) can be obtained by adding 4 to first term of B(6,24) which is 6+4 = 10 and subtracting 4 from second term of B(6,24) which is 24-4=20.

D (10,20) can be obtained by adding 4 to first term of C(14,16) which is 14+4 = 18 and subtracting 4 from second term of C(14,16) which is 16-4=12.

So the sequence list of ordered pair would be:

First order: A (2,28)

Second order: B(6,24)

Third order: C (14,16) D (10,20)

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Please find the perimeter of this irregular shape

Answers

Answer:

30

Step-by-step explanation:

PLS HELP I HAVE NO IDEA
Complete the remainder of the table for the given function
y=x/2 + 5

Answers

Answer:

Step-by-step explanation:

(-2,4)

(0,5)

(2,6)

(4,7)

Answer: 4, 5, 6, 7,

Step-by-step explanation: From the formula   y = x / 2 + 5

substitute x with the value -2

It becomes -2 / 2 + 5

that equals 4

then do the same for the rest

when x = 0

y = 0 / 2 + 5

y = 5

when x = 2

y = 2 / 2 + 5

y = 1 + 5

y = 6

when x = 4

y = 4 / 2 + 5

y = 2 + 5

y = 7

I hope this was helpful

What is the Pythagorean triplet of 12 and 16?

Answers

"20" is the Pythagorean triplet of 12 and 16.

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a,b, and c such that a right triangle exists with legs a,b, and hypotenuse c.

By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying  a²+b²=c²

The simplest Pythagorean triple is the set “3,4,5.”

Now, substitute the values in the above equation:

=) x² = 12² + 16²

=) x² = 144 + 256

=) x² = 400

=) x = √(400)

=) x = 20.

Therefore, (12,16,20) is a Pythagorean triplet.

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Find what’s missing exponent.
32=2?

Answers

Answer:

1/5

Step-by-step explanation:

32^1/5 = 2

Answer:

5

Step-by-step explanation:

2x2x2x2x2 = 2⁵ = 32

Hope this helps :)

pls help me, i need to get my grade up as soon as I can

Answers

Answer:

106 and 93

Step-by-step explanation:

The whole thing has to add up to 360

The red line on this graph is y=-2x-1
The dotted line is y=x.
Write the equation of the inverse of this function

Answers

Answer:

Step-by-step explanation:

Find the quartiles and interquartile range of the following data. 6, 15, 8, 13, 3, 18, 0, 5, 5, 12

Answers

Answer:

Q1 - 5

Q3 - 12.75

Interquartile Range = 7.75

(i think)

Step-by-step explanation:

5x/2 +2/3 plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

i think it’s 5x over 6

Answer:

Solutions given:

[tex] \frac{5x}{2} + \frac{2}{3} [/tex]

Taking L.C.M

[tex] \frac{15x + 4}{6} [/tex] is a right answer.

Two piecewise functions are shown below. What is the value of 3h(2) + 4g(1)?

Answers

Answer: In order to calculate the value of 3h(2) + 4g(1), we would need to know the specific functions h(x) and g(x) that you are referring to. Without more information, it is not possible to determine the value of the expression.

Typically, piecewise functions are defined by several different expressions, each defined over a different interval of the input variable x. To evaluate a piecewise function at a specific value of x, we must first determine which interval that value of x falls into, and then use the corresponding expression for that interval to find the output value.

Are you able to provide the piecewise functions, or are you just using them as an example?

Also, in case if you want to describe the functions in words, please let me know.

Step-by-step explanation:

some one plz help me and no scam links plz and if u do i will report and just no scam links :( look at the pic for the work

Answers

Answer:

LOOK BELOW: USE FORMULA WHL WIDTH X HEIGHT X LENGTH

Step-by-step explanation:

4 IN, 3IN, 6IN =72 IN CUBED

6IN, 3IN, 2IN= 36 IN CUBED

4IN, 5IN, 4IN= 80 IN CUBED

2IN, 9IN, 3IN= 54 IN CUBED

Michelle has four white socks two black socks and two gray socks in her drawer she pulled that one sock on the drawer without looking she's not put it back then Michelle Pulls a second Sock from the drawer .what is the probability that Michelle pulls two white socks from the drawer a.3/14 b. 3/16 c. 1/16 d. 1/2

Answers

Answer:

3/14

Step-by-step explanation:

prob for the 1st sock=4/8=1/2

prob for the 2nd sock=3/7(there's 7 socks left now and only 3 were white since she pulled one out and didn't put it back)

so the prob of both being white is 1/2*3/7=3/14

Find the break - even points for company X, which sells all it produces, if the variable cost per unit is $3, fixed costs are $2 and YT R = 5√q, where q is the number of thousands of units of output produced.

Answers

Given:

The variable cost per unit is $3, fixed costs are $2.

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

where q is the number of thousands of units of output produced.

To find:

The break - even points for company X.

Solution:

The variable cost per unit is $3, fixed costs are $2.

So, the cost function is:

Total cost = Fixed cost + Variable cost × Quantity

[tex]Y_{TC}=2+3q[/tex]

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

At break - even points the profit is zero. It means the cost and revenue are equal.

[tex]Y_{TC}=Y_{TR}[/tex]

[tex]2+3q=5\sqrt{q}[/tex]

Squaring both sides, we get

[tex](2+3q)^2=(5\sqrt{q})^2[/tex]

[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]

[tex]4+12q+9q^2-25q=0[/tex]

[tex]4-13q+9q^2=0[/tex]

Splitting the middle term, we get

[tex]4-4q-9q+9q^2=0[/tex]

[tex]4(1-q)-9q(1+q)=0[/tex]

[tex](4-9q)(1-q)=0[/tex]

Using zero product property, we get

[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]

[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]

[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]

Therefore, the break even points are 0.444 and 1.

will mark u brainliest

Answers

Answer:

( - 7, - 1, 1, 4 )

Step-by-step explanation:

( x, y )

where,

x is Domain

y is Range

Hence,

Domain is ( - 7, - 1, 1, 4 )

You need to split it in half then multply then add

Answers

Answer: 322in 2

Step-by-step explanation:

1. Cut it in half

2. 8*21=168 (first half)

3. 11*14=154 (second piece)

4. Add 168 and 154, equals to 322in 2

Round your answer to the nearest hundredth.
?
B
С
50°
7

Answers

9514 1404 393

Answer:

  BC ≈ 5.87

Step-by-step explanation:

The law of sines is applicable.

  a/sin(A) = 7/sin(50°)

Angle A is the complement of angle B, so we have ...

  a = 7(sin(40°)/sin(50°))

  a ≈ 5.8736974

The length of BC is about 5.87 units.

i’ll give brainliest please help

Answers

Answer:

m=4

Step-by-step explanation:

Answer:

m= 4

Step-by-step explanation:

i hope this helps :)

Please answer fast! this is my first question so I think I'm giving 10 points? I'm not sure how it works-

if the producer in a food chain has 1000 kcal of energy available, how much energy would each of the consumers have?

Answers

Answer:

100kcal

10kcal

1kcal

Step-by-step explanation:

Each level you go up, you only get 10% of the total energy

Has a slope of 2/3 and passes through the point (-12, 3) in y intercept form

Answers

I think it’s

y=2/3+21


Sorry if wrong

What is the formula for directed line segment?

Answers

The formula for a directed line segment is A = (x2 - x1, y2 - y1). It is a vector equation, meaning that it describes the direction and magnitude of a line segment, rather than its endpoint coordinates.  

A directed line segment is a line segment with a starting point and an ending point, where the direction of the line can be described in terms of its magnitude and direction. To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points, and then calculate the difference between the y-coordinates of the start and end points. The result is the vector A, which describes the magnitude and direction of the line segment.

For example, consider a line segment with start point (1, 2) and end point (4, 6). To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points (4 - 1 = 3). Then, calculate the difference between the y-coordinates of the start and end points (6 - 2 = 4). The result is the vector A = (3, 4). This vector describes the magnitude and direction of the line segment, with the magnitude being the length of the line segment, and the direction being the direction from the start point to the end point.

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what is the answer to 4^43

Answers

Answer:

7.737

Step-by-step explanation:

7.737 should be your answer
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