A line passes through (3, 7) and (6, 9). Which equation best represents the line? (4 points) y = 3 over 2 x + 5 y = 2 over 3 x + 5 y = 3x + 2 y = 2 over 3 x + 2

Answers

Answer 1

Given two points, the equation of the line may be determined by,

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

Substituting the given values,

y - 7 = ((9 - 7) / (6 - 3))(x - 3)

Simplification will yield to an answer of,

y = 2x/3 +5

Therefore, the answer is the second choice.


Related Questions

A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,540 from popcorn sales and $1,330 from nacho sales. If on the next night the employees sell $1,672 of popcorn, how much is earned from nachos?

Answers

Using proportions, it is found that $1,225 is earned from nachos.

This question is solved by proportions, using a rule of three.The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?

The rule of three is:

$1,540 - $1,330

$1,672 - $x

Applying line multiplication:

[tex]1672x = 1540 \times 1330[/tex]

[tex]x = \frac{1540 \times 1330}{1672}[/tex]

[tex]x = 1225[/tex]

$1,225 is earned from nachos.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each
spinner is spun once.
What is the sample space of outcomes?

Answers

Answer:

3rd option

Step-by-step explanation:

The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

What is sample space?

Sample space is the set of all the possible values or the outcomes of an event.

Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

In the given problem,

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.

The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.

Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

Learn more about the sample space here;

https://brainly.com/question/11666439

#SPJ2

Which pair of triangles must be similar?



Triangle 5 has a 30∘ angle and a 90∘ angle. Triangle 6 has a 30∘ angle and a 70∘ angle.

Triangles 1 and 2 each have a 35∘ angle.

Triangle 7 has a 50∘ angle and a 25∘ angle. Triangle 8 has a 50∘ angle and a 105∘ angle.

Triangles 3 and 4 are both isosceles. They each have a 40∘ angle.

Answers

triangle 3 and 4 are similar

If a die is thrown, the probability of getting even number is
a)1/2 b)1/6 c)1/3 d) 2/3

Answers

Answer:

A 1/2

Step-by-step explanation:

Its a half chance since theres 6 sides so 1/2:)

Sample space of a throwing of a die - {1, 2, 3, 4, 5, 6}Number of trial = 6Numbers which are even = 2, 4, 6Number of number which are even = 3Therefore, probability of getting an even number [tex] = \frac{3}{6} = \frac{1}{2} [/tex]

Answer:

[tex]b) \frac{1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Don’t understand this math question

Answers

Answer: the answer is 5^6

Step-by-step explanation:

When you are multiplying exponents with the same base you add the exponents so 3+3=6

HeLpPPpppPpPppPpppPpPPp​

Answers

D is the answer, it’s the farthest North on the map shown.

What is the constant of this polynomial? 3x9 + 4x + 129​

Answers

Answer:

  129

Step-by-step explanation:

When referring to the constant in a polynomial, we're generally referring to the term that has no variables in it. Here, that term is 129.

The constant is 129.

Students who
ride the bus
65% of the 800 students at North High School ride the
bus. How many students ride the bus?
0 65
?
100 multiplied by
is equal to 800
H
65 multiplied by
vis equal to
0 100
800
out of
students ride the bus.
All
students

Answers

Answer:
520 :)

Reason:
65%-> .65
.65 x 800=
520

i will mark brainlist !!!!!!!!

Answers

Answer:

f(n)=4*2^(n-1)

f(n)=a*b^n -> 2 is the multiplier for the outputs, so b=2. 4 is the output when n=1 (all answers are to the power of n-1), so a=4

PLEASEE HELP !!! 30 POINTSSS
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work

Answers

Answer:

30-60-90 is a special right triangle

if the side opposite to the 30 degree angle = x,

then the side opposite to the 90 degree angle = 2x

and the side opposite to the 60 degree angle = x*sqr3

2x=14

x=7

side BC is opposite to the 30 degree angle, so it is 7 cm

side AB is opposite to the 60 degree angle, so it is 7sqr3 cm

Answer:

clearer pic?

Step-by-step explanation:

A plumber charges $8.00 per hour for her work, plus a $27 materials fee. If you pay her $107.00, for how many hours did the plumber work?

Answers

Answer:

10 hours

Step-by-step explanation:

Amount paid= material fee + ($8)(number of hours worked)

Let the number of hours the plumber worked be t.

$107= $27 +$8t

107 -27= 8t

80= 8t

8t= 80

Divide both sides by 8:

t= 80 ÷8

t= 10

Thus, the plumber worked for 10 hours.

Morgan bought candy for $.95, an eraser for $.15, and 2 pencils for $.40 each. (a) how much did the pencils cost? (b) how much did she spend in all? (c) how much change did she get from $5.00

Answers

Answer:

Step-by-step explanation:

A

1 pencil costs 0.40 dollars.

1 pencils cost 2 times 0.40 = .80 dollars

B

Candy     0.95

eraser     0.15

2 pencils 0.80

Total        1.90                                          Add  

C

She started with   5.00 dollars

She spent             1.90 dollars               Subtract

Here change was  3.10 dollars.

Determine if the point (-2,2) a solution to the inequality y<3x+2.

Yes, it's a solution
or
No, it's not a solution

Answers

Answer:

No, it's not a solution

Step-by-step explanation:

Solve by plugging in the values x=-2 and y=2 that are from your point (-2,2):

y<3x+2    

2<3(-2)+2          

2<-4 This inequality is false, so no, it's not a solution

Answer:

not a solution

Step-by-step explanation:

y<3x+2

2<3(-2)+2..........plug in values

2<-6+2................multiply

2<-4......................add

2<-4 is false

Question 3 of 10
Which symbol would best replace the question marks below?
17? 33 ? 59 ? 63 ? 87? 92
A. =
B. <
C. >
SUBMIT

Answers

Answer:

B. <

Step-by-step explanation:

Each number in the sequence is greater than the previous number so the correct answer is b. <

Megan draws three different diagrams to represent the sample space of flipping a coin and rolling a 6-sided die.

Drag a sample space into the row that fits the description and represents Megan's experiment.

Answers

Answer:

The explanation is given below.

Step-by-step explanation:

Given:

Two events take place.

Let event A be flipping a coin

Let event B be rolling a 6-sided die.

Now, a coin has two faces; one is head and the other is tail.

So, the possible outcomes of event A are: {H, T}

H → Head, T → Tail.

Now, a six sided die has six faces each marked with a number. The numbers marked ranges from 1 to 6.

So, the possible outcomes of event B are {1, 2, 3, 4, 5, 6}

Now, each element of set A should match with all the elements of set B.

Now, tabular form should have a row of outcomes of B and a coum of outcomes of event A. Thus,

Outcomes          1          2       3        4         5          6  

   H                 H1         H2     H3     H4       H5      H6

   T                 T1         T2     T3        T4      T5         T6

Therefore, the organised list has the following outcomes:

H1                 T1        

H2                T2

H3                T3

H4                T4

H5                T5

H6                T6

Finally, the correct tree diagram is attached below.

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

5. Name a pair of supplementary angles.

6.Name a pair of vertical angles

7.Name a pair of adjacent angles

(Please answer if u can!)

Answers

Answer:

5. Angles FGE and CGE are supplementary

6. Angles FGE and BGC are vertical

7. Angles FGE and GED are adjacent

Step-by-step explanation:

Problem 5

Answer: Angle EGF and angle FGB

Explanation:

The straight line EGB can be decomposed into the angle pieces of angle EGF and angle FGB. Another way we can break this straight angle down is to break it into angle EGA and angle AGB. Whichever route you go for, the smaller angles add back to 180 degrees. There are other possible answers you could go for. Check out the diagram below for a visual of these angles (shown in red)

========================================================

Problem 6

Answer: Angle AGB and angle EGD

Explanation:

Focus on lines AD and EB. They intersect at point G. The two lines form the opposite angles AGD and EGD which are considered vertical angles. Whenever we have an X shape like this, we'll have vertical angles in the opposite positions like this. Vertical angles are always congruent. There are other pairs of vertical angles shown in this diagram. Check out the diagram below for a visual of these angles (shown in blue)

========================================================

Problem 7

Answer: Angle BGC and Angle CGD

Explanation:

The angles BGC and CGD are right next to each other, so we consider them adjacent. They share the common ray GC. Think of it like two neighbors sharing a common wall in an apartment building. There are other possible answers you could go with as long as the two angles share a common ray or line, and also share a common vertex as well. Check out the diagram below for a visual of these angles (shown in green)

Use the drawing tools to form the correct answer on the graph.
Graph this function.
f(x) = (1/3)x + 8

Answers

Answer:

The answer is simple. Just graph like you would any normal graph

Step-by-step explanation:

equation where slope = 7/2 and y-intercept is -15

Answers

Answer:

y = 7/2x - 15

Step-by-step explanation:

y = mx + b

if slope is 7/2, m= 7/2

y = 7/2x + b

if y-intercept is -15, y = -15, x = 0

-15 = 7/2(0) + b

b = -15

then

y = 7/2x - 15

A system of equations is shown below y=3x-7 y=2x+1 what is the solution to the system of equations 8 ,17 -8,17 -8,-17 8,-17

Answers

Answer:

(8, 17)

Step-by-step explanation:

y = 3x - 7,  y = 2x + 1

Substitute the second equation into the first for y.

2x + 1 = 3x - 7

8 = x

Now use 8 for x in one of the equations and solve for y.

2(8) + 1 = y

y = 17

(8, 17)

Can anyone help me with this?

Answers

yea hold on ill leave it in the comments

The price of an item has been reduced by 45%. The original price was $43. What is the price of the item now?

Thank you!

Answers

the price now is $23.65, because 43x.45 = 19.35 so 43-19.35= 23.65

Answer:

23.65

Step-by-step explanation:

what the avage of 87.25

Answers

Answer:

B+

3.3 GPA

Step-by-step explanation:

A brainly Would be greatly appreciate!!!

Answer:

87.25

Step-by-step explanation:

We need a minimum of 30 book sales by today. If 10 books were sold yesterday, what are the possible numbers for sales today
A.b> 20
B. b> 10
C.b> 30
D.b> 20

Answers

I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.

solve pls brainliest

Answers

Answer:

a) 45 minutes

b) 2 miles

c) 8 miles per hour

d) 7.5 minutes per mile

Step-by-step explanation:

a) (150/20) x 6 = 45 minutes

b) (20/150)(15) = 2 miles

c) (20/150)(60) = 8 miles per hour

d) 150/20 = 7.5 minutes per mile

20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute

distance/speed = time

6 miles / (2/15) miles per minute = 45 -> 45 minutes

time*speed=distance

15 minutes * 2/15 miles per minute = 2 miles

Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour

minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile

15/2=7.5

7.5 minutes per mile

Please help me
Three plus two times a number is seven less than four times a number.
What is that number?

Answers

Answer:

5

Step-by-step explanation:

3+2x = 4x-7

3+7=4x-2x

x=5

Answer:

Let the number be x

According to given conditions,

3 + 2x = 4x - 7

3 + 7 = 4x - 2x

10 = 2x

2x = 10

•°• x = 10/2

•°• x = 5

The number is 5.

12 circles to 8 squares simplified is what

Answers

The ratio of circles to squares is 3:2 that means for every 3 circles there will be 2 squares all you have to do to find this answer is divide 12 and 8 by 4.

what's the answer to this math problem?


3c+2= −10

Answers

Answer:

c=-4

Step-by-step explanation:

3c+2=-10

3c=-12

c=-4

please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.​

Answers

Answer:

x=10, y=-1

Step-by-step explanation:

x-y=11

2x+y=19

3x=30

x=10

10-y=11

-y=1

y=-1

USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y

Find the surface area of the following prism.

Answers

Answer: 350 square inches

The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)

4(9+7) + 11 (5+7+9 +5)

--> 350

Can someone help me please​

Answers

Answer:

D

Step-by-step explanation:

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