A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (1 , 1/2), (3, 2)
A) y + 1/2 = 3/4 ( x + 1 ) ; y = 3/4x + 1/4
B) y − 1/2 = 3 ( x − 1 ) ; y = 3x − 1/4
C) y − 1/2 = 3/4 ( x − 1 ) ; y = 3/4x − 1/4

Answers

Answer 1

Answer:  C

Step-by-step explanation:

Find Slope first

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{2-.5}{3-1}[/tex]

[tex]m=1.5/2\\m=3/4[/tex]

Slope is 3/4

Chose a point to put in point slope form

(1,1/2)

y − y1 = m(x − x1)

[tex]y-\frac{1}{2} =\frac{3}{4} (x-1)[/tex]

[tex]y-\frac{1}{2} = \frac{3}{4}x-\frac{3}{4}[/tex]

add 1/2 to both side


Related Questions

Andrew McCutchen hit 18 homeruns in 9 baseball games. At this rate, how many homeruns will he have hit
in 11 baseball games?
Please show how to do it

Answers

Answer:

if it's 18 home runs in 9 baseball games

then you're dividing 18 by 9 which is 2 home runs for every 9 baseball games

to prove if you're right (9×2=18)

if it's 11 baseball games then 11×2=22

Hope It Helps ☺️

Andrew McCutchen hit 18 a number of homeruns in 9 baseball games. . which is determined by the given proportion.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

Given that he hit 18 homeruns in 9 baseball games.

Let the number of homeruns would be x will he have hit in 11 baseball games.

According to the given question, we can write a proportion as

18 homeruns : 9 baseball games = x homeruns : 11 baseball games.

18 / 9 = x / 11

Apply the cross-multiplication operation,

18 × 11 = 9x

9x = 198

x = 198 / 11

Apply the division operation,

x = 18

Therefore, he hit 18 a number of homeruns in 9 baseball games.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ2

what is 2/10 divided by 2/4

Answers

Given:

[tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex].

To find:

The solution for the given division problem.

Solution:

We have, [tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex]. It can be written as

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{10}\times \dfrac{4}{2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2\times 4}{10\times 2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{8}{20}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{5}[/tex]

Therefore, the solution for the given division problem is [tex]\dfrac{2}{5}[/tex].

If a box is 100cm x 100cm x 30cm, what is its volume?

a: 300,000cm^3

b: 30,000 cm^3

c: 30,000,000 cm^3

get the answer right please.

Answers

The answer would be A as Volume = height x width x depth the answer would be cm3 if the height, distance, and depth are all measured in centimetres.

Finding missing angles
Help asap pls!!

Answers

20 is x because adding it all should be 180

Answer:

it dosent load

Step-by-step explanation:

u can type the angles in the comments and i can help u with that

5
11

= ÷
i need help im confused

Answers

Answer:

huh i dont get the queation

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'. What is the scale factor of the dilation?

Answers

Answer:

The scale factor is 4

Step-by-step explanation:

Given

See attachment for parallelograms

Required

Determine the scale factor (k)

Using sides FG and F'G' as a point of reference:

[tex]FG = 2\ units[/tex]

[tex]F'G' = 8\ units[/tex]

The scale factor (k) is calculated as:

[tex]k = \frac{New}{Original}[/tex]

[tex]k = \frac{F'G'}{FG}[/tex]

[tex]k = \frac{8\ units}{2\ units}[/tex]

[tex]k = 4[/tex]

triangles...................

Answers

Answer:

Answer is TU = 15cm since n = 6 and n + 9 is 6 + 9 which is 15

Answer:

Answer:

triangle STU and WEK are CONGRUENT

ST=WK SIDE OF A CONGRUENT TRAINGLE ARE EQUAL

2M=N.....1

SU=WE

3M+5=N+8

3M+5=2M+8

3M-2M=8-5

M=3

NOW

N=2M=2×3=6CM

TU=WK=N=6CM.

pls help me I don't understand​

Answers

Answer:

[tex]d. \: \: \: 25 {x}^{6} [/tex]

Step-by-step explanation:

Given,

Side of the square

[tex] = 5 {x}^{3} [/tex]

Therefore, area of the square = side × side

[tex] = {5x}^{3} \times 5 {x}^{3} [/tex]

[tex] = 5 \times 5 \times {x}^{3 + 3} [/tex]

[tex] = 25 {x}^{6} [/tex]

The formula for calculating the area of a square is A=a^2. (a=side)
There are multiple ways to solve this but I’m gonna use the simple way to explain.
All we have to do here is take the side times the side:
5x^3•5x^3
5•5=25
**Careful** exponents are added, not multiplied.
25x^6 is the answer

What is the measure of the angle 4?

Answers

A straight line (q) has to equal 180 degrees

180 - 61 = 119 degrees

Answer: 119

I hope this helps but I’m sorry if this is incorrect

Kalyan's present age is one third his mothers present age . If the mothers age was 5 times his age 6 years ago ,what are their present age

Answers

Current ages:

Let Kaylan's present age be x years

Since his age is a third of his mother's present age:

mother's age * (1/3) = Kaylan's age

mother's age * (1/3) = x        

mother's age = 3x                                     [multiplying both sides by 3]

Kaylan's mother's age would be 3x years

Their ages 6 years ago:

Kaylan's age: x-6 years

Mother's age: 3x-6 years

We are told that mother's age was 5 times Kaylan's age, 6 years ago. So,

5*(Kaylan's age 6 years ago) = (Mother's age 6 years ago)

replacing the values

5(x - 6) = 3x-6

5x - 30 = 3x-6

2x - 30 = -6                                             [subtracting 3x from both sides]

2x = 24                                                    [adding 30 on both sides]

x = 12                                                       [dividing both sides by 2]

Hence, x = 12

Kaylan's present age(x) = 12 years

Mother's present age(3x) = 3*12 = 36 years

MARKING BRAINLEIST IS DUE IN MINS I NEED IT TO GET AN A+ !

Answers

Answer:

250

Step-by-step explanation:

V= πr^2h = π·5^2·20 ≈ 1570.79

This is the volume of the full glass so divide that by two and you get 785.4.

785.4 in terms of pi is 250.

Mr John leased two thousand fifty meter square of land from the city administration. He gave one eighth of his land to his brother. How many meters square did he have left?

Answers

Answer:

1793.75 m²

Step-by-step explanation:

Given that :

Total amount of land leased = 2050 m²

Fraction of land given to brother = 1/8

Amount of land given to brother :

1/8 * 2050 = 256.25 m²

Amount of land left :

2050 m² - 256.25 m²

= 1793.75 m²

PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ 12 POINTS

The expression 2(4+v)+9v is simplified in several steps below.

For each step, choose the reason that best justifies it.

8+2v+9v

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

8+11v

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

11v+8

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

Pick from the options what the equations are

Answers

Answer:

a.) distributive property

b.) combining like terms

c.) cumutitative property

What is the largest integer greater than - 81?

Answers

Answer:

28

Step-by-step explanation:

28

Explanation:

Let the first integer be

n

Then the sum is

n

+

(

n

+

1

)

+

(

n

+

2

)

=

81

Giving

3

n

+

3

=

81

3

n

=

78

n

=

78

3

=

26

Thus the largest integer

n

+

2

=

26

+

2

=

28

i need help asap plz

Answers

Answer:

A

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are [tex]x[/tex] and [tex]y[/tex].

To find the constant of proportionality, all we have to do is divide any value of [tex]y[/tex] by its corresponding value of [tex]x[/tex]. Let's take the values in the first row of the table. We know that [tex]x=2[/tex] and [tex]y=12[/tex], so the constant of proportionality is [tex]\frac{y}{x}=\frac{12}{2} =6[/tex]. Hope this helps!

please help me with this it is practice and I'm confused ​

Answers

Answer:

D

Step-by-step explanation:

A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).

A 92​-inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece. The shorter piece is nothing inches long.

Answers

Answer:

23 inches

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

A 92-inch is cut into two pieces.

x + y = 92

One piece is three times the length of the other.

x = 3y

Find the length of the shorter piece.

Hence:

x + y = 92

x = 3y

3y + y = 92

4y = 92

y = 92/4

y = 23 inches

Solving for x

x + y = 92

x + 23 = 92

x = 92 - 23

x = 69 inches

The shorter piece is 23 inches long.

a gallon of water weighs 8 1/3 lb. how much does 1 1/5 gal of water weigh

Answers

Answer:

1 1/5 gallons is 6/5 volume of 1 gallon. Therefore, 8 1/3 * 6/5 = 25/3 * 6/5 = 150/15 = 10 lbs.

Step-by-step explanation:

Find the volume of a cube that measures 3 ft high

Answers

Answer:

27ft^3

Step-by-step explanation:

3^3 is 27

Look the the question below

Answers

Answer:

Step-by-step explanation:

Since 3 is odd he will lose

-10(3)=-30

PLEASE HELP I'LL GIVE THE BRAINLIEST

Select the corect answer.

Triangle a is rotated 180° counterclockwise about the origin. Which figure is transformed figure? (zoom into the picture if you can't see it)​

Answers

Answer.

B

Step-by-step explanation:

When a triangle is rotated 180° clockwise or anti clockwise both the x and y value will attain the opposite sign example:

(a,b) will be (-a,-b)

(1,-3)will be (-1,3)

Cynthia is saving money for her trip to Italy. She put her money into a savings account so it can accrue interest. She deposits $4,500 into the account that has an interest rate of a 8.5%. She keeps the money in the account for 3 years. What is the balance of the account after 3 years.

$1147.50

$5647.50

$11,475

$95.63
RIGHT ANSWER BRAINLYEST

Answers

Answer:

$5647.50

Step-by-step explanation:

Formula for interest => I = Prt

substitute => I = (4500)(0.085)(3)

I = 1147.5

Add interest to our principle value => 4500 + 1147.5

Thus, our answer: $5647.50

Solve for X when the surface area is 298ft^2

Answers

Step-by-step explanation:

Total surface area of cuboid= 2(lb+bh+hl)

= 298ft²=2(28+4x+7x)

= 149=28+11x

= 121=11x

= 11=x

Help please
n/9 + 2/3 = -2/3

Answers

Answer:

n = - 12

Step-by-step explanation:

n/9 + 2/3 = - 2/3

n/9 = - 2/3 - 2/3

n/9 = - 4/3

n = 9(- 4/3)

n = -36/3

n = - 12

Need help with math again ​

Answers

Answer:

x=15

Step-by-step explanation:

x=√(12)²+(9)²

x=√144+81=√225

x=15units

pls :,) i’m begging u

Answers

Answer would be C. (-2,0) (0,3)
Y= -2/3 - 3
Mark the first guy Brainliest he got it right

Why is it appropriate to use the trigonometric functions on triangle FGJ but not on triangle FHJ?

Answers

Answer:

wdym???????

Step-by-step explanation:

What is the value of x?

Answers

Answer:

20

Step-by-step explanation:

3x+50=6x-10 (vertically opposite angles)

50+10=6x-3x

60=3x

60/3=x

x=20

Answer:

x = 20

Step-by-step explanation:

6x - 10 = 3x + 50       {Vertically opposite angles}

6x        = 3x + 50 + 10     {Combine like terms}

    6x    = 3x + 60        {Subtract 3x from both sides}

6x -3x  = 60

     3x = 60         {Divide both sides by 3}      

        x = 60/3

x = 20

PLS HELP!!!!! I DONT GET IT

Answers

Answer:

Step-by-step explanation:

They give you the equation and wish that you evaluate that expression by terms provided. You need only to substitue the values given into the equation

a)3(2^1)=3(2)=6

b)3(2^4)=3(16)=48

Answer:

a. 3 x 2^1 = 6

b. 3 x 2^4 = 48

Step-by-step explanation:

You basically just fill in the "t" spot with 1 and 4 and then solve it from there.

Hope this helped!!

what's the value of a ?
[tex]a {}^{2} = 196[/tex]

Answers

ANSWER :

▶️a = √196

▶️a = 14

VARIFICATION :

▶️ 14² = 14×14

▶️ 14² = 196

hence , 14 is the answer..

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