Pls help! Write an equation of the line that passes through the points (1, 2) and (4, 8)

Answers

Answer 1

Answer (assuming it can be in slope-intercept form):

[tex]y =2x[/tex]  

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(8)-(2)}{(4)-(1)} \\m = \frac{8-2}{4-1} \\m = \frac{6}{3} \\m = 2[/tex]

So, the slope is 2.  

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute real values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose one of the given points (it doesn't matter which one, the results will equal the same thing) and substitute its x and y values into the formula as well. (I chose (1,2), as seen below.) Then, isolate y to put the equation in slope-intercept form ([tex]y = mx + b[/tex] format) and find the following answer:

[tex]y-(2) = 2 (x-(1))\\y-2 = 2(x-1)\\y -2 = 2x-2\\y = 2x+0\\y = 2x[/tex]


Related Questions

help 20 points on the line real answer plz!!

Answers

Step-by-step explanation:

D makes the most sense to me hopefully this helps

Answer:

24 cubic in

Step-by-step explanation:

Hope this helps UwU

The area of a square screen is 100 cm². Find the side length
of the screen.

Answers

Answer:

10 cm

Step-by-step explanation:

From the question,

Area of a square = (Length)²

A = L²............................ Equation 1

Where A = Area of the screen, L = Length of the Screen

make L the subject of the equation

L = [tex]\sqrt{A}[/tex].................... Equation 2

Given: A = 100 cm²

Substitute into equation 2

L = [tex]\sqrt{100}[/tex]

L = 10 cm

Hence the length of the screen is 10 cm

A salt shaker company produces salt shakers of various heights they create a table showing how many salt Greynolds each size salt shaker holt does the star represent a proportional relationship click on the correct response then answer the question below

Answers

You can ask for a tutor here on the Brainly app don’t forget!!!! :)

Homework
Answers are given at the end of
the chapter
Q1 Change 0.035 g to milligrams.​

Answers

Answer:

the answer 0.035 g = 35 milligrams

Answer:

Step-by-step explanation:

35miligram in 0.035g

By what percent will a fraction increase is decreased by 10% and its denominator is decreased by 50%

Answers

Answer:

Let's assume the fraction is 1/1

decreasing 1 by 10% = .9

decreasing 1 by 50% = .5

So the fraction becomes .9/.5 = 1.8

So its value increases by 180%

Step-by-step explanation:

Nicki needs to purchase AT LEAST 65 party decorations. The Party Palace charges
$0.50 per decorative streamer and $0.25 per balloon, including tax. Which
combination of streamers and balloons can Nicki purchase with $20.00 at the Party
Palace?

Answers

Answer:

B

Step-by-step explanation:

B is the most likely answer due to

13x.5=6.5

and

53x.25=13.25

13.25+6.5=19.75$

Now stop making a high schooler do your work xD

help me with this please
number
10​

Answers

Answer:

B. Trinomial

Step-by-step explanation:

A trinomial has three terms

The three terms are 2x^2, 3x, -2

If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year

Answers

Answer:

$102

Step-by-step explanation:

2% of $100 = 0.02 * $100 = $2

The increase is $2.

$100 + $2 = $102

Answer: $102

Answer:

100 x 0,2 x 1 year(12/12 months)

=$102 after a year

A piano turner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the piano turner charges for 4 hours of work?

Answers

$63. 1.5 hrs
$x. 4 hrs

63/x=1.5/4

x=63•4/1.5
x=252/1.5
x=168$

Can you help me here is the inage

Answers

Answer:

150x=y

Step-by-step explanation:

2x150=300

4x150=600

6x150=900

8x150=1200

d i need help on this ​

Answers

Step-by-step explanation:

Yes, they are similar because if you convert both of the measurements to fractions, which will be 2/3 and 8/12, you can see that if you simplify 8/12, you will get 2/3. That is why they are similar.

Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount ​

Answers

Answer:

The simple interest is of 526.

The total amount is 3156.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question, we have that:

[tex]P = 2630, I = 0.08, t = 2.5[/tex]

The simple interest is:

[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]

The simple interest is of 526.

The total amount is:

[tex]T = E + P = 2630 + 526 = 3156[/tex]

The total amount is 3156.

Olivia collect square pieces of cloth to make a quilt. She keeps the square pieces of cloth in a craft box. She has 18 purple squares ,34 green squares, 14 white squares, 26 blue squares, and 8 black squares. She selects one square at random and returns it to the craft box then she selects a second Square, at random what is the probability that the first Square selected is white and the second Square select it is purple

Answers

Answer:

[tex]P(White\ and\ Purple) = 2.52\%[/tex]

Step-by-step explanation:

Given

[tex]Purple = 18[/tex]       [tex]Green = 34[/tex]         [tex]White = 14[/tex]

[tex]Blue = 26[/tex]          [tex]Black = 8[/tex]

Required

Probability of first selecting white and then selecting purple

The total boxes is:

[tex]Total = 18+34+14+26+8[/tex]

[tex]Total = 100[/tex]

The probability is represented as:

[tex]P(White\ and\ Purple)[/tex]

And the solution is:

[tex]P(White\ and\ Purple) = P(White) * P(Purple)[/tex]

[tex]P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}[/tex]

[tex]P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}[/tex]

[tex]P(White\ and\ Purple) = \frac{14*18}{100*100}[/tex]

[tex]P(White\ and\ Purple) = \frac{252}{10000}[/tex]

[tex]P(White\ and\ Purple) = 0.0252[/tex]

or

[tex]P(White\ and\ Purple) = 2.52\%[/tex]

What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)

Answers

Answer:

1:2

Step-by-step explanation:

18 inches to 1 yard

We need to convert 1 yard to 36 inches

18 inches : 36 inches

Divide each side by 18

18/18 : 36/18

1:2

what is taxation ?...maths literacy​ grade 12

Answers

Taxation is how much the government taxes you

GEOMETRY

PLEASE HELP

PICTURE INCLUDED

Answers

Answer:

x = 25°

Step-by-step explanation:

3x + 30 + 2x + 3x + 30 + 4x = 360° (a full circle contains 360°)

12x + 60° = 360°

12x = 300°

x = 25°

Jamie has 3 dogs, 4 cats, 2 lizards and 2 sisters. He wants to find the
percent of his pets that are lizards. Classify each statement as true or
false based on the information. *
True
False
The number of sisters is not
needed to find the percent of
pets that are lizards.
O
To find the percent of pets
that are lizards, 2 is the part
and 11 is the whole
ооо.
To find the percent of pets
that are lizards, 2 is the part
and 9 is the whole

Answers

1. True
2. False
3. True

Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3

Answers

Answer:

3

Step-by-step explanation:

y= x + 8..... (1)

y= 3x - 11..... (2)

y - x = 8..... (3)

y - 3x = -11..... (4)

eliminating x:

(3) × 3: 3y - 3x = 24 ........ (5)

(4) × 1: y - 3x = -11 ......... (6)

(5) - (6): 2y = 35

Divide both sides by 2, therefore, y = 17.5

substitute the value of y into (3)

y - x = 8

17.5 - x = 8

17.5 - 8 = x

9.5 = x

I hope it'll help

Marking brainliest!!

What should I put for the second question? I am confused. HELPP

Answers

if other experts state the same thing in their own paper or document.

One could analyze the ideas expressed in papers and lectures of experts. Since these people are well educated and creditable, their ideas should be taken seriously. In this case, the author argues that people should pay for the things that they own. By finding a credible expert that shares the same opinion, the idea can be verified.

4(A) The table given shows the change in price in a sale.
TV
Laptop
Normal
Dhs 2000
Dhs 1800
price
Sale price
Dhs 1750
Dhs 1440
(a) Calculate the percentage increase or decrease for
(0) TV and
) Laptop
(b) Which item has the best reduced price?
Cho can anyone help me ​

Answers

Answer:

(a)

[tex]\%Decrease= 12.5\%[/tex] --- TV

[tex]\%Decrease= 20\%[/tex] --- Laptop

(b) Laptop

Step-by-step explanation:

Given

Normal                       Sales

[tex]TV = 2000[/tex]                  [tex]TV = 1750[/tex]

[tex]Laptop = 1800[/tex]             [tex]Laptop = 1440[/tex]

Solving (a): Percentage increase of decrease for both

Percentage change is calculated as:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

For TV

[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]

[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]

[tex]\%Change = -0.125* 100\%[/tex]

[tex]\%Change = -12.5\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 12.5\%[/tex]

For Laptop

[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]

[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]

[tex]\%Change = -0.2* 100\%[/tex]

[tex]\%Change = -20\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 20\%[/tex]

Solving (b):

Laptop has the best reduced price  because it has a larger percentage decrease

What is the converse of the statement? if p then q

A If q, then p.
B If not p, then q.
C If not p, then not q.
D If not q, then not p.

Answers

I think it’s A sorry if I’m wrong


Form a paragraph proof for the following. Make sure you include all the
explanations.
HELP ASAP PLS

Answers

Answer:

Line BD is Congruent to Line BD due to the Reflexive property. Angle Bad is congruent to angle BCD because of the third angle theorem therefore triangle ABD is congruent to triangle CBD because all angles and sides are congruent

I don't know if that will satisfy your teacher because some prefer different things but that leaves no ground to be inferred and explains everything word for word.

g(x) = 2x^4 +5x^3– x^2 +5x– 1
List the possible factors of g(x).

Answers

Answer:

That's the answer look at the picture

Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true

Answers

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

P(2) is trueP(4) is true P(6) is true

this simply means  that ;  P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

P( 0+2 ) = P(2)  is true

also P(1) and P(2) are true

we will assume that

P(1+2) = P(3)  is true

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

P(2+2) = P(4)  is true

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

State the name of the figure (

Answers

9) C rhombus

10) D rectangle

11) B square

12) A square

Giving brainliest and 30 points!!!
The table shows the balance of a money market account over time. Write a function that represents the balance in y (dollars) after t years

Answers

Answer:   y = 200·1.15^t

Step-by-step explanation:

The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as

 y = initial value · (common ratio)^t

 y = 200·1.15^t

what is 29 divided 3 and what is the remainder?

Answers

Answer:

9 remainder2

Step-by-step explanation:

Answer:

29 divided by 3 is equal to 9, with the remainder 2.

Step-by-step explanation:

 29 : 3 = 9

- 27

   (2)

The diagram below shows some measurements taken from a new bridge. How long is the bridge?

 feet   


Answers

Answer:

1,737.3 feet

Step-by-step explanation:

Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.

Let the missing leg for each triangle be x and y respectively.

Length of bridge = x + y

✔️x = √(1115² - 860²) = √503,625

x ≈ 709.7 (nearest tenth)

✔️y = √(1340² - 860²)

y ≈ 1,027.6 (nearest tenth)

✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft

Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD​

Answers

Answer:

c) inversely

Step-by-step explanation:

In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.

Mathematically, an inverse relationship is given by the formula;

A = K/B

Where;

A and B are the variables.

K is the constant of proportionality.

Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.

Help Please!!!
Thanks

Answers

it’s a!! you can check by replacing x with the numbers inside the brackets until the equality is true!

Answer:

d i hope please be d please please

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