Write the equation given the point 4,2 and slope 1/2

Answers

Answer 1

Hello.

We have a point that the line passes through and its slope.

Let's write the equation in Point-Slope Form:

y-y₁=m(x-x₁)

In this case,

y₁=2

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

x₁=4

Plug in the values:

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

This is point-slope form. Now, what about Slope-Intercept?

First, we should distribute [tex]\displaystyle\frac{1}{2}[/tex]:

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

Add 2 to both sides:

[tex]\mathrm{y=\displaystyle\frac{1}{2} x-2+2}[/tex]

Simplify:

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

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer 2

Answer:

Step-by-step explanation:

Slope intercept form: y = mx + b

here, m is the slope and b is the y-intercept.

[tex]y=\dfrac{1}{2}x+b[/tex]

The line passes through the point(4,2)

.Plugin these x ad y values in the above equation to find 'b'

[tex]2= \dfrac{1}{2}*4+b\\\\\\2=2+b\\\\b = 2 - 2[/tex]

b = 0

Equation of the line :

[tex]y =\dfrac{1}{2}x[/tex]


Related Questions

describe the mean absolute deviation

Answers

Answer:

Step-by-step explanation:

From Khan Academy, "Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are."

Multiples that are shared by two or more numbers are____

Answers

Answer:

Multiples that are shared by two or more numbers are common multiples.

Step-by-step explanation:

A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are referred to as the common multiples of those numbers.

I hope this helps! ^-^

Find the value of xx, yy, and zz, in the rhombus below.

Answers

Answer:

Step-by-step explanation:

A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.

3x - 4 = 3y + 8 = -2x - 9 = 39

The value of x is 43/3

The value of y is 31/3

The value of z is -24

What is a rhombus?

A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.

We have,

Rhombus:

All four sides are equal.

So,

3x - 4 = 3y + 8 = -2x - 9 = 39

Now,

3x - 4 = 39

3x = 39 + 4 = 43

3x = 43

x = 43/3

3y + 8 = 39

3y = 39 - 8

3y = 31

y = 31/3

-2z - 9 = 39

-2z = 39 + 9

-2z = 48

z = -24

Thus,

The value of x is 43/3

The value of y is 31/3

The value of z is -24

Learn more about rhombus here:

https://brainly.com/question/12665650

#SPJ2

Find the area of each figure in square units.

show work

and explain how you got your answer

Answers

Answer:

  20 square units

Step-by-step explanation:

The area of a parallelogram is the product of its base length and the height measured perpendicular to the base.

Here, the base is 5 units and the height is 4 units. These can be seen by counting the grid squares.

  A = bh

  A = (5 units)(4 units) = 20 units²

The area is 20 square units.

Find the value of x, y, and z in the rhombus below

Answers

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

In a class of 25 students, 7 students have 2 brothers or sisters. 4 students have 1 brother or sister. 3 students do not have any brothers or sisters. 6 students have 3 brothers or sisters. The remaining students have 4 brothers or sisters.

Part A

Use the drop-down menus to make the statement true.

The scale of the line plot should have    Choose...   (0,    1,   7,   8)   as its least data value and    Choose...   (3,    4,   7,   25)   as its greatest data value.

Part B

Use the drop-down menus to make each of the statements about the number of dots true.

 There will be   Choose...   (1,   2,    3,    4)   dots above 1.

There will be   Choose...   (4,    5,    6,    7)   dots above 4.

There will be three dots above   Choose...   (0,    1,    2,    3)   

Answers

Using the basis of how we must represent data on a graph, we can write:

A) The scale is 1, and the maximum value is 7.

B)

 Above 1 we already know that there must be 4 dots.    Above 4, there must be 6 dots.    We only will have 3 dots above the 0 (3 students have 0 brothers or sisters).

How to correctly represent the data?

First, we know that the sample has 25 people in it, an we measure the number of brothers, in such a way that the number of brothers/sisters goes from 0 to 5.

Then, the horizontal axis must go from 0 to 4, in such a way that above the 0 we have 3 dots (because 3 students have 0 brothers or sisters), above the 1 we have 4 dots (because 4 students have one brother or sisters), and so on.

7 students have 2 brothers or sisters (that is the largest number) so the vertical axis must go from 0 to 7.

A) The scale of the line plot is 1, each dot represents 1 student. And the greatest value is 7 (for the students with 2 brothers or sisters).

B)

  Above 1 we already know that there must be 4 dots.    Above 4, there must be 6 dots.    We only will have 3 dots above the 0 (3 students have 0 brothers or sisters).

If you want to learn more about plotting data, you can read:

https://brainly.com/question/24461724

Which of the following proves

Answers

B SSS!!!!! i think so

Answer:

option B

Step-by-step explanation:

hey mate i think it is option B

i hope it  helps

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: A would be the correct answer

Step-by-step explanation: hope it helps

Option A
Complementary angles add up to 90.

Wren is putting bagels into boxes. She puts
8 bagels each into 325 boxes and 12 bagels
each into 150 boxes. She has 6 bagels left over.
How many bagels did Wren start with?

Answers

ANSWER: 4406


8 bagels x 325 boxes= 2600
12 bagels x 150 boxes= 1800
this is how many bagels she has packed^

2600+1800=4400 (add 6 that she had left over making 4406!)

this means Wren started with 4406 bagels.

hope you have a wonderful day and may this help!

the area of rectangle is x²+5x-36 sq. unit. its length and breadth is reduced by 2/2units. find new area of rectangle​

Answers

Step-by-step explanation:

length × breadth = x² + 5x - 36

let's find, what expression was multiplied by what expression to give that result.

first we see, we have a pure x² term.

so, both start with (x + ...) or (x - ...).

then we see the last (constant) term -36.

so, we have a

(x + a)(x - b)

situation.

36 is the product of

6×6

9×4

12×3

18×2

the term +5x tells us that the difference between a and b must be 5. and a as the positive number must be bigger to give us the "+" (the multiplication contains "... + ax - bx ...").

and that means a = +9, b = -4

so, the original area calculation was

(x + 9)(x - 4) = x² + 5x - 36

when we decrease both factors by 2, we get

(x + 9 - 2)(x - 4 - 2) = (x + 7)(x - 6) = x² + x - 42

that is the new area of the rectangle.

Brainliest if correct

Answers

Answer:

[tex]\frac{1}{4} -\frac{1}{12} = \frac{3}{12} -\frac{1}{12} =\frac{2}{12}[/tex]

So hence, Your answer is 2/12

shown above is the other answers

Thanks!

pls help with this
Suppose PQR is rotated 90 about the​ origin, (0,0). Find the coordinates of P​,Q ​, and R . Then sketch P Q R .

Answers

Answer:

3,2

Step-by-step explanation:

Please help me ASAP

I will mark brainliest

( Its not hard im just tired )

Answers

Answer:

Step-by-step explanation:

Length x Width= Area

12 x 12= 144

144in^2


What is the area, in square inches, of the rectangle below?


3/8 inch

2/3 inch

Answer choices:


A square 16/9inches



B 25/24 square inches


C 5/11 square inches

D 6/24 square inches


PLEASE HELP ASAP!!

*if you want to see it with your eyes then you can look at the picture* :)


Answers

Answer:

Given, length, l = 3/8 inches

breadth, b =2/3 inches

We have

area = l × b

= 3/8 × 2/3

= 6/24

the negations of each these propositions "today is monday"

Answers

Answer: Today isn't Monday.

Step-by-step explanation:

A boat travels 300.4 kilometers in 11 hours (with a constant speed) how much time will it take traveling 240 kilometers

PLS HELPPPPP​

Answers

Answer:

The boat travels (300.4 km / 11 hours) which is 27.30909091 kilometers per hour,  So it would take 240 / 27.30909091 hours or 8.78828229 hours.  (Which rounds off to 8.79 hours)

Step-by-step explanation:

1 or 2 days I should be because it says 240!

Solve by factoring 6p^2 - 13p + 6 = 0

Show all work below

Answers

Answer:

p = 3/2 ; p = 2/3

Step-by-step explanation:

Which functions are even?

1.) f(x) = x4 – x2
2.) f(x) = x2 – 3x + 2
3.) (x) = -2)
4.) f(x) = 5x1

Answers

Answer:

1. Even

2. Neither

3. Even

4. Odd

Equations: 1 and 3 are even

Step-by-step explanation:

1. f(-x) = (-x)^4 - (-x)^2

         = x^4 - x^2 Even

2. f(-x) = (-x)^2 - 3(-x) + 2

          = x^2 + 3x + 2 Neither

3. f(-x) = -2

         = -2 Even

4. f(-x) = 5(-x)

          = -5x Odd

I hope this helps!

What is the slope of the line through (-5, -10) and (-1, 5)?

Answers

[tex] the \: slope \: is \: \frac{15}{4} \: or \: 3.75 \\ \\[/tex]

[tex]using \: the \: slope \: fourmula \: = \\ \\ m = \frac{y {}^{2} }{x {}^{2} } - \frac{y {}^{1} }{x {}^{1} } \\ \\ plugging \: in \: our \: points \: = \\ \\ m = \frac{5}{ - 1} - \frac{ - 10}{ - 5} \\ \\ = \frac{5}{ - 1} + \frac{10}{5} \\ \\ [/tex]

[tex] = \frac{15}{4} \\ \\ = 3.75[/tex]

I HOPE IT HELPS YOUPLEASE MARK ME BRAINLIEST:)

Help i don’t understand this question

Answers

Answer:

828 in²

Step-by-step explanation:

To find the surface area of a triangular prism, you find the area of each side and add them together.

Find the area of each rectangular side:

Side 1 :  9 × 20 = 180 in²

Side 2 : 15 × 20 = 300 in²

Side 3 : 12 × 20 = 240 in²

Find the area of the triangular sides:

Area of a Triangle = [tex]\frac{1}{2}[/tex]bh

As you can see, 9 and 12 both work as the height/base for the triangular sides, so

Δ Side 1 = [tex]\frac{1}{2}[/tex]bh = [tex]\frac{1}{2}[/tex](9)(12) = 54

Δ Side 2 is also 54.

Add the areas of all the sides together:

180 + 300 + 240 + 54 + 54 = 828 in²

Jessica is 2 years older than Maggie. The sum of their ages is 26. Define variables and write an algebraic equation to represent the situation.

Answers

Answer:

2+26= 27

Step-by-step explanation:

sana maka tulong po Ito

What’s 6.34 x 10 to the 5th power in standard notation

Answers

Answer:

Step-by-step explanation:

The exponent is 5, making it 10 to the power of 5. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 5 time(s):

The distance between City A and City B is 250 miles. A length of 1.6 feet represents this distance on a
certain wall map. City C and City D are 2.24 feet apart on this map. What is the actual distance
between City C and City D?

The actual distance between City C and City D is ? miles

Answers

Answer:

Y = city C - city D = 2.24 ft

2.24 ft / (1.6 ft / 250 mi) = 350 mi  distance between C and D

Note: 250 mi / 1.6 ft = 156.25 mi / ft

156.25 mi / ft * 2.24 ft = 350 mi

statement TRUE or FALSE? Explain your answer in full sentences. 0.34 is greater than 0.5 because 34 is greater than 5

Answers

Answer:

False

Step-by-step explanation:

.34 is smaller than .5 because .5 is 50/100 and .34 is 34/100

working with decimals is different than working with whole numbers.

If the radius of a circle is decreased by 20%, find the percentage decrease in its area.​

Answers

Answer:

36%

Step-by-step explanation:

Area of circle is

[tex]\pi {r}^{2} [/tex]

If the radius is decreased by 20%. Then the radius will be

80% of the original radius.

So our radius is 0.8.

So our area is

[tex]\pi(0.8r) {}^{2} [/tex]

[tex]\pi(0.64 {r}^{2} )[/tex]

Since pi is constant, the radius only really matters.

We went from

[tex]1 {r}^{2} [/tex]

to

[tex]0.64 {r}^{2} [/tex]

So our area will decrease by 36%

Proof: Let the radius be 10.

So the area of circle will be

[tex]\pi(10) {}^{2} = 100\pi[/tex]

Let our other radius is 8 because 8 is a 20% decrease of the orginal radius

[tex]\pi(8) {}^{2} = 64\pi[/tex]

Next, we subtract the area to find decrease in area

[tex]100\pi - 64\pi = 36\pi[/tex]

Since pi is constant, we can ignore it so our decrease in area is 36%

Dose this image show an enlargement or reduction​

Answers

Answer:

reduction

Step-by-step explanation:

This image shows a reduction of the triangle because the original image of the triangle has a side of 3.4. The image on the right has a shorter length: 1.7. From the information that is given, the image shows reduction.

Choose ALL answers that describe the polygon below.

Answers

Parallelogram quadrilateral rhombus trapezoid

The continuous random variable N has a normal distribution with mean 7.5 and standard deviation 2.5. For which of the following is the probability equal to 0 ?
P(N=8)

P(N>8)

P(N<8)

P(7 8)

Answers

Using the normal distribution, it is found that P(X = 8) is equals to zero.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.As in any continuous distribution, the probability of an exact value, that is, P(X = x), is of 0.

Hence, from the last bullet point, it is found that P(X = 8) is equals to zero.

More can be learned about the normal distribution at https://brainly.com/question/24663213

How far is -10 from 0​

Answers

Answer:

10

Step-by-step explanation:

Distance is always positive

|-10-0|=10

Mark me brainliest!!

Answer:

10! if you can make me brainiest id be happy:)!

Step-by-step explanation:

트 E At which value in the domain does f(x) = 0​

Answers

Answer:

wheres the graph

Step-by-step explanation:

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