Find the equation of the line shown.

Find The Equation Of The Line Shown.

Answers

Answer 1
answer: y = -1/4x + 2
explanation: line passes through y axis on 2, so 2 is your y-intercept. rise/run is ur slope, which is -1/4 .
Answer 2

The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,

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

Given that,

Graph of the equation of the line shown in the image.

Use the formula,

The equation of a line in point-slope form passing through the points

[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Let us take two points on the graph, which are (4, 1) and (0, 2).

Here, [tex](x_1 , y_1) = (4, 1)[/tex]

And,  [tex](x_2 , y_2)= (0, 2)[/tex]

So, the slope of the line is,

[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]

[tex]m = \frac{1}{- 4}[/tex]

[tex]m = \frac{-1}{4}[/tex]

Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

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

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Related Questions

what is the mode for the following numbers 67 76 67 76 67 23 32 23 32​

Answers

67 is the mode because it appears the most.

Answer:

67.

Step-by-step explanation:

67 appeared three times while everything else appeared only twice.

72,-36,18,-9 find the common ratio​

Answers

I’m not sure about the answer but there is app called Socratic can help you out

3
4× 20=
3 × 20
4 =


please help fast

Answers

Answer:

[tex]680, 612[/tex]

Step-by-step explanation:

[tex]34[/tex]×[tex]20=680[/tex]

[tex]3[/tex]×[tex]204=612[/tex]

To find the diameter of a circle, multiply its radius by two. True or faulse

Answers

Answer: True

Step-by-step explanation:

Find the surface area of the cylinder
8 cm
3 cm
The surface area of the cylinder is cm?
(Simplify your answer. Type an exact answer in terms of r.)
Enter your answer in the answer hoy

Answers

Answer:

V=pr²t

=3,14 ×8×8×3

=602.88

Step-by-step explanation:

IVA

Answer: surface area

A = 56 π cm^2

Step-by-step explanation:

A = 56 π cm^2

you can stop here and write our answer as 56π Or we can plug in 3.14 and multiply. 56*3.14 = 175.84cm^2

Given: A = { 1, 2, 3, 4 } , B = { 1, 3, 5, 7 } , C = { 2, 4, 6 } .

Answers

Step-by-step explanation:

I hope you like my answer. Thanks.

Which equation goes with the t-chart below?

Answers

Answer:

y = 2 x^2 + 5

Step-by-step explanation:

y = 2x^2 + 5

y = 2(-2)^2 + 5

y= 2(4) + 5

y = 8 + 5

y = 13

you can try for yourself using the other values

The letters of the words "possible outcomes" are put in a bag. Find the probability of picking the letter p.

Answers

Answer: 1/16

Step-by-step explanation:

total number of letters in word =16

probability of p=?

in given words p is only used one time so

1/16 is the probability

Building A is 464 feet tall and Building B is 321 feet tall. Dale is standing between the buildings. The angle of elevation from the point on the ground where Dale is standing is 75 degrees to the top of Building A and 48 degrees to the top of Building B, how far apart are the buildings?

Answers

Answer:

The distance between the buildings is:

D = 413.3 ft

Step-by-step explanation:

Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.

One of the triangles, let's call it triangle A, has the catheti:

Distance between Dale and Building A = d1

Height of Building A = 464 ft

The other triangle (triangle B) has the catheti:

Distance between Dale and Building B = d2

Height of building B = 321ft

We want to find the distance between the buildings, which is equal to d1 + d2.

Then we want to find d1 and d2.

For triangle A:

We know that the angle at the vertex where Dale is standing, is 75°

Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.

Remember that:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

Then:

Tan(75°) = (464 ft)/(d1)

d1 = (464 ft)/(Tan(75°)) = 124.3 ft

Now for triangle B, the angle at the vertex where Dale is standing is 48°.

from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.

Then:

Tan(48°) = 321ft/d2

d2 = (321ft)/(Tan(48°)) = 289ft

Then the distance between the buildings is:

D = d1 + d2 =  124.3 ft +  289ft = 413.3 ft

Can someone help? Please? Thanks:)

Answers

Read the procedural text.

Plain Taffy

3.5 lbs. white sugar

2 cups water

1 teaspoon cream of tartar

Put the sugar and water in a clean pan. Heat mixture over medium-high heat, stirring occasionally until melted. Continue heating to a slow boil.

Add the cream of tartar and put a lid on the pan. Allow mixture to boil in this way for ten minutes.

Remove the lid and immerse a candy thermometer in the boiling liquid. Boil to 310 degrees.

Quickly remove pan from heat and pour contents into oiled frames, tins, or onto a pouring slab.

Cut into bars or squares with a knife or taffy cutter while still warm.

Allow taffy to cool before eating.  so the answer is A

According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.

Answers

Answer:

D) Africa has more users than the Middle East but fewer users than North America.

Step-by-step explanation:

Hope it helps :)

If the measure lf 2 is 83, what is the measure of 3?

Answers

Answer: 97

Step-by-step explanation:

2 and 3 form a supplementary angel, so the sum of the angles should equal 180

HELP I NEED ANSWERS NOW

Answers

Answer:

I am not sure but I think it is c

Step-by-step explanation:

4 times a number minus 8.5 is at most 11.5.

Answers

Hi there! :)

Answer:

4/7 times 35, minus 8.5 is no more than 11.5

The number is : 35

Step-by-step explanation:

Let's replace "a number" by the letter "x" because that's what we are looking for.

4/7 × x = 4/7x

4/7x MINUS 8.5 = 4/7x - 8.5

The expression "no more than" is represented by this sign: ≤

"No more than" can also be "less than or equal to".

The final inequality should look like this:

4/7x - 8.5 ≤ 11.5

Now all you need to do is solve the inequality by isolating "x":

4/7x - 8.5 ≤ 11.5

Add 8.5 to each side of the inequality → 11.5 + 8.5 = 20

4/7x ≤ 20

Divide each side of the inequality by "4/7" → 20 ÷ 4/7 = 35

x ≤ 35

There you go! I really hope this helped if there's anything just let me know! :)

The person above is correct

4-(6x1000)+99-490=
i need u guys help and thank you

Answers

Answer:

-6387

Step-by-step explanation:

I have a feeling you're just giving away points :)

The local hunt club wanted an estimate of how many deer were in their county. They captured, tagged, and released 75 deer. Then they captured 55 deer, of which 15 were tagged. How many deer are in their county?

Answers

115? My math ain’t that good! Sorry

Which expression is equal to 1/6? *

Answers

Answer:

I think that 1÷6 as the same as 1/6

An online music store sells songs on its website. each song is the same price. The cost to purchase 8 songs is $10.


A. Create an equation to represent the relationship between the total cost, c, and the number of songs, s, purchased.


B. At this rate, how many songs can be purchased for $25

Answers

Answer 8 divide by 10 =0.8

0.8x 25=20

Step-by-step explanation: i hope this helps

The equation for the total cost, c, in terms of the number of songs, s, purchased is c = 1.25s and  $25 can purchase 20 songs.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the price of each song.

The cost to purchase 8 songs is given as $10, so we can write the equation:

8x = 10

To find the equation for the relationship between the total cost, c, and the number of songs, s, purchased, we can solve for x:

8x = 10

x = 10/8

x = 1.25

So the price of each song is $1.25, and the equation for the total cost, c, in terms of the number of songs, s, purchased is:

c = 1.25s

To find how many songs can be purchased for $25, we can use the equation:

c = 1.25s

Substitute c = $25, and solve for s:

25 = 1.25s

s = 25/1.25

s = 20

Therefore, at this rate, $25 can purchase 20 songs.

Hence, the equation for the total cost, c, in terms of the number of songs, s, purchased is c = 1.25s and  $25 can purchase 20 songs.

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HELP ME FAST PLEASE!!!!!
the volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches

Answers

Answer:

D. 16 in²

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

Rose plans to have two children but doesn't know if they will be boy-boy, girl-girl, girl-boy, or boy-girl. What is the probability that she will have boy-girl? (1 point)
O 0.5
O 0.75
O 0.25
O 1.00

Answers

I think it is c. .25

Name the number that is 4 units
to the left of the number 1 on the number line. ​

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3 (negative three)

Step-by-step explanation:

when you move to the left you SUBTRACT

when you move to the right you ADD

So for this...

4-1

answer:

-3

The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?

25
28
42
35

Answers

Answer:

35

Step-by-step explanation:

The first number that appears in both sequences is 35.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Now, The first sequence starts with 20 and adds 5 each time, so the first few terms are:

20, 25, 30, 35, 40, 45, 50, 55, 60, ...

And, The second sequence starts with 56 and subtracts 7 each time, so the first few terms are:

56, 49, 42, 35, 28, 21, 14, 7, 0, ...

Hence, Looking at these lists, we can see that the first number that appears in both sequences is 35.

This is the fifth term in the first sequence as,

⇒ 20 + 5 + 5 + 5 + 5 = 35

And, the fourth term in the second sequence is,

⇒ 56 - 7 - 7 - 7 - 7 = 35

Hence, the first number that appears in both sequences is 35.

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find the volume of the rectangular prism. geometry hw plz help

Answers

Answer:

189 cm^3

Step-by-step explanation:

7 times 9 times 3=189

WILL MARK BRAINLIEST PLS HELP ME ​

Answers

Answer:

c 480 square inches your welcome

i believe it is c. 480 square inches

Describe the figure that is created with the points ( -2, -3) ( - 2, 5, (1, -3), and (1, 5)

Answers

Answer:

Hi! The answer to your question is Rectangle

Step-by-step explanation:

↗✧*☆*: .。..。.:*☆♪↗✧*☆*: .。..。.:*☆♪

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Find angle B. What is angle B.

Answers

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that [tex]\frac{sin(a)}{A} =\frac{sin(b)}{B}[/tex]. That means that [tex]\frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}[/tex]. Multiplying 8 to both sides gives us [tex]\frac{8sin(60)}{4\sqrt{6} }=sin(b)[/tex]. By using inverse of sin, we get [tex]b = sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } )[/tex]. Plugging that into a calculator gives us b=45 degrees.

Write 3 equivalent ratios for each ratio given.
6.25 to 1.25

Answers

Answer:

3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Finding equivalent ratios:

To find equivalent ratios, we multiply or divide both a and b by the same value.

6.25 to 1.25

[tex]\frac{6.25}{1.25}*\frac{10}{10} = \frac{6.25*10}{1.25*10} = \frac{62.5}{12.5}[/tex]

[tex]\frac{6.25}{1.25}*\frac{100}{100} = \frac{6.25*100}{1.25*100} = \frac{625}{125}[/tex]

[tex]\frac{\frac{6.25}{1.25}}{{\frac{1.25}{1.25}}} = 5[/tex]

3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]

A) 121
B) 102
C) 141
D) 115

Answers

Answer:

121

Step-by-step explanation:

cause if its on the oppsite side its going to be the same number

find area,of the triangle
digits only. I counted the lines, 7 and 12 ÷2. and it was wrong ​

Answers

Answer:

33 units²

Step-by-step explanation:

1/2(11 x 6) = 33 units²

Miranda’s car travels 40 miles on 1 3/8 gallons of gas. Miranda wants to travel 80 miles. How many gallons of gas will her car use? Show your work.

Answers

All you have to do is double the answer is 40 miles takes 1 3/8 of gas then 80 takes 2 6/8 of gas
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