Write an equation in slope intercept form of the line shown. (4,1) (8,4)

 Write An Equation In Slope Intercept Form Of The Line Shown. (4,1) (8,4)

Answers

Answer 1

Answer:

Y = 3/4x - 2

Step-by-step explanation:

Slope (rise/run) is 3/4 and the y-intercept is -2.

Hope this helps. Pls give brainliest.

Answer 2

An equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.

The given coordinate points are (4, 1) and (8, 4).

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, slope = (y2-y1)/(x2-x1)

= (4-1)/(8-4)

= 3/4

Put m=3/4 and (x,y)=(4,1) in y=mx+c

1=3/4 (4)+c

⇒c=-2

Now, substitute m=3/4 and c=-2 in y=mx+c and simplify

That is y=3/4 x-2

Therefore, an equation in slope intercept form of the line shown (4,1) and (8,4) is y=3/4 x-2.

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Related Questions

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram

Answers

Answer:

12

bcz he can't put a 0.725 fish so it will be rounded up back to 12

The greatest number of neon tetra fish he puts in the tank is 12.

What is cuboid?

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.

The tank is 55 cm wide, 28 cm long and height is 33 cm.

And the surface of the water in the tank is 3 cm below the top of the tank.

That means,

to determine the volume,

So, the volume of cuboid

= 55 x 28 x 33

= 50820 cubic centimeters.

And we know 1000 cubic centimeters is 1 liter of water.

So, 50820 = 50.820

And divide by 4

We get the greatest number of neon tetra fish he puts in the tank.

50.820 / 4

= 12.705

≈ 12

Therefore, 12 is the required number for neon tetra fish.

To learn more about the cuboid;

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H
S
45°
299
N
106
E
29°
А A A

Answers

Answer:

Can you pls write it straight

Step-by-step explanation:

PLEASEEE HELP!!!!!
Name the congruent triangles and justify the reason for congruence.
AABC - AFDE by HL
AABC - AEDF by ASA
AABC - AFED by HL
AABC - AFED by ASA

Answers

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

What are congruent triangles?

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

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What is the graph for f (x)=-2(x-3)2+4

Answers

Answer:

hnahnahnahnahhnahnahnahnah

like this ? since the slope would be f(x)=-2x+12

What is the inverse of the function f(x) = 2x - 10?

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]

qual é 33⅓% de 108?​

Answers

0.333 x 108 = 35.96
= 36 (esta é a resposta final, eu não sei se você realmente precisa dela)

Hi... can you tell me is this formula is right or wrong?? ​

Answers

Answer:

this formula is right

Madhu bought a washing machine for Rs 13,000. He then sold it for Rs 15,000. He also paid Rs 300 to arrange the delivery of the washing machine at the buyer's house.
How much profit did Madhu make by selling the washing machine?

Answers

cost price=1300

selling price=1500

1500_1300=2000

madhu use 300 from his profit so

2000_300=1700

answer=1700

Please someone help me

Answers

m=69 miles

you can find this because if you divide the 9 by 6 as they are matching sides you get 1.5, take that number and multiply it by the 46 and get the 69! hope that helps :D

Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used two-third of area of the garden for planting rose plants and the rest of the area for marigold. How much area has been used for planting marigold?

Answers

Answer:

Step-by-step explanation:

Which expressions represent this model? Check all that apply. 4 + 5 4(5) 20 5(4) 05(5​

Answers

I believe the answer 4(5)...

Answer:

4(5), 20, and 5(4)

Step-by-step explanation:

i just did it! have an amazing day

18- 8x = 8 + 3(1 - 3x)
Work shown please!

Answers

Answer

7 = -x

Step-by-step explanation:

18- 8x = 8 + 3(1 - 3x)

18- 8x = 8 +3-9x

18- 8x = 11 - 9x

7- 8x = -9x

7 = -x

Answer:

x=-7

Step-by-step explanation:

step by step in picture.

Jennifer says the quadrilaterals below must be congruent because their angles are congruent. Is she correct?

Answers

I've attached the complete question withe the 2 quadrilaterals.

Answer:

Jennifer is not correct because equal angles alone is not a proof of congruency.

Step-by-step explanation:

Now, in test for congruence, we use any of the following criteria;

SSS: Side - Side - Side

SAS: Side - Angle - Side

ASA: Angle - Side - Angle

AAS: Angle - Angle - Side

RHS: Right angle - Hypotenuse - Side

The assumption in the question is that all the angles are equal to determine that the quadrilaterals are congruent.

However, we don't use AAA(Angle - Angle - Angle theorem) as a congruence proof because it's very possible to have all the internal angles equal and yet all the corresponding sides don't have the same length.

Thus, Jeniffer is not correct.

Fritz Benjamin buys a car costing $24600. He agrees to make payments at the end
of each monthly period for 6 years. He pays 7.2% interest, compounded monthly.
What is the amount of each payment? Find the total amount of interest Fritz will
pay.

Answers

Answer:

$525.62

$13,244.64

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = principal = $24,600

r = interest rate = 7.2% = 0.072

n = number of periods = 12

t = time = 6 years

A = P(1 + r/n)^nt

= 24,600(1 + 0.072/12)^12*6

= 24,600(1 + 0.006)^72

= 24,600(1.006)^72

= 24,600(1.5384)

= 37,844.64

12 months × 6 years = 72 months

Each monthly payment = Total payment / number of months

= $37,844.64 / 72

= $525.62

Total amount of interest = Total payment - Principal payment

= $37,844.64 - $24,600

= $13,244.64

help me ill give branilyest

At store A, 3 pounds of apples cost $12.
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.
The cost of apples at store C is shown in the graph.

Answer the questions to find out which store's apples are the least expensive.

1. What is the unit price of apples at store A? Explain how you found this unit price.


Write your answer in the space below.















2. What is the unit price of apples at store B? How did you use the equation to find the unit price?


Write your answer in the space below.















3. What is the unit price of apples at store C? How did you use the graph to find the unit price?


Write your answer in the space below.















4. Which store has the lowest unit price for apples?


Write your answer in the space below.

Answers

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

A radio station is offering a promotion for a concert. Every 6th caller will receive a T-shirt and every 10th caller will receive a free concert ticket. Which caller will be the first to receive both a T-shirt and a free concert ticket?

Answers

The 30th caller I don’t have anything else to say but my answer has to be longer to send that’s all hopes this helps :)

The diameter of a circle measures 32 ft. What is the circumference of the cirle? Use 3.14 for n, and do not round tour answer. Be sure to include the correct unit in your answer.​

Answers

Step-by-step explanation:

circumference=

π*d

3.14x32

=100.48

Simplify
2(x+7) 2x + 20
- 2 =
x+4
2x + 8

Answers

Answer:

x = 0

Step-by-step explanation:

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

Answer:

x = 0

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

whats the slope of 10x+4y=-20

Answers

Answer:

In Explanation

Step-by-step explanation:

First, you should put the equation in slope intercept form (y = mx + b), where m is the slope.  

10x + 4y = 20

Isolate the y term

10x + 4y – 10x = 20 – 10x

4y = 20 – 10x

Rearrange the terms

4y = –10x + 20

Divide both sides by 4

4y4=−10x+204

y=−104x+5

The slope of the given line is –10/4. A perpendicular line will have a slope with the opposite reciprocal. In simpler terms, you flip the slope and change the sign, therefore, the opposite reciprocal is 4/10.

20 – 3n > 7n show work

Answers

Answer:

n>5

Step-by-step explanation:

move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side

now you have

-3n>7n-20

move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have

4n>20

this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.

n/4>20/4.

you are left with n>5

Answer:

n<2

Step-by-step explanation:

Subtract 20 from both sides 20-3n-20>7n-20

Simplify -3n>7n-20

Subtract 7n from both sides -3n-7n>7n-20-7n

Simplify again -10n>-20

multiply both sides by -1 (-10n)(-1) < (-20)(-1)

Simplify 10n<20

Divide both sides by 10 Then you get your answer

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box.

Answers

Answer:

Step-by-step explanation:

y=1/2-5x

Answer:

y = -1/3x - 5

Step-by-step explanation:

Using points on the graph to get the equation

Slope intercept form:

y = mx + b

From the graph, point (0, -5) we can see y-intercept is b = -5

An calculating the slope using two points (-6, -3) and (6, -7):

m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3

So the line is:

y = -1/3x - 5

HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.

Answers

Answer:

y= 30x

tep-by-step explanation:

The answer is y=30x hope this helps

Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How
many sweets are there altogether?

Please help

Answers

The answer would be 40 because 4:3:1 then if peter has 20 and 4x5=20. 3x5= 15. And 1x5=5 so the final answer would be 20:15:5. ✌

The perimeter of a rectangular painting is 348 centimeters. If the width of the painting is 82 centimeters, what is its length?
1 centimeters

Answers

Answer:

Step-by-step explanation

Given

The perimeter of a rectangular painting =348 centimeter

the width of the painting=82cm

Solution

Perimeter of the rectangular painting=2(length+width)

2(Length +width)=348

2(Length+82)=348

2l+164=348

2l=348-164

2l=184

Length=184/2

So length =92cm.

Which is the best estimate of 20,168 ÷ 21?

Answers

Answer:

Use the algorithm method.

 9 6 0

2 1 | 2 0 1 6 8

1 8 9  

1 2 6

1 2 6

8

960

Step-by-step explanation:

May I have brainliest plz

Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.

Answers

THE ANSWER IS C. Shanika pays $35.88 more than Vanessa.

Answer:

C

Step-by-step explanation:

EDGE2021

In order to keep a specific bacteria alive, the tempature in a science lab, cannot exceed -20F. The electricity went out, when the tempature was -72F, but is increasing at a rate of 6.5 per hour. How many hours do the scientist have until the bacteria is not safe?

Answers

Answer:

At most 8 hours

Step-by-step explanation:

Given

[tex]Maximum = -20F[/tex]

[tex]Rate = 6.5/hour[/tex]

[tex]Base\ Temperature =-72F[/tex]

Required

Determine the time taken

Represent time by t.

The relationship between all parameters is:

[tex]Maximum = Base\ Temperature + Rate * t[/tex]

[tex]Base\ Temperature + Rate * t \leq Maximum[/tex]

This is so (≤) because, according to the question, the temperature can not exceed the maximum.

So, we have:

[tex]-72 + 6.5*t \leq -20[/tex]

[tex]-72 + 6.5t \leq -20[/tex]

Collect Like Terms

[tex]6.5t \leq -20 + 72[/tex]

[tex]6.5t \leq 52[/tex]

Solve for t

[tex]t \leq 52/6.5[/tex]

[tex]t \leq 8[/tex]

Hence, they have at most 8 hours

Greg earns a salary of $300 per week plus an additional 6% commission on his sales. If his weekly salary increases by $50 and his commission increases to 7% how much will Greg earn if his weekly sales are $4,000?

Answers

Answer:

630

Step-by-step explanation:

350+4000(0.07)

350+280

=630

I think this is right

The diagram below represents which percent?

An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%

Answers

Answer:

32 percent

Step-by-step explanation:

32 plus 68 =100

32 divided by 100 equals .32 or 32 percent

Answer:

Your answer is C, 32%

Step-by-step explanation:

It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.

Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73

Answers

I think it’s A..........
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