Consider the line shown on the coordinate plane
What is the equation of the line in the form y = mx + b?
10
Drag numbers to the boxes to complete the equation in the form
y = m + b
8
7
6
y
2
3
PH
-4
.: 2
:: 2
::
:: +2
-10-9-8-7-5-4-3 -2 -1 0
.: +4
-5
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1
2
3
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5
8
7
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1/15/2021

slope = 4

y intercept = 0

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Explanation:

Two points on this line are (8,32) and (12,48)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (48-32)/(12-8)

m = 16/4

m = 4

The slope is 4.

Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b

y = mx+b

32 = 4*8+b

32 = 32+b

32-32 = 32+b-32 ... subtract 32 from both sides

0 = b

b = 0

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We found that m = 4 is the slope and b = 0 is the y intercept

We go from y = mx+b to y = 4x+0, which simplifies to y = 4x

In short: the y coordinate is 4 times that of the x coordinate.

For instance, if x = 16, then

y = 4x = 4*16 = 64

Which leads to the point (16,64)

Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.

Answer:

y = 4x

Step-by-step explanation:

The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]

~~~~~~~~~~

(8, 32)

(12, 48)

(16, 64)

k = 32 ÷ 8 = 4

y = 4x

Answer:

Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Step-by-step explanation:

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Answer:

The integer is a positive 4 for golf. Under par should be negative 4.

Step-by-step explanation:

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

Answer:

Step-by-step explanation:

Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.

A and B look like they are added.

C looks like some sort of subtraction has taken place.

D: - 1 * 7 = - 7

4*7 = 28

5*7 = 35

The answer is 2-7x I'm 100% sure

Answer:

[tex]y-4=\frac{1}{2} (x+10)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the point (-10,4)

[tex]y-4=m(x-(-10))[/tex]

Two negatives make a positive

[tex]y-4=m(x+10)[/tex]

Plug in the slope

[tex]y-4=\frac{1}{2} (x+10)[/tex]

I hope this helps!

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

Answer:

11-n=5

Step-by-step explanation:

Answer:

Approximately [tex]3410[/tex] steps each hour.

Step-by-step explanation:

Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.

Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.

To find: Number of steps, approximately, she walked each hour.

Solution: We have,

Total number of steps [tex]=20,458[/tex] steps.

Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.

So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.

Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.

Answer: Yes the two expressions are equal because 8 times 1 is 8

8 = 8

Step-by-step explanation: hope this helps

________the answer is Y=8X+2___________

Step-by-step explanation:

_

Answer:

The slope is 4/3 :)

Step-by-step explanation:

Answer:

I did Mental Math and Got 6!

5 times -5 +1 is -9 , -9/2 needs a 4 for the denominator to divide I think and so that would make it -18/4, and -18/4 divided by -3/4 is 6/1 which equals 6.

Answer:

the answer is 29

Step-by-step explanation:

good luck! <33

Answer:

The answer is  203

Step-by-step explanation:

 I  started off by dividing 609 by 3 and your answer is on the top. You're welcome!!

Answer:

try subtracting 1000,000-40000. I may be wrong

Answer:

Circumference = 2*pi*radius. Pi = 3. 2 * 3 = 6. Find r: 96/6 = 16.

Step-by-step explanation:

i think it is this 16

Answer:

The indifference point is 360 miles.

Step-by-step explanation:

Giving the following information:

Rental 1:

Total cost= 185 + 0.25*x

x= miles driven

Rental 2:

Total cost= $275

Now, we need to equal both formulas and isolate x:

185 + 0.25x = 275

0.25x = 90

x= 90/0.25

x= 360

The indifference point is 360 miles.

Answer:

first part is can be used to create an equivalent system and second part is can’t be used to create an equivalent system i think

Answer:

first can

second cant

Step-by-step explanation:

Answer:

$44.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total surface area of the room = 2(LW + WH + LH)

TSA = 2(9*5 + 9*6 + 5*6)

TSA = 2(45 + 54 + 30)

TSA = 2(129)

TSA = 258

Hence the total surface area of the room is 258m²

If 1m² = ₹ 5

258m² = 5(258) = ₹ 1290

The cost of white washing if the ceiling of the room is also whitewashed is ₹ 1290

Answer:

x = 4.5, 4/7

Step-by-step explanation:

To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.

Answer:

80% complete with the test

Step-by-step explanation:

what you would do is if he does 20 out of 25 questions you would think that 25 is 100 and you would see that 20 is 80% because of you doing 5,10,5,20,25 the 20 is the 4th one and 80 is the forth of 100 so the answer is 80%.

Hope this helps :)

Answer:

(x-6)(x+6)

Step-by-step explanation:

Answer:

(x-6)(x+6)

Step-by-step explanation:

cause you see x-6 is part of it cause ur multiplying

and x+6  of it cause ur multiplying both sides

for both.

and sorry for like typos or thing slike that cause i been typing a whole essay today for college

like 1000 words

[tex]y = 22[/tex]

Multiply both sides by y × 11

[tex]3y = 6 \times 11[/tex]

Solve a solution to y

[tex]y = 22[/tex]

HopeItHelps you

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

Answer:

Is this a test

Step-by-step explanation:

Answer: 4x-y+2=0 i think

Step-by-step explanation

Answer:

180 degrees in a triangle

180 - 78 - 47- 61 = -6

2X = -6

-6/2 = -3

-3 + 47 = 44

-3+61= 58

78 + 58 + 44= 180

A = 44 degrees

Answer:

$800.36

Step-by-step explanation:

429+289=748

7% of 748= 52.36

748 + 52.36=800.36

The total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Jill is buying new appliances.

The cost of the dishwasher is $459 and the cost of the microwave is $289.

The total amount of the dishwasher and microwave will be

Total amount = 459 + 289

Total amount = $748

Then the price of the dishwasher and microwave after the sales tax of 7% will be

Total price = 7% of $748

Total price = 1.07 x $748

Total price = $800.36

Then the total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Q) (-2, 2)

V) (2, 2)

Step-by-step explanation: