What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)

Don't forget to simply if you can!

What Is The Equation Of The Line On The Graph? Write Your Answer In Slope-intercept Form. (y = Mx + B)Don't

Answers

Answer 1

Answer:

y= ⅔x -2

Step-by-step explanation:

slope-intercept form

y= mx +b, where m is the slope and b is the y-intercept.

Two given coordinates: (-3, -4) and (6, 2)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

Slope

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

[tex] = \frac{2 + 4}{6 + 3} [/tex]

[tex] = \frac{6}{9} [/tex]

[tex] = \frac{2}{3} [/tex]

Substitute m= ⅔ into the equation:

y= ⅔x +b

From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).

Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.

When x= 6, y= 2,

[tex]2 = \frac{2}{3} (6) + b[/tex]

2= 4 +b

b= 2 -4

b= -2

Thus the equation of the line is y= ⅔x -2.


Related Questions

simplify:
16a^2 ÷ a + 3a × 2
and
8x − 3 + 6x

Answers

Answer:

36a and 2x-3.that is the answer

Solve the Equation [tex]\frac{5}{2}[/tex] · X = 1

Answers

[tex]\dfrac 52 \cdot x = 1\\\\\implies 5x = 2\\\\\implies x = \dfrac 25[/tex]

Answer:

5/2

Step-by-step explanation:

I need help. I don't even know where to start, or what to do. Can someone explain?​

Answers

Answer:

You can follow the image attached. (Although not 100% accurate, since it is roughly an estimate of where the values are.)

Basically, you will indicate with dots (or crosses) the points which fulfill the data in the table. In this case, the x-axis will be the average temp and the y-axis will be the date in april trees bloom.

For example, you can roughly estimate where 1.5 in the x-axis, and follow to find 28 in the y-axis for the first set of data, and continue this for all 8 points.

Yall i need help asap! please help me. ​

Answers

Refer the attachment please

Hope it helps

Best of luck

Consider the following proportion:

2
7
=
12
x
Use cross products to write the equation: 2x = 84.

What is the value of x?

Answers

Answer:

x=42

Step-by-step explanation:

divided by 2 equals 42 first you have to dive x by 2 and do the same for 80

What is the value of the expression
1/4 (16 + 9)-h

when g = 4 and n = 2?
o
B)
5
OC) 3
D) 5

Answers

1/4(16+9)-2

1/4(20)-2

5-2

3

PLS HELP RN ASAP!!!!

Answers

Answer:

3b

Step-by-step explanation:

Here are the first 5 terms of a
quadratic sequence.
3, 18, 41, 72, 111
Find the nth term of the sequence

Answers

Answer:

15n - 12

Step-by-step explanation:

18 ----> 3 = 15

3 -15 = -12

the reciprocal of 11/12​

Answers

Answer:

12/11

Step-by-step explanation:

just turn it around

Just make it 12/11


How it’s the answer:
I agree just turn it around

please help i will make you brainliest

three step equations

Answers

Answer:

6:

x=  6(y−2)/5

8:a=−(b+c+4)

b=−(a+c+4)

Step-by-step explanation:

Evaluate: 5x + 1 when x = 2.

Answers

Answer:

answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

A school choir is made up of girls and boys in the ratio 4:3.There are 35 students altogether. How many students are boys. ​

Answers

Answer:

15 boys

Step-by-step explanation:

Step 1: Set up the equation.

[tex]4x + 3x = 35[/tex]

Step 2: Combine like terms.

[tex]7x=35[/tex]

Step 3: Divide both sides by 7.

[tex]\frac{7x}{7} =\frac{35}{7}[/tex] [tex]x = 5[/tex]

Step 4: Plug in the value of 5 for x in 3x.

[tex]3(5)[/tex] [tex]15[/tex]

Therefore, the answer is 15 boys.

At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50

Answers

Answer:

letter D

Step-by-step explanation:

it's my guess I think it's correct

guys i NEED your help if i cant answer this im DEAD ill give you 100 pts AND brainlest PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

The correct answer for this question is answer B

Answer:

B. 1 1/7

Step-by-step explanation:

- 9 2/7 - ( - 10 3/7) =- 9 2/7 + 10 3/7 = 10 - 9 + 3/7 - 2/7 = 1 1/7

Correct choice is B

3.
Use the quadratic function to predict f(x) if x equals 8.

f(x) = 25x^2 − 28x + 585

A. f(8) = 2201

B. f(8) = 2679

C. f(8) = 1614

D. f(8) = 1961

Answers

Answer:

D. f(8) = 1961

Step-by-step explanation:

i know the answer it is i think

To predict f(x) when x equals 8 we simply substitute.  

So f(x) = 25x2 28x + 585  

f(8) = 25 (8)^2 - 28 (8) + 585

f(8) = 25 * 64 - 224 + 585

f(8) = 1600 - 224 + 585 = 1961

Hencse f(8) = 1961

Hloo friend^_^..___

Q= f(x) = 25x2 − 28x + 585

Solution

________

f(8) = 25*(8)^2 - 28*8 + 585

= 25*64 - 224 + 585

= 1600 - 224 + 585

= 2185-224

= 1961 Ans...

So the correct ans is f(8) = 1961...

I HOPE ITS HELP U MY FRIEND..^_^

BE BRAINLY..

factorise

3a^2+8a+4


someone help​

Answers

Answer:

(3a+2) (a+2)

Step-by-step explanation:

3a²+8a+4

ur sum is 8

ur product is 12

6x2 = 12

6+2=8

3a²+6a+2a+4

3a(a+2)+2(a+2)

(3a+2) (a+2)

Start by writing (3a + ) (a + )
+ is determined by the + in the problem
Next think of a number that will multiply to get 4 and add to get 8 (this is multiplied by 3)
The answer is:
(3a + 2) (a + 2)
To check the work expand it to find you get the original function again

Zachai finishes the level in 154 seconds. how many bonus points did Zachai earn.

Answers

Answer:

154 bonus points.

Step-by-step explanation:

35,000 is invested at 5% compound interest.What is the interest at the end of three years​

Answers

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

solve the equation.

1/2x^2=32

Answers

Answer:

x = ± 8

Step-by-step explanation:

[tex]\dfrac{1}{2}x^{2}=32[/tex]

Multiply the equation by 2

x² = 32*2

x² = 64 = 8²

x = 8

HELPP ME OOOO ???


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Answers

Answer:

5 = k2

k = 2.5

happy learning

Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?

Answers

Answer:

Each friend contributes 8 dollars

Step-by-step explanation:

200 ÷ 25 = 8 dollars

so each friend contributes 8 dollars

Answer:

Each person contributes $8

Step-by-step explanation:

200/25= 8

10-(-x)=-5
How do I find out what x is

Answers

Answer:

x=-15

Step-by-step explanation:

10-(-x)=-5

10+x=-5

x=-5-10

Answer:

x = -15

Step-by-step explanation:

A negative times a negative equals a positive, so it's just positive x. After that, isolate the variable.

help meee plzzz
help me

Answers

Answer:

I only know the second one sooorrry

if you say its classification so that type of traingle is obtuse triangle

Step-by-step explanation:

Use the diagram to the right for questions 16 - 20.
MNP ~ SRP

Answers

Answer:

16) 16/3

17.) ength of PM = 20/3

18.) 60

19.) 30

20.) true

Step-by-step explanation:

4/6 = x/8

32/6=x

16/3=x

4/6 = x/10

20/3 = x

The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help

Answers

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.

Triangles ABC has vertices A(1,-1) B(1,-5) and C(5,-5). A dilation with a scale factor of 0.25 and true center at (-3,3) is applied to the triangle. What are the coordinates of A’B’C’ in the dilated image?

Answers

Answer:

A'(-2, 2)B'(-2, 1)C'(-1, 1)

Step-by-step explanation:

For scale factor k and center of dilation (p, q), the transformation is ...

  (x, y) ⇒ (kx +(1-k)p, ky +(1-k)q)

For k=1/4 and (p, q) = (-3, 3), the coordinates are transformed to ...

  (x, y) ⇒ (1/4x -9/4, 1/4y +9/4)

Then the preimage points are dilated to ...

  A(1, -1) ⇒ A'(1/4 -9/4, -1/4 +9/4) = A'(-2, 2)

  B(1, -5) ⇒ B'(1/4 -9/4, -5/4 +9/4) = B'(-2, 1)

  C(5, -5) ⇒ C'(5/4 -9/4, -5/4 +9/4) = C'(-1, 1)

What are the terms in the expression 4 + 9V +6w?

Answers

Answer:

4, 9v, and 6w

Step-by-step explanation:

I'm pretty sure it's right

i wil make u brainliest
help help help

Answers

Answer:

I can only answer ii.

A=Lxwxh

=6mx3mx4m

=18mx4m

A=40msquared .

A=Lxwxh

40msquared = 6mx3mxh

40msquared =18msquaredxh

40/18msquared=18xh/18msquared

131/3=h.

that's what I thought

Step-by-step explanation:

I think I should first find the area

of the figure.then I will use the area to find the height.

Part A
Fill in the blank question.
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.

Complete each statement.

There are actually __________counties.

The amount of error in Pedro's estimate is____________.

Listen to the complete question
Part B
Fill in the blank question.
What is the percent error in Pedro's estimate? Round to the nearest tenth percent.

percent error: ___________%

Answers

Answer:

254 in the first blank

Step-by-step explanation:

There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

What is Percentage?

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

Given that

There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.

There are actually 254 counties.

The amount of error in Pedro's estimate is 4.

Now we need to find percent error in Pedro's estimate.

4/254×100

=0.0157×100

=1.574%

Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

To learn more on Percentage click:

#SPJ5

37,162 Divided by 10 to the third power equals what

Answers

Answer:

37.162

Step-by-step explanation:

We know that 10 to the third power is 10³ = 1000. When a number is divided by 1000, the decimal point is moved 3 digits to the left. Therefore, we can get 37,162/1000 = 37.162

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