The points (2, 5) and (6,-3) fall on a particular line. What is its equation in slope-intercept form?

y = -2
x+ ?

Answers

Answer 1

Answer:

y = -2x + 9

Step-by-step explanation:

slope intercept form : y = mx + b

where m = slope and b = y intercept

first let's find the slope

slope formula :

[tex]m = ( \frac{y2 - y1}{x2 - x1} )[/tex]

where the x and y values are derived from the given points

here we are given (2,5) and (6,-3)

(x1,y1) = (2,5) so x1 = 2 and y1 = 5

(x2,y2) = (6,-3) so x2 = 6 and y2 = -3

we now plug these values into the formula

recall formula

[tex]m= ( \frac{y2 - y1}{x2 - x1} )[/tex]

plug in x1 = 2, y1 = 5, x2 = 6 and y2 = -3

m = (-3 - 5) / ( 6 - 2 )

m = (-8)/(4)

m = -2

the slope is -2

now to find the y intercept we plug in the slope and the x and y value of a given point into slope intercept form and solve for b

y = mx + b

given point : (2,5) x = 2 , y = 5, m = -2

5 = -2(2) + b

5 = -4 + b

9 = b

so the equation would be y = -2x + 9


Related Questions

2p^1/3=6 find the value pf p

Answers

Answer:

27

Step-by-step explanation:

Fill in the table using this function rule.
y = 25 – 4x

Answers

To fill the table for the function we consider all values of x subbed in to the equation

y = 25 – 4x

Filling a graph table

Generally, To fill a graph table with an equation we are usually give the independent factor in this case is the values of x

Therefore, to fill the table for the function we consider all values of x subbed in to the equation

y = 25 – 4x

For more information on  Graph

https://brainly.com/question/14375099

Jan has ridden 357 miles of the Tour de France bicycle race and is 17% finished with the race.

Answers

Answer: 2100

Step-by-step explanation:

Portional

Answer:

2099.88 Rounded: 2100

Step-by-step explanation:

100/17 = 5.88

337 X 5.88 = 2099.88

Rounded: 2100

Have a good day!

A pen costs twice as much as a pencil. If 7 pens and 12 pencils cost $6.50, find the cost of a pencil.

I know the answer (pencil $0.25, pen $0.5), but I need to figure out how the answer is solved.

Answers

1. Observe the problem

2. Make a system of linear equations

x is pens

y is pencil

As stated in the text, x=2y

x=2y

7x+12y=6.50

Using substitution,

7(2y)+12y=6.50

14y+12y=6.50

26y=6.50

y=0.25

Substituting it back into the first equation:

x=2(0.25)

x=0.5y=0.25

Find the values of x and
and y

Answers

Answer:

y is 90 and x is 180

Step-by-step explanation:

hope this helps srry if its wrong ;-;

Solve. This for me I need help!

Answers

Answer:

D) 53°

Step-by-step explanation:

Angles AEB and BEC are supplementary.

This means they add up to 180°.x + 127 = 180

Step 1: Subtract 127 from both sides.

[tex]x+127-127=180-127[/tex]x + 127 - 127 = 180 - 127x = 53

Therefore, the answer is 53°.[tex]x+127-127=180-127[/tex]

Can u help me plssss?

Answers

Answer:

You need to find the area of this shape. You will split the shape into 2 the big rectangle and the small one sticking out of the bottom.

For the first shape, it is 11 x 3 = 33

For the second one, it is 2 x 3 = 6

33 + 6 is 39, so the area is 39

Which are perfect squares? Check all that apply.
•72
•36
•8
•16
•81
•64
•48

Answers

Answer:

64, 16, 36, 81

Step-by-step explanation:

[tex]\sqrt{16} = 4[/tex][tex]\sqrt{36} = 6[/tex] [tex]\sqrt{64} = 8[/tex][tex]\sqrt{81} = 9[/tex]

Answer:

Step-by-step explanation:

.36 = .6^2

.16  = .4^2

.81  = .9^2

.64 = .8^2

Find the slope of the graph below
(1.1)
(3,0)
3
Oo
0-1/2
2/1

Answers

The answer is b -1/2 because you have your formula for slope which is m=y2-y1 over x2-y1 and if you plug in your coordinates (1,1) (3,0) you get 0-1 for the y and 3-1 for the x and if you do that math you get -1/2 which is b anyways hope this helped as somone who is had at math this was the easiest lesson for me to understand so If I can help you in any way let me know !

Im having a rough day so just please dont put links or files..

Answers

Answer:

The answer is 9

Step-by-step explanation:

I hope you have a better day! ;)

Answer:

9

Step-by-step explanation:

Because 3^2 is 3*3

that gives you 9

1 Look at the figure
289 cm
15 cm
15 cm
Which of the following correctly completes
the diagram to represent the Pythagorean
Theorem?
4 cm
cm
AO
because 289 - 15% - 2
22 cm
B
22 cm
because 289 +15-22
12 cm
12 cm
с
because 289 -15+ 122
D
cm
because 289 - 82 + 15

Answers

Answer:

  D. 8-cm square

Step-by-step explanation:

The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...

  289 -225 = 64

Its side dimensions will be √64 = 8 cm.

The diagram is correctly completed by the 8 cm square.

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. M³.

Answers

The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.

The area after the dilation.

Dilated area = (Dilation)² x base area

Dilated area = 32² x 3

Dilated area = 3072 m²

The height after the dilation.

Dilated area = Dilation x base area

Dilated area = 32 x 4

Dilated area = 128 m

The volume of the dilated prism.

Volume = 3072 x 128

Volume = 393216 m³

The volume of the dilated prism is 393,216 m³.

More about the dilation link is given below.

https://brainly.com/question/8652140

Answer:

40.5

Step-by-step explanation:

The person who commented on the first answer is correct. I took the quiz.

:)


PLEASE HELP EMERGENCY 50 POINTS

Answers

Perimeter of a rectangle:

2(2x+7+x-5)=2(3x+2)=6x+4

Perimeter of a triangle:

x+2x+2x+11 = 5x+11

6x+4=5x+11

x=7

Find the difference (6x^3-5x^2+14x+3) — (3x^3–2x^2+7x—2)

Answers

3x ^3 −3x ^2 +7x+5 this should be correct

How to solve?somebody help and explain

Answers

Solve all or some of the answers

Part 1 of 12
The table below shows the length and weight of a species of fish. Complete parts (a) and (b).
Red Length (in.)
Weight (lb)
Fish Lengths and Weights
4
6
8
1.24 1.45 1.70
10
1.99
12
2.33
(a) Find an exponential model for the data.
1)
The exponential model for the data is y=
(Use integers or decimals for any numbers in the expression. Round to three decimal places as
Frr

Answers

The exponential function is given by y = 0.9(1.082)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the fish weights at x inches.

Using point (4, 1.24):

1.24 = ab⁴   (1)

Using point (10, 1.99):

1.99 = ab¹⁰  (2)

From equation 1 and 2:

b = 1.082, a = 0.9

The exponential function is given by y = 0.9(1.082)ˣ

Find out more on Exponential function at: https://brainly.com/question/12940982

Aiden has a coin collection. He keeps 7 of the coins in his box, which is 20% of the collection. How many total coins are in his collection?

Answers

Answer:

Total coins are in his collection is 35 coins

Step-by-step explanation:

In his box = 7 coins

7 coins is 20% of the collection.

Total Coins :

7 ÷ 20%

[tex] \tt7 \div \frac{20}{100} [/tex]

[tex] \tt{7 \times \frac{100}{20} }[/tex]

[tex] \tt{7 \times 5}[/tex]

35 coins

Proof :

35 × 20%

35 × 1/5

35 ÷ 5

7

Find the cost of leveling a badminton court 132m long and 58 m broad at the rate of Rs. 80 per sq. m.

Answers

Answer:

Rs. 612,480

Step-by-step explanation:

Hi there,

Here the question asks us to find the cost of leveling a badminton court at the rate of Rs.80 per sq..

So by the word leveling we know that we have to find the area of the court in order to proceed further.

(I am assuming the court to be rectangular in shape).

Area of a rectangle = Length * Breadth

*Length = 132 meters

*Breadth = 58 meters

==> 132*58= 7656 m^2

So now that we got the area of the badminton court lets find the cost of leveling it ==>

Cost of leveling per meter^2 = Rs. 80

Area = 7656 m^2

==> 7656 * 80 = 612,480

So the cost would be Rs. 612,480

If you found this answer helpful please mark me as brainliest.

Please help me I need it

Answers

I am pretty sure it’s 120%

Answer:

112%

Step-by-step explanation:

percentage change value formula

c2 =  X2  -  X 1       X   100

             X1                   1

WHERE,

C2 = RELATIVE VALUE

X2  = FINAL VALUE  ( TODAY'S VALUE)  = 32,860

X1 = INITIAL VALUE  (1992 VALUE) = 15,500

PERCENTAGE CHANGE = 100

C2 =   32860  -   15500   X   100

                 15500                    1

=    17, 360       X 100

     15,500                 = 1.12 X 100 = 112%.

Please answer my question, its in the image.

Answers

Answer:

6 4/9

Step-by-step explanation:

[tex]\frac{4}{9} + 5 * 2 - 4[/tex] [tex]\frac{4}{9} + 10 - 4[/tex] [tex]10\frac{4}{9} -4[/tex] [tex]6\frac{4}{9}[/tex]

Answer:

6 4/9

Step-by-step explanation:

i hope this help have a nice day

What is the value of the missing angle?

Answers

Answer: 60 degrees

Step-by-step explanation:

Angle sum of a triangle: 180 degrees

70+50=120

180-120=60

Straight line: 180 degrees

180-60=60 degrees

Answer:

120

Step-by-step explanation:

Add all the inner angles, 70+50=120. 180-120 = 60. The angle is a supplementary angle, so 180-60 = 120.

Guys helpp!

Choose the first step to Graph The equation Y equals 3x +2

Answers

2 is the y-intercept so plot that on the graph

The table shows the prices for Two packs of batteries which park is better buy explain your reasoning

Answers

Answer:

A=0.61:1 B=0.65

Step-by-step explanation:

B is the better deal.

Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10. –10 < |3x – 5| < 10 3x – 5 > –10 or 3x – 5 < 10 3x – 5 < –10 or 3x – 5 > 10 –10 < 3x – 5 < 10.

Answers

The compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

What is magnitude and sign?

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

|x| = magnitude of x.

Thus, |3x-5| > 10 is true if (3x-5)  < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)

or (3x-5) > 10

(in case if (3x-5) is non-negative).

Thus, the compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

Learn more about compound inequalities here:

https://brainly.com/question/4688732

Answer:

it’s C trust me

Step-by-step explanation:

AlMarai, a beverage company is planning to change its juice package size. Currently, there are 9 ounces of juice in each package. The new package will contain 14 ounces. What percent more juices will be in the new package

Answers

The percentage of more juices that will be in the new package is 35.71%

What are word problems?

Word problems in mathematics are things happening in our daily life and we can use mathematical concepts and arithmetic operations to put a solution to those things.

From the given information, it was stated that:

Almarai usually have 9 ounces of juice in each package, whileTheir new package will contain 14 ounces.

Our objective is to find the percentage of more juice that will be in the new package.

The percentage of more juice in the new package will be:

[tex]\mathbf{=\dfrac{14 - 9}{14} \times 100 \%}[/tex]

[tex]\mathbf{=\dfrac{5}{14} \times 100 \%}[/tex]

= 35.71%

Learn more about word problems here:

https://brainly.com/question/21405634

To prepare for a bake-off, Lee used 640 grams of flour each day for 4 weeks. How many kilograms did Lee use in those 4 weeks?

Answers

1week = 7days so
4weeks = 28 days
So 28 x 640 = 17920

1000grams = 1kg

17920 divide 1000 =17.92

Lee uses 17.92kg in those 4weeks

PLEASE HELP W THIS WILL GIVE BRAINLIST TO BEST ANSWER AND EXTRA POINTS
!!!!!ONLY A!!!!

Answers

Answer: 1545

Step-by-step explanation: not 100 but i hope this helps you :D

what’s the answer to this problem?

Answers

Hey there!

2^5 /6^5


2^5

= 2 * 2 * 2 * 2 * 2

= 4 * 4 * 2

= 16 * 2

= 32


6^5

= 6 * 6 * 6 * 6 * 6

= 36 * 36 * 6

= 1,296 * 6

= 7,776


= 32 / 7,776

= 32 ÷ 32 / 7,776 ÷ 32

= 1 / 243

≈ 2^5 × 6^-5


Therefore, your answer is: 2^5 × 6^-5

(Option D.)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Put these into Slope-Intercept Form
x – y = –2
x – y = –4

Answers

Answer:

y=x+2

y=x+4

slope intercept form is y=mx+b

Simplify 5x + 2x + 7x.


(14 x) 3

14 x

14 x 3

Answers

Solution:

Combine like terms and solve the expression.

=> 5x + 2x + 7x=> x(5 + 2 + 7)=> x(14)=> 14x

The solution to the problem is 14x.

Answer:

14x

Step-by-step explanation:

5x + 2x + 7x ← factor out x from each term

= x(5 + 2 + 7)

= 14x

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If overall product quality did not suffer, what variance amount is best used in judging the appropriateness of the purchasing manager's decision to acquire substandard material?