A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?​

Answers

Answer 1

Hello there! :)

First, let’s find the slope.

We can find it using this formula:

m=y2-y1/x2-x1

m=7-6/8-4

m=1/4

So the slope is 1/4.

Now, we can use the point-slope formula:

y-y1=m(x-x1)

y-6=1/4(x-1/4)

Hope it helps. :)

~MagicalNature


Related Questions

The mean of 16, X, 3, 14,57 is 22. Find
Х

Answers

Answer:

20

Step-by-step explanation:

Given,

The mean of 16, X, 3, 14, 57 is 22.

Therefore,

(16+X+3+14+57)/5 = 22

(16+X+3+14+57) = 110

(90+X) = 110

X = 110-90

X = 20

The value of x will be 20.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mean of set 16, X, 3, 14, 57 is 22.

Now,

Since, The mean of 16, X, 3, 14, 57 is 22.

Hence, By definition of mean we get;

⇒ 16 + X + 3 + 14 + 57 / 5 = 22

Solve for x as;

⇒ 90 + X / 5 = 22

⇒ 90 + X = 22 × 5

⇒ 90 + X = 110

⇒ X = 110 - 90

⇒ X = 20

Thus, The value of x will be 20.

Learn more about the mathematical expression visit:

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The Shanghai Maglev Train takes 8 minutes to travel a distance of 30.5 kilometres.

Work out the average speed of the train.

Answers

Answer:

228.75 km/h

Step-by-step explanation:

average speed = total distance / total time

The Average speed is 228.75 Km/h.

What is speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / Speed,

Given:

Distance= 30.5 Km

Time= 8 min

       = 8/60 hr= 2/15 hour

Now, Average speed= Distance / time

                                  = 30.5 x 15/2

                                 = 228.75 Km/ h

Learn more about average speed here:

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7.
Adam purchased 52 litres of gas for $58.71. How much was one litre of gas? (Round to
three decimals)

Answers

Answer:

$1.129

Step-by-step explanation:

Will the given side lengths from a right triangle?yes or no 4.5,6and 7.5

Answers

Yes it is possible.

- BRAINLIEST answerer

Calculate the values of a, b and c. Give reasons for your answers.
Quickly plsss
50 points

Answers

a = 70°

b = 55°

c = 40°

Select the two values of x that are roots of this equation.
x² + 2x - 4 = 0
O A. x= -1 - 15
B. x= -1+5
C. X=-1-215
D. x = -1+2-15

Answers

Answer:B and c

Step-by-step explanation:

Plzzz help meeeeeplzzz

Answers

Answer:

1 1 0 0 1 1 (base 2)

Step-by-step explanation:

Do it as a common sum operation, remember that when you have 2 or more you need to carry over.

A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data What is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:

Answers

Answer:

35

Step-by-step explanation:

210 - 175 = 35

175 - 140 = 35

140 - 105 = 35

105 - 70 = 35

I hope this helps!

What is the solution of 2x-5(x-4)=-8+5x-12.

Answers

Answer:

x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Solve the equation.
−43p+6=12

Answers

Answer:

Step-by-step explanation:

-43p+6=12
Subtract 6 and 12
-43p=6-12
Then divide both sides by -43 to get the variable by itself
-43p=6
Answer
-6/43

Solve the simultaneous equations
x + y = – 6
-x + 2y = 15

Answers

Answer:

x = -9, y = 3

Step-by-step explanation:

I hope it helps!

the length of a cuboid is 3 times of it's height and it's breadth is 2 times it's height if the volume of the cuboid is 48000cm cube, calculate it's dimensions​

Answers

Answer:

The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.

Step-by-step explanation:

Let,

The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.

Now, substuting all the given values in the formula to find the value of x.

[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]

➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height

[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]

Hence, the value of x is 20.

Now, we know the value of x. So, calculating the dimensions of cuboid :

Length = 3x

➝ 3 × 20➝ 60 cm

Breadth = 2x

➝ 2 × 20➝ 40 cm

Height = x

➝ 1 × 20➝ 20 cm

[tex]\rule{300}{2.5}[/tex]

sir? sir? are u there? help me -_-

Answers

Answer:

a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.

However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]

b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.

However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]

SnackTime Foods produced 3,181,990 grams of popcorn last year, which was placed in 7- gram bags. How many bags did the company fill? bags Submit​

Answers

Answer:

The company filled 454570 bags.

Step-by-step explanation:

somebody know the formula of a trapezium?

Answers

Hello There!

The formula for finding the area of a Trapezium is as follows.

A = a + b over 2, h

The first base being = a

The second base being = b

and the height being = h

So to solve plug in the values as described below.

a + b = ab

ab divided by 2

ab- times h

ab-h = Area

I hope I helped!

Brainliest is always appreciated.

solve pls brainliest

Answers

Answer:

1)36

2)1/36

Step-by-step explanation:

Hope it can help you lovelots

what is the equation of a line that passes through the points (6,9) and is perpendicular to the line

Answers

Answer:

the line is perpendicular to what line you didn't mention that

Step-by-step explanation:

If you are to
evaluate your life now using polynomial functions , how will you
look at it?

Answers

I am not sure what the question is… but thanks for the points.

Alex washed 10 1/2 windows in 3/4 hour. At this rate, how many windows can he wash in one hour?

Answers

Answer:

In an hour, Alex can wash 14 windows.

Step-by-step explanation:

10 1/2 windows per 3/4 hour

per usually means a / sign because you are finding the unit rate

10.5/0.75 (I just converted everything into a fraction to make it easier)

solve:

10.5/0.75 = 14

Another way to solve:

10 1/2 / 3/4

= 21/2 * 4/3

= 21*4/2*3

= 84/6

= 14

Check:

If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour

14*3/4

=42/4

=10.5

10.5 is the same as 10 1/2

what is 3 square root of 64

Answers

Answer:

24

Step-by-step explanation:

CALCULATE
(32/40×100%) =??
NO SPAM PLEASE ,ಠ_ʖಠ
I WILL MAKE BRAINLIEST WHO WILL ANSWER CORRECT ( ╹▽╹ )​

Answers

Answer:

[tex] \frac{32}{40} \times 100[/tex]

[tex] \frac{32}{4} \times 10[/tex]

[tex]8 \times 10[/tex]

[tex]80[/tex]

80 is the answer

Answer:

(32/40×100%)= x

(32/ 40 ) × 100 = x

0.8 × 100 = x

x = 80

(32/40×100%)= 80

A. Wealth
B. Level of living
C. liquidity
D. Assets

Answers

Answer:

D: assets.

Step-by-step explanation:

what is the value of this expresston 3(s^3-6s) + 4t^2 when s=5 and t=3

Answers

321
.
Substitute: 3 · (53–6.5)+4. 32
Calculate the power: 3x(125–6x5)+4x9
Calculate the product or quotient: 3x(125
-30)+4x9
Calculate the product or quotient: 3x(125
-30)+36
Calculate the sum or difference: 3x95+36
Calculate the product or quotient: 285+36
Calculate the sum or difference: 321

Answer: 321

Answer:

321

Good Luck!!

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To make 100g of jam you need 57g of strawberries, 17g of blackberries and the rest should be sugar.
What is the ratio of blackberries to sugar?
Give your answer in its simplest form.

Answers

1. We have to find the mass of sugar in 100g of jam: 100 - (57 + 17) = 26g of sugar

2. Now, we can write the ratio of blackberries to sugar as 17:26. This can’t be simplified

Answer = 17:26
Hope this helps

3.) What would 9 gallons of gas cost at $2.12 per gallon? *
$18.80
O $17.56
$19.08
$11.12

Answers

Answer:

19.08

Step-by-step explanation:

each gal = $2.12

gals filled = 9

9 x 2.12 = 19.08

a doubles tennis court measures (7x+8) ft in length and (3x+6) ft in width. which expression represents the area of the court

Answers

If the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Recall:

Area of a rectangle = length x width

Given the algebraic expressions for the dimension of the rectangular court as:

length = (7x + 8) ft

width = (3x + 6) ft

Therefore,

Area = [tex](7x + 8) \times (3x + 6)[/tex]

Apply the distributive property

[tex]Area =7x(3x + 6) +8(3x + 6)\\\\Area = 21x^2 + 42x + 24x + 48\\\\[/tex]

Add like terms

[tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Therefore, if the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Learn more here:

https://brainly.com/question/17041379

  A ticket to see your favorite baseball team costs ​$. 45.04That price decreases by ​$0.24for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses 41 games. What is the price of a ticket after the team loses 41 ​games?

Answers

Answer: 1. $45.04-L$.24=C
2. $32.20 for a ticket after 41 loses.

ANSWER ASAP WILL AWARD BRAINLIEST

Answers

Answer:

Pretty sure the answer is 9−4√3

[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]

pLS HELP ME 15 points in total

Answers

Answer:

Its 53 because 1=1 and 2=2

Step-by-step explanation:

Miss Rudolph recorded the change in temperature of a cooling liquid as -27.5 Fahrenheit over 2.5 minute. The temperature fell at a constant rate what was the rate of change in the temperature

Answers

Step-by-step explanation:

how many cups of water do you need to fill in one jar maths

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