The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

(x₁, y₁)(x₂, y₂)

Using the formula  to determine the slope between (x₁, y₁) and (x₂, y₂) of the linear function

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

For example, let the points be

(x₁, y₁) = (1, 2)

(x₂, y₂) = (3, 4)

Determining the slope between

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 1]

               = 2 / 2

               = 1

Thus,

The slope of the line between the points (1, 2)  and (3, 4)  will be: m = 1


Related Questions

I need help what is 15 times 238

Answers

Answer:

hello.....................

Step-by-step explanation:

Answer:

3,570

Step-by-step explanation:

why did you not look it up on the internet lol

The farmer down the street has an orchard with both orange and grapefruit trees. Over the weekend, she collected 49 oranges and 84 grapefruits. She wanted to make baskets to sell at the local farmer's market with an equal number of oranges and grapefruits in each basket. What is the greatest number of baskets she can make.

Number of baskets she can make with an equal number of fruits in each basket?

Number of oranges in each basket?

Number of grapefruits in each basket?

Answers

Answer:

30 baskets

Step-by-step explanation:

Find the gfc of 150 and 240, you'll find that it is 30

A number cube has sides numbered 1 through 6 the probability of rolla 2 is 1/6 what is the probability of not rolling a 2

Answers

Answer:

5/6

Step-by-step explanation:

It would be 5/6 because there are 5 possible answers other than 3 making it 5/6

Including Jose, there are eight people in his family. If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

Answers

Answer:

840 ways

Step-by-step explanation:

From the above question, we are told that order matters, hence, to solve the above question, we use the Permutation formula.

P(n, r) = nPr = n!/(n -r)!

From the above question,

Since Jose is included in the 8 people and he takes the first seat

n = 8 - 1 = 7 people

r = 5 - 1 = 4 seats

This is because, once Jose takes the first seat, there are 4 seats left with 7 people waiting to be seated

Hence,

7P4 = 7!/(7 - 4)!

7P4 = 7!/3!

7P4 = 5040/6

7P4 = 840 ways

Answer:

840

Step-by-step explanation:

edg 2021

Write 4:1 in the form 1:n

Answers

Answer:

it wil be equal to :

1 : 0.25 or 1 : 1/4

Answer:

1:0.25

Step-by-step explanation:

To get the left from 4 to 1 we have divided by 4. This means we also have to divide the right side by 4. 1/4 = 0.25

Helena makes 500$ per week, and she puts 15% of her paycheck in savings. How much money does she put in savings

Answers

Answer:

75$

Step-by-step explanation:

[tex]500(0.15) = 75[/tex]

75 is your answer!!!!!!!!!!!!!!!!!!!!

24 yd = ___ ft
SHOW WORK PLEASE I WANNA KNOW HOW TO DO IT ILL BE SO HAPPY BC IM KINDA CONFUSED

Answers

Answer:

72

Step-by-step explanation:

1 Yard is 3 Feet

Since we know this we Multiply 3 by 24.

Hope this helps   ▼・ᴥ・▼

Answer:

72ft

Step-by-step explanation:

1 yd = 3ft

so you would do 24 times 3 to get 72

Find the value of x, giving reasons for your answer:

Answers

Answer:

x = 55

Step-by-step explanation:

[tex](x + 40) \degree = (150 - x) \degree \\ (vertical \: \angle s) \\ \\ x + 40 = 150 - x \\ \\ x + x = 150 - 40 \\ \\ 2x = 110 \\ \\ x = \frac{110}{2} \\ \\ x = 55[/tex]

Answer:

x = 55°

Step-by-step explanation:

When any 2 lines intersect each other at one point , the vertically opposite angles are always equal. Hence ,

[tex]150 - x = x + 40[/tex]

[tex] = > x + x = 150 - 40[/tex]

[tex] = > 2x = 110[/tex]

[tex] = > x = \frac{110}{2} = 55[/tex]

Work out the surface area of the solid cuboid
H=2cm
W=4cm
L=5cm

Answers

Answer:

total surface area = 76 sq.cm

Step-by-step explanation:

total surface area of cuboid = 2 ( lb + lh + bh )

( where l is length , b is width and h is height )

so, surface area :

= 2[ (5×4) + (5×2) + (2×4) ]

= 2 [ 20 + 10 + 8 ]

= 2 × 38

= 76 sq.cm

Write a unit rate for the following situation. $54 for 3 every guests

Answers

Answer:

Step-by-step explanation:

It's 18 dollars per guest with 54:3

Write an equation of a line with slope -3/2 and x-intercept (4,0)

Answers

Answer:

An equation of a line with slope -3/2 and x-intercept (4,0) will be:

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given

Slope m = -3/2x-intercept (4, 0)

now substitute m = -3/2 and the point (4, 0) in the slope-intercept form of line equation

[tex]y = mx+b[/tex]

[tex]0\:=\:-\frac{3}{2}\left(4\right)\:+\:b\:\:\:\:\:[/tex]

[tex]-6+b=0[/tex]

Add 6 to both sides

[tex]-6+b+6=0+6[/tex]

Simplify

[tex]b=6[/tex]

Thus, the y-intercept b = 6

now substitute m = -3/2 and b = 6  in the slope-intercept form of line equation

[tex]y = mx+b[/tex]

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Therefore, an equation of a line with slope -3/2 and x-intercept (4,0) will be:

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

A farmer estimated that there were 25 gallons of water left in the tank. If this is an understatement by 16%, how much water was actually left in the tank

Answers

Answer:

29.76 is ur answer

Step-by-step explanation:

Which expression is equivalent to –8 a (-4+2) b (-4-3) c (-4-2) d
(-4+1)​

Answers

Answer:

(-4-4)...............

(-16+8)..............

Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.What is the perimeter of the largest triangle?

Answers

Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

Longest side = 20 units

Longest side of larger triangle = 52 units

Sides of two similar triangles are proportional.

Let k be proportionality constant.

[tex]k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}[/tex]

[tex]k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}[/tex]

Length of other two sides,

[tex]10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}[/tex]

So sides of larger triangle = 52 units, 26 units , 39 units

Perimeter of largest triangle = 52 +26+39 = 117 units

Hence, the perimeter of the largest triangle = 117 units.

2 < X < 8
x is an integer.
Write down the possible values of x.

Answers

answer: 3, 4, 5, 6, 7

What is the measure of AngleEDH? 10° 40° 50° 90°

Answers

50 ndbdndnncnchchchchchc

Answer:

50

Step-by-step explanation:

Frank Catton, the general manager of Billybob's floating raft hotel and Casino in Tunica Mississippi, has installed the "The Wheel of Doughnuts" at the check in desk. When you check in, you spin the wheel and a plate containing that many hot

doughnuts is delivered to your room the next moming for free. If your spinlands on an orange slot you get free hot chocolate too

(Give a fraction or round to 1 decimal place)

A. What is the probability that you get 7 doughnuts and hot chocolate? I

8. What is the probability that you get 7 doughnuts or hot chocolate?

Answers

Answer:

P( 7 doughnuts or hot chocolate)=0.40

Step-by-step explanation:

From the question we are told that

Total number of plates [tex]n=10[/tex]

1)Generally the probability that you get 7 doughnuts and hot chocolate is mathematically given as

7 doughnuts and hot chocolate= 1 slot

Therefore

P( 7 doughnuts and hot chocolate)= 1/10

P( 7 doughnuts and hot chocolate)= 0.10

2)Generally the probability that you get 7 doughnuts or hot chocolate is mathematically given as

P( 7 doughnuts or hot chocolate)=P(7 doughnuts)+P(hot chocolate)-P( 7 doughnuts and hot chocolate)

1 plates contains 7 doughnuts

P(7 doughnuts)=1/10

P(7 doughnuts)=0.10

4 plates contain hot chocolate

P(hot chocolate)=4/10

P(hot chocolate)=0.4

7 doughnuts and hot chocolate= 1 slot

P( 7 doughnuts and hot chocolate)= 1/10

P( 7 doughnuts and hot chocolate)= 0.10

Therefore

P( 7 doughnuts or hot chocolate)=0.10+0.4-0.10

Therefore

P( 7 doughnuts or hot chocolate)=0.40

The probability of getting 7 doughnuts or hot chocolate is 0.4

what is 5 divided by 3/4 in simplest form

Answers

6 2/3 i hope this helped you c:

The histogram shows how many pairs of sneakers are on sale at the local shoe store. How
many pairs of sneakers smaller than size 8 are on sale?
Sneaker Sale
Number of Palrs
20
18
16
14
12
10
8
6
4
2
0
2-4
5-7
8-10
11-13
Sneaker Size
14
22
37
49

Answers

Answer: 22

Step-by-step explanation:

2х + 3 +7+ 1 = simply the expression

Answers

Answer:

2x + 11

Step-by-step explanation:

2x stays by itself and the integers combine. (3+7+1 = 11)

Answer:

2x + 11

Step-by-step explanation:

you just add the 7 + 3 + 1 = 11

2x + 11

A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that: • He plans to drive 500 miles. • He has at most $210 to spend. What is the maximum number of days that Jaxon can rent the car while staying within his budget?​

Answers

Answer:

2 days

Step-by-step explanation:

According to the problem, calculations of given data are as follows,

Rental charges per day = $68.64

Rental per mile = $0.12

Total miles = 500

Total spend = $210

Let number of days = X

So, we can find number of days by using following equation,

($68.64 × X ) + ( $0.12 × 500) = $210

$68.64 X + $60 = $210

$68.64 X = $210 - $60

$68.64 X = $150

X = $150 ÷ $68.64

X = 2.18 or 2 Days

Ethan was able to save ₱220.00 in 5 days, spending only ₱25.50 of the allowance given him daily. How much allowance is he given a day?

Answers

Answer:

44 pounds daily

Step-by-step explanation:

Step one:

Given data

Ethan was able to save ₱220.00 in 5 days

He only spends ₱25.50 of the allowance given him daily

Required

His daily allowance

Step two:

if in 5 days he saves 220 pounds

then in 1 day he will save

=220/5

=44 pounds

Find the slope
1. (4,7) (-2,-5)

2. (-10,8) (-5,4)

3. (1,2) (3,9)

Answers

Answer:

1. m= 2

2. m= -4/5

3. m= 7/2

Step-by-step explanation:

Cynthia was paid 20 cents pr board for painting the fence. If she was paid $10 for painting half the boards, how many boards were there?

Answers

Answer:

100 boards

Step-by-step explanation:

Step one:

Given data

We are told that Cynthia was paid 20 cents per board for painting the fence

that is for 1 board painted she gets $0.2

If she was paid $10

let us find the number of boards she painted for $10

= 10/0.2

=50 boards

This means that the total boards were 50*2= 100 boards

The unit price of a shirt is $12. The cost, c, of n shirts is represented by the equation c = 12n. Select the value that belongs in the highlighted box.

$2
$3
$18
$48
$60
$72

Answers

answer is 60 i believe

what is the difference if you deduct 50.78 to 99.75

A. 49.97
B. 50.97
C. 48.97
D. 48.79

Answers

Answer: 48.97

Step-by-step explanation:

The answer is 48.97

This is the answer because if you subtract 99.75 -50.78 , this is the product with subtraction the higher number always comes first

Which angle is a vertical angle with O O O O

Answers

Answer:

angle AFB

Step-by-step explanation:

please make me billent

The answer is angle AFB

4x - 10 > 22 or x-5 < -6


I need to know how to do this step by step..

Answers

Answer:

x > 3 or x < -1

Step-by-step explanation:

4x - 10 > 22

     -10     -10

4x > 12

divide both sides by 4

x > 3

x - 5 < -6

   +5    +5

x < -1

Hope this helps!!!

Ok so the answer is x>8 the steps would be
Calculate 4x> 22+ 10
The divide from both sides 4x>32 then the answer would be x>8


Name two examples of quadrilaterals,

Answers

Answer:

square and rectangle

Step-by-step explanation:

Answer:

Squares, Trapezoids, Rhombuses, Kites, Parellelograms, or Rectangles

Step-by-step explanation:

"Quad" means that there is 4 sides on something, and all of these shapes have 4 sides, so obviously, that means they are quadrilaterals.

What i 9X3? what is the correct answer

Answers

the answer is 9x3= 27

The simplification of the given expression 9 x 3 is equal to 27.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is to determine the product of two or more numbers. If an event can occur in m different ways and if following it, that a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We don not write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together.

We are given the number as 9 x 3

WE can see that the number is multiple of 3

Therefore by using simplification we get;9 x 3 = 27

Hence, the answer is 27.

Learn more about multiplications;

https://brainly.com/question/14059007#SPJ2

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