Question
Enter an equation in point-slope form for the line.
(2, 4) and (3, 3) are on the line.
An equation of the line in point slope form is:

Answers

Answer 1

Given:

(2, 4) and (3, 3) are on the line.

To find:

The equation of line in point slope form.

Solution:

If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is

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

(2, 4) and (3, 3) are on the line. So, slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-4}{3-2}[/tex]

[tex]m=\dfrac{-1}{1}[/tex]

[tex]m=-1[/tex]

The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

[tex]y-4=-1(x-2)[/tex]

Therefore, an equation of the line in point slope form is [tex]y-4=-1(x-2)[/tex].


Related Questions

ahhhhhhhhh come on I'm so stupid

Answers

Answer:

1. -32

2. -46

Step-by-step explanation:

1. When muliplying a number with a postive number and a negative number the answer will be a negative number

2. When you have a negative number and when  you have a postive number and you are subtracting your answer has to be a negative answer

Answer:

cvgbnm,m

Step-by-step explanation:

bxxcvn vn

Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per hour, and Joshua can iron 25 shirts per hour. Luke worked 3 more hours than Joshua and they ironed 345 shirts between them. Determine the number of hours Luke worked and the number of hours Joshua worked.

Answers

It’s 48 because I worked it out on paper and got it right

Answer:

48

Step-by-step explanation:

I solved the problem step by step on paper and got it right

In triangle ABC, EG = x inches and BG = (5x - 12) inches. Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F. [Figure may not be drawn to scale] What is EB? 2 inches 4 inches 8 inches 12 inches

Answers

Answer:

12. Hope this helps!!!

Step-by-step explanation:

Answer: Option D

Step-by-step explanation: edge

reduce the ratio to its lowest form 18:81

Answers

Answer:

1:4.5 or 2:9 if you want it a whole number.

Step-by-step explanation:

81/18 = 4.5If your trying to get it to a whole number the answer would be 2:9 because 18/9 = 2 and 81/9 = 9 so 1:4.5 or 2:9.

Round 90.2844097979 to 3 decimal places.

Answers

Answer:

It would be 90.284.

Step-by-step explanation:

HELP GEO QUESTION THX... GIVE ME EXPLANATION PLZZZZZ THXXXXX SOO MUCCHHHH

Answers

E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.

When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.

Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.

From the reflective property, we can say EB = EB

---------------

Using these three facts

EC = ABangle EBA = angle BECEB = EB

to prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to

angle BEA = angle EBC

we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.

-----------------

In summary, we have proven:

EC is parallel to ABEA is parallel to BC

By the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.

52 = p - 3
what is p ?

Answers

Answer: P=55

Step-by-step explanation:

52=p-3

52+3= p+3

55=p (-3+3=0)

I'm giving branliest 2X - 3y = 12 in a standard and point slope form ​

Answers

In slope intercept form it is y=2/3x-4
In point slope form it is 2/3x-y-4 :)

PLSS help


the answer either has to be -3 , 1/2, 2, 3, 0 , 1 , -2 , 5 , undefined


Answers

Answer:

-3

Step-by-step explanation:

4-7/1-0

1-4/2-1

-2-1/3-2

3x+2y=0
x-5y=17
solve in a Solving Systems by Elimination

Answers

Answer:

The answer is below!

Step-by-step explanation:

I hope this helps!

Answer:

For the first one,"3x+2y=0". i got 5=0.

For the second one,"x-5y=17". I got 3x

Step-by-step explanation:

There are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls. What is the number of boys in the band

Answers

Answer:

61 boys

Step-by-step explanation:

x=girls

2x+5+x=89

3x+5=89

3x=84

x=28

28 x 2 = 56

56+5=61

The number of boys in the band will be 61.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.

The equation can be formed as below,

2x+5+x=89

3x+5=89

3x=84

x=28

The number of boys will be,

B = 2x + 5

B = 28 x 2 + 5

B = 56+5=61

To know more about an expression follow

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4.5 +(6y-3.5x)+7=
expression

Answers

The answer is x = -7 + -6y

Solve each multi-step linear equation
12-6x=-8x+7+7x

Answers

Answer:

1

Step-by-step explanation:

12-6x=-8x+7+7x

-6x+8x-7x=7-12

-5x=-5

X=5/5

X=1

So the value of X is 1

PLEASE HELP ME !

Determine the range of the inequality 4x2 + 3x - 10

Answers

Answer:

-22

Step-by-step explanation:

type it in google

Multiply out and simplify: (x + 6)(x - 2)

Answers

Answer:

x squared+4x−12

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 4x - 12[/tex]

Step-by-step explanation:

[tex](x + 6)(x - 2)[/tex]

[tex] = > x(x - 2) + 6(x - 2)[/tex]

[tex] = > {x}^{2} - 2x + 6x - 12[/tex]

[tex] = > {x}^{2} + 4x - 12[/tex]

write any 5 safety measures that should be followed while working at industry .​

Answers

inform supervisor of unsafe conditions, use equipment, tools, machines properly, wear safety equipment, prevent slips and trips, eliminate fire hazards.

Help me look at the picture

Answers

Answer:

it's B

Step-by-step explanation:

lol how do you not know this

Answer:

B

Step-by-step explanation:

Which notation best represents the phrase “at least 24”?

Answers

Answer:

less than or equal to 24

Step-by-step explanation:

this symbol ≤

its a mee again and I just wanted to ask

whats 10 divided by 9075

Answers

Answer:

0.00110192837

Step-by-step explanation:

Joshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number​

Answers

The is is algebra one or two please mark me

Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 + 8.
The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction + 8.
One of the steps to determining the value when n = 4 is 1 minus 2 + 8.
One of the steps to determining the value when n = 4 is 2 minus 1 + 8.
The value when n = 4 is 6.
The value when n = 4 is 7.
The value when n = 4 is 9.
The value when n = 4 is 10.

Answers

Answer:

A and H are correct

Step-by-step explanation:

I took the quiz

The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”

"Two less than x" describes "x- 2"

"Quotient of x and y" describes  x/y

"x increased by y" describes x+y

n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.

So, the expression is n³/16-2+8

= n³/16 +6

When n=4, we get

4³/16 +6

= 4+6

= 10

Therefore, the options A and H are correct answer.

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A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:

y=-0.0625x+1.25x +5.75 where x and y are measured in feet.



a) Will the truck fit under the arch? Explain (with numerical details).

BIRD



b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?

Answers

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

[tex]y=-0.0625x^2+1.25x+5.75[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]

Equating with zero

[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]

Double derivative of the equation

[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]

So, the function is maximum at [tex]x=10[/tex]

[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]

The function is maximum at [tex](10,12)[/tex]

So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.

Now truck is 11 feet tall so [tex]y=11[/tex]

[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]

The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

turn y=4x-7 into standard form.​

Answers

4x=11 is the correct answer:)

10 teachers mark 500 exam papers in 30 hours. How many teachers are needed to mark 600 exam papers in 25 hours

Answers

Answer:

Approximately 15 tea hees

Step-by-step explanation:

Given that:

Number of teachers needed to Mark 500 exam papers in 30 hours =

Hence, marking rate of each teachers ;

500 / (30 * 10) = 500 / 300 = 1.667 papers per hour

If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;

Let number of teachers = t

(Rate * number of hours * number of teachers) = number of exam papers to be marked

(1.6667 * 25 * t) = 600

41.666665t = 600

t = 600 / 41.666665

t = 14.40000

Number of teachers needed = about 15 teachers

The State Fair charges $25 for admission and $1.25 for each ride. You go to the park
with a total of $40. How many rides are you able to ride?
A.12
B.13
C.14
D.15

Answers

Answer:

12 Rides

Step-by-step explanation:

After you pay $25 for admission you only have $15 left. If you multiply 1.25 × 12 you get 15.

Answer: A. 12

Step-by-step explanation:

40 - 24 = 15

15/1.25 = 12

Hope this helps :)

A game decreased in price by
1/3
After the reduction it was priced at £26.
What was the original price of the game??

Answers

Answer: £78

Step-by-step explanation

It decreased by 1/3 and after the reduction it was £26 so you have to get the other 2/3 so you multiply £26 by 3 to get the 3/3 that you need that will give you £78.

26 × 3 = £78

Use the number line to help you decide which statement is true.

Answers

Answer:

A

Step-by-step explanation:

because 1/2 = 4/8

and 5/8 is greater than 4/8  

The number line is the representation of numbers in real order.

5/8 = 0.625

1/2 = 0.50

5/8 is greater than 1/2.

Option A is the correct answer.

What is a number line?

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

Example: Number line from -4 to 4.

-4__-3__-2__1__0__1__2__3__4

We have,

5/8 > 1/2

5/8 = 1/2

5/8 < 1/2

5/8 = 0.625

1/2 = 0.50

We see that,

0.625 > 0.50

So,

5/8 must be greater than 1/2

i.e

5/8 > 1/2

We can also find the relation between 5/8 and 1/2 in this way.

5/8 = 1/2

Cross multiply.

5 x 2 = 8

10 = 8

10 is greater than 8

So,

5/8 is greater than 1/2

5/8 > 1/2

Thus,

5/8 = 0.625

1/2 = 0.50

5/8 is greater than 1/2.

Option A is the correct answer.

Learn more about number line here:

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An item has listed price of $70. If the sales tax rate is 9%, how much is the sales tax (in dollars)​

Answers

Answer:

The final sales tax price is $6.30.

Step-by-step explanation:

We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.

$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.

70 x 1.09 = 76.3

Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)

76.3 - 70 = $6.30

Therefore, the final price of the sales tax is $6.30.

Hope this helps! :)

Simplify: (5x^3y^7)(7x^5y)​

Answers

Answer:

35x^8 y^8

Step-by-step explanation:

Answer:

[tex]125y {}^{5}(7x {}^{5}y)[/tex]

Robert had money in his savings account. He spent $35.80 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?

Answers

Answer:

105.8

Step-by-step explanation:

All you have to do is add them up :)

Answer:

95.80

Step-by-step explanation:

Btw this is very easy Hope this Helps tho (✿◡‿◡)

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