What is the slope of a line that is perpendicular to the graphed line?

What Is The Slope Of A Line That Is Perpendicular To The Graphed Line?

Answers

Answer 1

Answer:

The slope of the line perpendicular to the graphed line is 2.

Step-by-step explanation:

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

The graphed line passes through two visible points (0,4) and (8,0). Thus, its slope is:

[tex]\displaystyle m=\frac{0-4}{8-0}[/tex]

[tex]\displaystyle m=\frac{-4}{8}[/tex]

Simplifying:

[tex]\displaystyle m=-\frac{1}{2}[/tex]

Two lines of slopes m1 and m2 are perpendicular is:

[tex]m_1.m_2=-1[/tex]

Suposse the given line has slope [tex]m_1=-\frac{1}{2}[/tex]. To find m2, we solve the above equation:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

Substituting:

[tex]\displaystyle m_2=-\frac{1}{-\frac{1}{2}}[/tex]

Operating

[tex]m_2=2[/tex]

The slope of the line perpendicular to the graphed line is 2.


Related Questions

Graeme earns $4.23 for each half hour that he works. How much will he make after 4 hours of work?

Answers

Answer:

[tex]4.23*8=33.84[/tex]

Graeme will make $33.84 after four hours of work.

Simplify the following by combining like terms:
-5- x+4x - 4

Answers

This expression simplified is 3x-9. This is solved by combining like terms.

-x + 4x = 3x
-5 - 4 = -9

Lizet bought a bag of gummy bears and ate one-third of them. The next day, she ate 16 more gummy bears. If she ate a total of 37 gummy bears, how many were originally in the bag?

Answers

Answer:

im trying to figure out the same thing

Step-by-step explanation:

(x^3 + 8x^2 + kx + 4) ÷ (x+ 2)

Please help how do i solve for k please include steps this is called remainder theorem

Answers

Answer: 14

Step-by-step explanation:

Check it

Answer:

k = 14

Step-by-step explanation:

The Remainder theorem states that if f(x) is divided by (x + h) then the remainder is f(- h)

If (x + h) is a factor of f(x) then the remainder is zero, that is f(- h) = 0

Given (x + 2) is a factor of f(x) then f(- 2) = 0, that is

(- 2)³ + 8(- 2)² - 2k + 4 = 0

- 8 + 8(4) - 2k + 4 = 0

- 8 + 32 - 2k + 4 = 0

- 2k + 28 = 0 ( subtract 28 from both sides )

- 2k = - 28 ( divide both sides by - 2 )

k = 14

Lisa hikes 9 miles in 2 hours. At this rate, how far does she hike in
1/6
hours?

Answers

Answer:

72 miles

Step-by-step explanation:

Answer:

0.75 or 3/4 miles hiked in 1/6 hours

Step-by-step explanation:

2 hours = 120 minutes

1/6 x 60 = 10 minutes

9 / 120 = 0.075 miles per minute

10 x 0.075 = 0.75

Now that Anna's Boutique has merged with another store, the members of its staff make $26. That is 30% more than they historically made. How much did the staff members use to make per hour?

Answers

Answer:

20

Step-by-step explanation:

30% of 20 is 6

Which function best represents this graph?

Answers

Answer:

who tell me how to start?

License plates in a particular state display 2 letters followed by 4 numbers How many different license plates can be manufactured for this state?

Answers

Tbh I think the answer is 3

Answer:6,760,000

Step-by-step explanation:

Expand & simplify
5
(
p
+
6
)

5
(
p

2
)

Answers

Answer:

Expanded form - write 5 ( p+6 ) - 5 ( p - 2)  

as an equation  y = 5 (p+6) -5(p-6)

simplifyed form - 40

Step-by-step explanation

A triangle has sides with lengths of 6 centimeters, 5 centimeters, and 3 centimeters. Is it a right triangle?

Answers

Answer:

No

Step-by-step explanation:

A triangle with a side of five is only a perfect right triangle when it's in a 5,12,13 ratio.

Furthermore, to check, 5^2 is 25 and 3^2 is 9. 25+9 is 34, which doesn't not have a square root of 6.

A salespersons commision varies directly with their sales. For $1000 in sales, the commission is $85. What is the constant of variation? What is the commission for $2300 in sales?

Answers

Point me please please

How to calculate slope of a line STEP-by-STEP

Do not spam
If you spam I will report!

Answers

Step-by-step explanation:

You want to start by looking for two coordinates and decide which ones you'll use.

Then you want to find the difference between the two y coordinates also known as the rise.

Then you'll want to find the difference between the two x coordinates also known as the run.

After that you'll want to divide the difference of the two y coordinates with the difference of the x.

Hopefully this helps, much love.

Chart given to best illustrate.

[tex]8-4/4-2=4/2=2[/tex]

8 is from the right side which is subtracted by the 4 in the left equation. Then you divide that by 4 with 2 which results in 2. You end up with 4/2 and bingo!

2

Step-by-step explanation:

do you have a graph or points

graph it is rise over run wich is y/x

and if its points then you do y1-y2/x1-x2

solve for u

Simplify your answer as much as possible.

Answers

well if i do cross multiply i would get
12x2 =24 and then divide 8 which would equal 3 so U would be 3

The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 3 and 5. A larger triangle has side lengths of 9 and x + 1. 10 11 14 15

Answers

Answer:

14 is the answer

Step-by-step explanation:

I hope I helped

The value of x is 14.

The correct option is C.

What is ratio?

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The smaller triangle was dilated to form the larger triangle.

A smaller triangle has side lengths of 3 and 5.

A larger triangle has side lengths of 9 and x + 1.

That means,

the ratio,

3/5 = 9/(x + 1)

3x + 3 = 45

x = 14

Therefore, the value is 14.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ6

-9 ( greater less than)
(> with a line under it)
2m + 2 - 3

Answers

Answer:

m is less than or equal to -4

Step-by-step explanation:

If your cell phone bill is $85.87 and there is a 8.4% late fee, how much will your bill be if it's late?

Answers

Answer:

Step-by-step explanation:

If you're late on your cell phone bill, you'll generally be fined as much as 5 percent of the amount due or $5, whichever is higher. Late charges may not kick in immediately. At AT&T, for example, the fee is applied six days after your due date. Often, your late fee will be subject to taxes.

Answer:

7.21308 is the late fee so in total it is going to be 98.08308

Step-by-step explanation:

Your welcome

Given: BC ≅ CD and AC bisects ∠BCD
Prove: ∆ABC ≅ ∆ADC
Please show work and don't just put random letters like the first time i asked this PLEASE i really need this

Answers

Go download Conects. You gonna love it.

I NEED HELP!!!! WITH NUMBER 9, & 10??

Answers

Answer:

awnser one is 7 and question 2 is -10

Step-by-step explanation:

−12−2−−55=?  question one

In the first fraction, the negative numerator and negative denominator cancel each other.

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

122+55=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(12/2, 5/5) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(122×55)+(55×22)=?

Complete the multiplication and the equation becomes

6010+1010=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

60+1010=7010

Since 70 divided by 10 equals 7 then,

7010=7

Therefore:

−12−2−−55=7    

Question 2

−81+6−3=?

In the second fraction, move the negative sign from the denominator to the numerator and the value remains the same.

The equivalent equation is

−81+−63=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-8/1, -6/3) = 3

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−81×33)+(−63×11)=?

Complete the multiplication and the equation becomes

−243+−63=?

The two fractions now have like denominators so you can add the numerators.

Then:

−24+−63=−303

Since -30 divided by 3 equals -10 then,

−303=−10

Therefore:

−81+6−3=−10

Solution by Formulas

Apply the fractions formula for addition, to

−81+6−3

and solve

(−8×−3)+(6×1)1×−3

=24+6−3

=30−3

=−10

I need some help on solving this problem

Answers

Answer:

J. 80°

Step-by-step explanation:

It would most likely be 40 degrees because it has 40 on the other side which is included in the Isosceles Triangle Theorem.... that the two base angles are equal in measure

The ratio of green to red jelly beans in a jar is 4 to 6. If there are 28 green jelly beans, how many total green and red jelly beans would be in the jar?​

Answers

4 x 7 = 28

6 x 7 = 42

42 is the answer UvU

Answer:

76 jelly beans total

Step-by-step explanation

4 x 8 = 28

6 x 8 = 48

28 + 48 = 76

PLEASE ANSWER!! WILL MARK BRAINLIEST

Answers

The Answer I think is 21

A store is advertising a sale with 10% off all items in the store. Sales tax is 5%.A 32-inch television is regularly priced at $295.00. What is the total price of the television, including sales tax, if it was purchased on sale? Fill in the blank to complete the sentence. Round your answer to the nearest cent.

Answers

Answer:

$280.25

Step-by-step explanation:

Step one;

given

price= $295.

Discount

10% of 295

=10/100*295

=0.1*295

=29.5

new price= 295-29.5=

=$265.5

Tax

5% of 295

=5/100*295

=0.05*295

=14.75

tax=$14.75

Total price= discount sales+tax

=265.5+14.75

=$280.25

Help
Help help pls I can’t answer this

Answers

Answer:

A

Step-by-step explanation:

1/6^2 =

1/36

Answer:

B

Step-by-step explanation:

When you divide 2 numbers with the same base, you subtract the exponents. We know fractions are basically division, so we would do 3-5. You get -2 as your exponent and we know negative exponents can be written two ways: [tex]6^{-2} and \frac{1}{x6^{2} }[/tex]. Both of those are there, so they are not the correct answer. B can be determined as the one not because the exponent is positive.    

What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box.

Answers

Answer:

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

Step-by-step explanation:

y = -2/3 x + 2

Answer:y=-2/3x+2

Step-by-step explanation:

Trust me

If five friends split a $98.25 bill, about how much should each friend pay?

O about $17
O about $18
O about $19
O about $20

Answers

Answer:

about $20 because $98.25/5=$19.65

Step-by-step explanation:

please help and answer

Answers

Answer: B, C, E

Step-by-step explanation:

Answer:it is C:3 + 2x + 2x

Step-by-step explanation:i hop this helps and have a nice day and thank you

I need help please..

Angle PQR is a straight angle.
The measure of angle SQR is 25°.
The measure of angle PQS is xº.
What is the value of x?

Answers

Answer:

x=155

Step-by-step explanation:

since its a straight line, it has to equal 180 in total.

SQR is 25, so to find PQS you subtract 180-25

Which equals 155

I need these pls!!!!!

Answers

Answer:

1) $38.40 2) $255. 3) $5.80 4) $3.12

Step-by-step explanation:

So you have to multiply the years by the amount of money you have. Then you multiply that by the percent and divide by 100. (For the last one: because its a month you have to make it a fraction so it was 8/12)


At a bake sale, a student spent $5.70 buying 3 brownies and 5 cookies. His
friend spent $4.50 buying 1 brownie and 6 cookies. What is the price of a
brownie?

Answers

Answer:

i think the answer would be 90 cents for each brownie

Step-by-step explanation:

This can be solved as a system of 2 linear equations.

x = price of a brownie

y = price of a cookie

Since $5.70 bought 3 brownies and 5 cookies, our first equation is:

3x + 5y = 5.70

Since $4.50 bought 1 brownie and 6 cookies, our second equation is:

x + 6y = 4.50

So just solve the following system for x and y:

3x + 5y = 5.7

x + 6y = 4.5

Get x = 4.5 - 6y from the bottom equation and substitute for x in the top equation:

3(4.5 - 6y) + 5y = 5.7

Solve for y:

13.5 - 18y + 5y = 5.7

-13y = -7.8

y = 7.8/13 = 0.6 = price of cookie = $0.60

Now substitute this value of y into either equation and get x.  From the bottom equation,

x + 6(0.60) = 4.50

Solve for x:

x = 0.9 = price of brownie = $0.90

$0.90, so 90 cents. Cookies are $0.60, 60 cents.

HELP ME OUT PLZ PLZ

Answers

Answer:

SAS

Step-by-step explanation:

The information represents a Side, Angle, Side triangle

Answer:

SAS !

Step-by-step explanation:

it means Side, Angle & Side triangle and it does show that :)

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