Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).

Answers

Answer 1

Answer:  y = -(4/3)x + 1

Step-by-step explanation:

Let's start with finding an equation of a straight line (y=mx+b) that goes through points (-2,1) and (6,7).

The slope of a line, m, is the change in y for the change in x, or Rise/Run.

This is derived from the two points.

Rise (7-1) = 6

Run (6 - (-2)) = 8

Rise/Run = 6/8 or 3/4

The line is therefore y = (3/4)x + b

Find b by using one of the two points.  I'll use (-2,1), but the other would also work.

y = (3/4)x + b

1 = (3/4)(-2) + b

1 = -(6/4) + b

b = 10/4

The line becomes y = (3/4)x + 10/4

--------

A line perpendicular to this will have a slope that is the negative inverse of the original line.  The negative inverse of (3/4) is -(4/3).

The perpendicular line will be:

y = -(4/3)x + b

Use point (-6,9) to find b:

y = -(4/3)x + b

9 = -(4/3)*(-6) + b

9 = (24/3) + b

b = (27/3 - 24/3) = 3/3 = 1

The line is y = -(4/3)x + 1


Related Questions

what type of number is 40 squared
a. whole number
b. integer
c. irrational
d. rational
(THE ANSWER CAN BE MORE THAN ONE CHOICE)

Answers

Answer:

Step-by-step explanation:

A. C. np

Forty-five people volunteered, but 200% of that number are needed. How
many people are needed?

Answers

45times2=90
That’s the answer

The length of a warm is 3.25 inches right as a fraction in simplest form

Answers

Answer:

13/4 inches

Step-by-step explanation:

3.25 inches

325/100 inches

13/4 inches

A number increased by 4 is less than 19.

Answers

Answer:

23 is the answer u understand

9) Find the volume of cube of a side 3cm​

Answers

Answer:

here side of cube is 3 cm..

Step-by-step explanation:

side = 3 cm

we know that...

volume of cube =s^3

=3^3

=27Cubic cm

Answer:

9

Step-by-step explanation:

3x3=9 think about it should be right

To join the tennis club, there is a $29.90
initial fee and a $4.40 yearly fee. Write an
equation in slope-intercept form where x
represents the number of years enrolled in
the club, and y represents the total amount
of fees paid.

Answers

Answer:

y = 4.40x + 29.90

Hope this helps! Do let me know if you need any explanation :)

. Imagine you are a restaurant owner. You are trying to set the menu price for the seared scallops with rice and mango salsa. Your item food cost is $6.78 and you set your food cost percentage to 33%. What would you set the price to be on the menu? *
1 point
$16
$18
$20
$21

Answers

The price of the food on the menu will be set at $21.

Cost of food item = $6.78

Food cost percentage = 33%

Let the price on the menu be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

= 33% × x = $6.78

33/100 × x = $6.78

0.33 × x = $6.78

0.33x = $6.78

x = $6.78/0.33

x = $20.54

x = $21 approximately

Therefore, the price of the food on the menu will be set at $21.

Read related link on:

https://brainly.com/question/25011160

Sean needs to save up at least $600 for a trip this summer. He earns $15 per hour at his part-time job. Sean also signed up to tutor after school for an additional $20 per hour. Write an inequality that describes the situation.​

Answers

Answer:

[tex]15x + 20x \geqslant 600[/tex]

Step-by-step explanation:

The amount of money he earns needs to be greater than or equal to 600.

Translate this phrase into an algebraic expression.

17 increased by twice Gail’s savings.

Use the variable g to represent Gail’s savings.

Answers

Answer:23/18

Step-by-step explanation:

PLEAS HELP GRADE 9 MATH ( surface area ) NEED HELP ASAP!! how do I find the surface area of this cylinder?

Answers

Answer:

1231.50432 [tex]m^{2}[/tex]

Step-by-step explanation:

A=2πrh+2π[tex]r^{2}[/tex]

h = 21 m

r = 7 m

A = 2π(7)(21) + 2π([tex]7^{2}[/tex])

A = 1231.50432 [tex]m^{2}[/tex]

i ned help with this question

Answers

Answer:

It should be ben because if it is ben then you would divide 4  1/2 into 1/4

Step-by-step explanation:

he will have 18 peices in total(But thats not what the question is asking)

The answe is Ben/B

Answer:

ben had a 4 1/2 foot-long sandwhich. he cuts the sandwich into a 1/4 foot-long pieces. how many pieces of sandwich does Ben have?

Step-by-step explanation:

this one is correct because the other 3 aren't for division.

-4 3/8 - (-2 1/4)
Find the difference. Write fractions is simplest form.

Answers

Answer:

Exact form = - 17/8

Decimal form = -2.125

Mixed number form = -2 1/8

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

cqn your please help this is a graded work​

Answers

I would help but the picture is blurry

A triangle has sides with lengths of 17 inches, 20 inches, and 28 inches. Is it a right triangle?

Answers

Answer:

no

Step-by-step explanation:

Pythagoras theorem

a2 + b2 = c2

the hypotenuse side is always the longest so its 28

:

[tex]17 { }^{2} + 20 ^{2} = 28 ^{2} [/tex]

289+ 400 =784

689 = 784

so the triangle is not a right angled triangle

“To find 623, I can just take the value of 613 then either multiply it by 12 or divide it by 2.” Do you agree with her? Explain why or why not.

Answers

Step-by-step explanation:

613 and 623 are very close values.

multiplying by 12 or a division by 2 changes the starting value drastically.

so, this cannot be right.

and dividing 613 by 2 also makes it even smaller. but to get 623 we need to make it bigger.

so, therefore, even without actually calculating the numbers, the statement is proven false.

PLEASE EXPLAIN YOUR ANSWER!!

Mark decided to open a business selling handmade soap but needed to borrow $1,200.00 for supplies to start. He took at simple interest loan for 1 year at 10 percent. He sold each bar of soap for $4.00. How many bars of soap will he need to sell in 1 year to cover the amount to repay the loan and interest?

A. 120
B. 240
C. 330
D. 480​

Answers

Answer:

Answer: Option 330 bars of soap Step-by-step explanation: If the amount is $ 1,200 and the simple interest for a year is 10% then the amount that Mark must pay is: If each soap bar costs $ 4 then the amount of soap bars you must sell in 1 year is: The answer is the first option  

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

$1,200.00 + 10% = $1,320.00 or $1,200.00 + $120.00 = $1,320.00

$1,320.00 / $4.00 = 330

330 * $4.00 = $1,320.00

Describe how to convert a fraction to a decimal without a calculator. Be sure to use complete sentences

Answers

Firstly you should try and make the denominator 100 and then whatever the numerator is should be after the decimal point. For example 1/10 would be 10/100 which would be 0.10.
Another example is 2/5 would be 4/10 which would be 40/100 and that is 0.4.
hope this helped!

It snowed 9.33 inches on Monday and 0.66 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?

Answers

9.33 +

0.66

9.99

It snowed 9.99 inches on Monday and Tuesday combined

7x^2 + 6x - 4 = 5x^2


Write the quadratic equation in standard form.

Answers

I got 2x^2+6x-4=0 let me know if it’s right or not

The ratio of fruit juice to water is 1:5. How
much water is needed to make 12 liters of
punch?

Answers

Answer:

10 liters.

Step-by-step explanation:

ratio: 1:5

sum of ratio: 1+5=6

Total volume of mixture = 12

Volume of water in mixture (fraction) = 5/6*12 = 5*2 = 10 liters.

Please help me last day to do this

Answers

Answer:

Q = 51,  S = 51,  R = 78

True or false how do you know?

Answers

Answer:

true

Step-by-step explanation:

figure B is figure A but 3 times the size.

Let f(x) = 3x2–5, find f(-5).
A. 70
B. 71
C. 72
D.73

Answers

Given equation:

[tex]f(x) = 3x2 - 5[/tex]

If x=-5Solution:

[tex]f( - 5) = 3( - 5)2 - 5 \\ = 3 \times - 5 \times 2 - 5 \\ = - 30 - 5 \\ = - 35[/tex]

Solved ✔︎

(3a²b)³ 5678910111213141516171819209

Answers

what are you asking?

Answer this for 50 points

Answers

Answer:

This would be point M.

Step-by-step explanation:

Hope this helps!

Answer:

M

Step-by-step explanation:

(3.75, -2.25)

The first coordinate is the x coordinate which means left or right.

Since it is positive we go to the right 3.75 units

The second coordinate is the y coordinate which means up or down

Since it is negative we go down 2,25 units

The point is labeled M

A 12" pizza costs $14. What is the
price per square inch?

Answers

Answer:

0.857$ (Its really big in answer but This is the average result.

The REAL answer

0.857142857$

what are all the possible ratios that can be made out of 32:56

Answers

Answer: 4:7

Explanation: To find the possible ratio, you first have to divide 32 and 56 into their lowest terms to find your answer. Hope this helps :)

Whats the common difference between 34,31,28,25

Answers

the common difference is -3

34-31 is 3, 31-28 is 3, 28-25 is 3. so it keeps going down by 3

Help! I need this for a assignment and I don’t understand!

Answers

Answer:

Sydney

Step-by-step explanation:

Every other one actually makes sense but if you use her method on any other equation it wouldn't work.

1 basic algebreh im slow hlp me 2

Answers

Answer:

it is D

Step-by-step explanation:

Answer:

[tex]5i \sqrt{7} [/tex]

Step-by-step explanation:

[tex] \sqrt{ - 175} = \sqrt{175} \sqrt{ - 1} \\ = 5i \sqrt{7} [/tex]

I hope I helped you^_^

Other Questions
What are some symbololic archetypes in first maze runner film? HELPPP PLS Please help me understand this!! PLEASE HELPP!True or False: Hydrogen is an alkali metal. Line m has a Slope Of -4/7 .Line n is perpendicular to m .What is the slope of line n? severe response to an allergen is known as . without prompt medical aid, the patient can die within a few minutes. A 8 kg brick is sitting on a frictionless table. If a 60 N horizontal force is applied to the brick and it accelerates at 2 m/s2, what will be the force of frictiona.24b.44c.0d.600 Add.2+(-5)Enter your answer in the box. Pliss help meeee helppppo pliss no links ok no links If the strength of the sun's magnetic field decreased from its current level, why would the temperature of sunspots increase? help me plz im failing!!!! Find the distance from roller coaster 1 to the swings please help Rikki got her haircut which cost $16. She gave the stylist a 25% tip. How much was the tip?0/2 12 divided by 478 using compatible numbers and to find two estimates Please help me with number 3 and 5 on average, what percentage of the food we eat on a daily basis comes from carbohydrates? Plzzz help me with this question and I also want working. I will give you brainly. Factorize: xy+6x+3y+18 It costs 4.99 for 2lbs of bacon and 6.99 for 5lbs of bacon.which is a better buy? Tyger buys a car for $3200. He renovates it and eventually sell it for $3800. Work out the percentage increase he sold the car for. he curtain rises on an empty stage. It is late afternoon November, 1945. The rooms are dusty, the curtains in rags. Chairs and tables are overturned.It is early morning, July 1942. The rooms are bare, as before, but they are now clean and orderly.Read the two sets of stage directions in the passage. Then explain how you would set the stage to show that a time shift has occurred if you were the director.