2. A line goes through the points, and . (a) What is the slope of the line? Show your work. (b) Write the equation of the line in point-slope form. Show your work. (c) Write the equation of the line in slope-intercept form. Show your work. Answer:

Answers

Answer 1

Answer:

The answer to your question is:

Step-by-step explanation:

Data

A (8, 9)

B (-2, 4)

1. What is the slope of the line? Show your work

m = (y2 - y1) / (x2 - x1)

m = (4 - 9) / (-2 - 8)

m = -5 / - 10

m = 1/2

2. Write the equation of the line in point-slope form. Show your work

(y - y1) = m(x -x1)

(y - 9) = 1/2(x - 8)

3. Write the equation of the line in slope-intercept form.

(y - 9) = 1/2(x - 8)

y - 9 = 1/2x - 4

y = 1/2x - 4 + 9

y = 1/2x + 5

This work was done by joseaaronlara


Related Questions

One fruit drink advertised that it contained "10% real fruit juice." In one bottle, this was found to be 4.8 oz of real juice. How many ounces is something other than fruit juice? ​

Answers

Answer:

43.2 oz

Step-by-step explanation:

4.8/x=10/100

simplify:

4.8/x=1/10

cross multiply:

x=48

there is 48 oz juice in total

to find the rest:

48-4.8=43.2

43.2 oz is something other than fruit juice.

help with question 8 please

Answers

Answer:

the answer is G I believe

I think also the answer is G.

In your own words explain to someone how to find the intersection of two sets.

Answers

Answer:

in simple terms find the common elements present in both sets

eg sets

A=[1,2,3,4,5]

B=[4,5,7]

AnB=[4,5]

The temperature went from -6°F to -11°F. What was the change in temperature?
-5 F
5F
-17°F
17 F

Answers

I think that is -17 hope that helps

Answer:-5 F

Step-by-step explanation -6 + -5 = -11

Can someone please help

Answers

Answer:

What is your question?

Step-by-step explanation:

-18 - 6n= 6 (1 + 3n)

Answers

Answer:-1

Step-by-step explanation:-18-6n = 6 + 18n

-6n=6

divide

n=-1

Answer:

-1

Step-by-step explanation:

First, divide by 6

-18/6- 6n/6=6/6(1+3n)

-3-n= 1+3n

Then move the variable to one side

-3-n+n= 1+3n+n

-3=1+4n

Then isolate the variable

-3-1=1-1+4n

-4=4n

Isolate more

-4/4=4n

-1=n

18 ft = 6 yd
O True
O False
Help

Answers

Step-by-step explanation:

there is 3 feet in a yard

divide by 3

18 ÷ 3 = 6

true

it is true. because 18 ft equals 6 yards. hahaha ima just type because it needs to be 20 characters but yeah.

What are the opposites of 7, −4.5, 3.35, and 7 1 2

Answers

Answer:

The opposites of these numbers are -7, 4.5, -3.35, and -712

Step-by-step explanation:

What is the value of x in the equation 1.5(x +4)-3 = 4.5(x -2)?
3
4
5
9​

Answers

Answer:

Step-by-step explanation:

1.5x + 6 - 3= 4.5x - 9

1.5x + 3 = 4.5x - 9

Bringing like terms on one side

3 + 9 = 4.5x - 1.5x

12 = 3x

12/3 = x

4 = x

Option B is the correct answer

Please help ! :))
Find the equation of a line perpendicular to -3x + y=-5 that contains the point (1,4). Write the equation in slope.

Answers

Answer:

  y = -1/3x + 13/3

Step-by-step explanation:

-3x + y=-5

y = 3x -5

Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.

y-intercept going through point (1, 4):

y = mx + b

4 = -1/3(1) + b

4 = -1/3 + b

b = 13/3

Perpendicular equation of a line:

y = mx + b

y = -1/3x + 13/3

A lab technician must screen 175 slides under the microscope each week. If she works 7 hours a day, 5 days a week, how many slides,on average, must she screen in one hour

Answers

Answer:

The lab technician must screen 5 slides per hour

Step-by-step explanation:

If the lab technician works 5 days a week, and 7 hours per day, then she works 5*7 = 35 hours a week.

Given she must screen 175 slides each week, we can calculate on average, the number of slides per hour needed to complete the work.

The average is calculated as:

[tex]\displaystyle average=\frac{\text{total slides}}{\text{total hours}}[/tex]

[tex]\displaystyle average=\frac{175}{35}=5\ slides/hour[/tex]

The lab technician must screen 5 slides per hour

Martha drove 281.4 miles in 4.2 hours. How fast was she driving?

Answers

Answer:

I think your answer would be 67 mph

Step-by-step explanation:

281.4 / 4.2 = 67

Formula for speed:

d / t = s

8,943
=
X 1000 +
x 100 +
x 10 +
x 1
x 103 +
x 10? +
x 10 +
II
X 1

Answers

Answer:

I think that's wrong

Step-by-step explanation:

1000+1000+1000+1000+1000+1000+1000+1000+1000+ 900+40+3 ?????? not sure but it welcome

Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 3.5 inches. How many miles do they have to drive if the map scale is 1 in.=50ml

Answers

Answer:

3.5 * 50 =175 mi :)

Step-by-step explanation:

If n is divisible by 2, 5 and 14, which of the following is also divisible by these numbers?

Answers

Answer:

The number 70 is divisible by 2,5 and 14.

Explanation:

Out of all the equations, n+70 ⇒ 70+70 ⇒ 140.

140 is divisible by 2, 5 and 14.

SO the answer is option e: n+70

       

Dave has 500 baseball cards, which is as many cards as Eric and Travis have combined. Eric has three times as many cards as Travis. If Travis is donated x cards, Eric 3x cards, and Dave 500 cards. What is the total number of calls that all of them have? Also, explain how we figure out the amount of cards Travis has and the amount Eric has

Answers

Answer:

regtrgerf

m klbhjkb.Step-by-step explanation:

Tasha started her homework at 3:45 pm she spent an hour and 20 minutes completing her homework. What time did she finish her homework

Answers

Tasha finishes at 5:05
She would finish at 5:05

Find the distance and midpoint for the points (4, 8) and (19, 16). The distance is ___. The midpoint is ( _ , _ ).

I'd like a step by step please.

Answers

Answer:

[tex]Distance = 17 \\Midpoint = (11.5 , 12)[/tex]

Step-by-step explanation:

[tex]\sqrt{(16-8) }^{2} -{ (19 - 4)^{2}[/tex]

[tex]8 ^{2} + 15^{2}[/tex]

[tex]64 + 225[/tex]

[tex]\sqrt{289}[/tex]

[tex]distance = 17[/tex]

[tex]\frac{4 + 19}{2} , \frac{8+ 16}{2}[/tex]

[tex]\frac{23}{2} , \frac{24}{2}[/tex]

[tex]Midpoint = 11.5 , 12[/tex]

Hope this helps

plz mark brainliest

Which pair of lines are perpendicular?

A y=-8 and y = 2
B y= -4x + 1 and 8X+2Y=-10
C x=4 and y= -1
D x-y=7 and y=x+3

Answers

9514 1404 393

Answer:

  C.  x=4 and y= -1

Step-by-step explanation:

A: lines are parallel (both are horizontal)

B. lines are parallel (both have slope -4)

C. lines are perpendicular (one is vertical, one is horizontal)

D. lines are parallel (both have slope 1)

Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
If the price of soil is $1.50 per quart, how much will he pay in all?

Answers

Answer the answer to your question is $7.50

The lengths of a side of a triangle are 12.1 inches, 11.28 inches, and 5.4 inches. What is
the perimeter of the triangle?

Answers

Answer:

28.78

Step-by-step explanation:

12.1+11.28+5.4=28.78

To find a perimeter, you would add up all of the sides. There are 3 sides so you would add them all up to get 28.78

I need help with this math problem

Answers

Answers:

4) 1:1.5

5) 1.5:7

Jane Little rents a car for $39.00 a week. She pays $15.00 per week for the insurance, and spends $17.50 weekly on gas. What will her cost be per month (four weeks)?

Answers

Answer: Her cost will be $286 per month.

Step-by-step explanation: $39.00 times 4 is $156. $15.00 times 4 is $60. And $17.50 times 4 is $70. Adding all that together is $286

Answer:

$286.00

Step-by-step explanation:

First, you add 39.00 + 15.00 + 17.00 because that is for one week and you get $71.50 Then, you multiply 71.50 x 4 because there are 4 weeks in a month    and you get $286.00      Hope This Helps :)

Evaluate 2x+6y when x= -4/5 and y= 1/3 Write your answer as a fraction or mixed number in simplest form.

Answers

2/5 is a answer

in this we can se the answer is 2/5

The point C is 3/4 of the way from point A (-4,1) to point B (6,5). What are the coordinates of point C?

Answers

Answer:

(-1,5)

Step-by-step explanation:

The coordinates of point C are (7/2, 4).

What is midpoint of a line segment?

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

C is a point between AB.

Point C is 3/4 of the way from point A (-4,1) to point B (6,5).

This means,

AC : CB = 3 : 1 = m : n

Now,

m = 3

n = 1

(-4, 1) = (a, b)

(6, 5) = (c, d)

C = (x, y)

x = (mc + na)/(m + n)

x = (3 x 6 - 4)/4

x = (18 - 4)/4 = 14/4 = 7/2

y = (md + nb)/(m + n)

y = (15 + 1)/4 = 16/4 = 4

Now,

The coordinates of C is (7/2, 4).

Thus,

C is at the point (7/2, 4).

Learn more about midpoints of a line segments here:

https://brainly.com/question/13792156

#SPJ2

f(x)=-3x^2-6x

Find f(−9)

Answers

Answer:

f(-9)= -189

Step-by-step explanation:

f(-9)= -3(-9)^2-6(-9)

f(-9)= -3(-9)^2 +54

f(-9)= -3(81) +54

f(-9)= -243 + 54

f(-9)= -189

[tex]f(-9)[/tex]  is [tex]-189[/tex]

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

According to question, we have the function [tex]f(x)=-3x^2-6x[/tex]

We have to find [tex]f(-9)[/tex]

So,  [tex]f(-9)=-3[/tex]×[tex](-9)^{2}[/tex][tex]-6(-9)[/tex]

                [tex]=-243+54[/tex]

                [tex]=-189[/tex]

Hence, we can conclude that   [tex]f(-9)[/tex] is [tex]-189[/tex]

Learn more about function here:

https://brainly.com/question/15912209?referrer=searchResults

#SPJ2

 

 

A is an angle in standard position and satisfies the given conditions. Find the indicated trigonometric function value of A.
The terminal side of A is in quadrant II and lies on the line -7x - 5y = 0.
Find sec A.​

Answers

9514 1404 393

Answer:

  sec(A) = -(1/5)√74

Step-by-step explanation:

Solving the equation for y, we have ...

  -7x = 5y

  -7/5x = y

The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...

  sec(A)^2 = 1 + tan(A)^2

  sec(A) = √(1 +tan(A)^2)

  sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant

  sec(A) = -(1/5)√74

What is the radius of a circular swimming pool with a diameter of 2 feet?

Answers

Answer:

1 foot

Step-by-step explanation:

Answer:

it is 1 foot can i have brainly lol

Step-by-step explanation:

what is the slope of the line

Answers

Answer:

Rise/Run = up 3 over 1 = 3/1 (m = 3)

Step-by-step explanation:

Learn this stuff it is very important for future math

What is the slope of the line?
The graph shows the relationship between the volume
of a rectangular prism and the volume of a square
pyramid with an identical base and height.
0-
Prism vs. Pyramid
3
10
9
B
8
03
02
Prism Volume (cubic units)
2
1
23
5
6 7
8
9 10

Answers

Answer:

The slope of the line is 3.

Step-by-step explanation:

The slope of the line between the volume of a rectangular prism and the volume of a square pyramid is given by m = 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 2 , 6 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 6 - 3 ) / ( 2 - 1 )

Slope m = 3 / 1

m = 3

Therefore , the value of m = 3

Hence , the slope of the line is m = 3

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ5

Other Questions
z=45i15.5 what are the imaginary parts Represent the following expressions as a power of the number a (a0):a(a1a2)1 The readings suggest there are certain strategies for pricing new products, which is decidedly more difficult than adjusting prices to existing products. The new product pricing approaches are:SkimmingPenetrationEveryday low pricesThe pricing approaches discussed for existing products are:Cost plusMarkupMarkdownOdd-even pricingPrestige pricingPrice liningDemand backward pricingLeader pricingSealed bid pricingGoing-rate pricingPrice bundlingCaptive pricingProduct mix pricingTwo-part pricingPromotional pricingThere is no shortage of pricing approaches, and as customers, we are exposed to all of them at some time or another in our purchasing processes.Choose one of the pricing approaches and discuss the product, the pricing approach, and why you think it is the most appropriate approach for that particular product given your consumer characteristics. Be sure you understand the definition of your approach before tackling this topic.Many of you will be tempted to use promotional pricing since it is the easiest to demonstrate. So promotional pricing is not "for sale" (pun intended). Pick one of the other approaches for this topic. Rohini spends 88 of her monthly income. If she saves rs 3420 per month,what is her monthly income ? A is an angle in standard position and satisfies the given conditions. Find the indicated trigonometric function value of A. The terminal side of A is in quadrant II and lies on the line -7x - 5y = 0. Find sec A. A chemist is asked to determine the specific heat capacity of an unknown mineral. The 149-g sample was heated to 92.7C and placed into a calorimeter containing 81.4 g of water at 20.0C. The heat capacity of the calorimeter was 12.8 J/K. The final temperature in the calorimeter was 23.7C. What is the specific heat capacity (in J/gC) of the mineral? Enter to 4 decimal places. Kelly needs to travel 12 miles. Taxi A charges $3.00 plus $0.30 every 1/9 mile. Taxi B charges $3.25 plus $0.20 every 1/9 mile. How much money (in dollars) does kelly save by using taxi B instead of taxi A? (PLEASE HELP ASAP) Simplify -2 over 3 as a fraction -7 over 4 as a fraction A, B and C are service stationsAB= 25 milesBC= 25 milesAysha drives along the motorway from A to CAysha drives at an average speed of 50 mph from A to B. She drives at an average speed of 60 mph from B to C. Work out the difference in the time Aysha takes to drives from A to B and the time Aysha takes to drive from B to C.Give your answers in minutes. 24 (18 6) (12) 13.____epithelial tissues are multi-layered.14._____epithelia produce specialized secretions. please help ILL GIVE BRAINLIEST AND EXTRA POINTS- Who FIRST recognized the cell as the universal unit of life? HINT ITS NOT HOOKE I GOT IT WRONG1. Virchow2. Van Leeuwenhoek3. Schleiden and SchwannASAP PLEASEEEEE The temperature went from -6F to -11F. What was the change in temperature?-5 F5F-17F17 F Which of the following weaknesses in the Article of Confederation does this pichure represent?A. No executive branch B. One vote for each stateC. No power to taxD. No common currency Will be marked Brainliest if correct Using complete sentences, describe the political and economic challenges that have faced Eritrea since it gained independence. Edgars poetry and short stories are described as dark, strange land unusual. Why do you think his stories are so dreadful and horrific? f(x)=-3x^2-6xFind f(9) Hank wants to add a row of tile to his kitchen wall. The space is 5.75 feet long. He plans to put a \frac {3}{4} 4 3 foot yellow tile in the center. He'll fill the rest of the space with blue tiles that are 3 inches long. How many 3-inch blue tiles will he need? Where the red dot Located and explain please judy asked sarah to help her edit the following paragraph. identify the correct example of EDITINGTony and Mark decided to open a coffe shop on the corner of elm Street and 8th Avenue. Much to their shock, in the first week Tony and Mark made no sales and begin to worry if their business endeavor was a smart one With $10,000 dollars from the bank the two men purchase all the supplies needed to begin their first week. After a little advertisng and free samples, the shop is doing much better.A sarah corrects the spelling of the word advertising in the last sentenceB Sarah informs Judy that the essay is not organized properlyC Sarah suggests to Judy that she have a solid thesis statement D Sarah suggests to Judy that the paragraph should be coherent* i typed everything word for word hence the spelling mistakespls answer asap i will give u a kiss on the head