The line CD passes through the points C (2.-1) and D (1, 1). Which of the
following represents the equation of the line in Point-Slope Form?*

Answers

Answer 1

Answer:

The equation of the line in Point-Slope Form will be:

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

Also, check the attached graph below.

Step-by-step explanation:

Given the points

C(2, -1)D(1, 1)

Determining the slope between the points C (2.-1) and D (1, 1).

(x₁, y₁) = (2, -1) (x₂, y₂) = (1, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [1 - (-1)] / [1 - 2]

               = [1+1] / [-1]  

               = [2] / [-1]

               = -2                    

Thus, the slope of the line = m = -2

The point-slope form of the line equation is defined as

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

where

m is the slope of the line(x₁, y₁) is the point

In our case:

(x₁, y₁) = (2, -1)m = -2

substituting the values m = -2 and the point (x₁, y₁) = (2, -1) in the point-slope form of the line equation

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

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

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

Therefore, the equation of the line in Point-Slope Form will be:

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

Also, check the attached graph below.

The Line CD Passes Through The Points C (2.-1) And D (1, 1). Which Of Thefollowing Represents The Equation

Related Questions

i think i may have the answer but im not sure. if you answer thanks sm :)

Answers

Answer:

F

Step-by-step explanation:

3(5) would be the equivalent of 3*5, adding the + n.

Last Friday, Kira and Marcy got dinner at seaside sushi restaurant. Kira ordered 2 prices of tuna and 5 pieces of crab. Marcy ordered 3 pieces of tuna and 6 pieces of crab. Kira and Marcy order the ratio of tuna and crab?


Pls help me

Answers

Answer: [tex]\frac{5}{11}[/tex]

Step-by-step explanation:

Given

Kira order 2 pieces of tuna and 5 pieces of crab

While Marcy ordered 3 pieces of tuna and 6 pieces of crab

Total tuna ordered =2+3=5 pieces

Total crab ordered=5+6=11 pieces

The ratio of Tuna and crab is   [tex]\frac{2+3}{5+6}=\frac{5}{11}[/tex]

What steps would you take in order to solve the equation 38=6x-16

•Subtract 16 and then divide by 6
•Divide by 6 and add 16
•Add 16 and then divide by 6
•Multiply by 6 and add 16

Answers

Answer:

in my opinion it should be Add 16 and then divide by 6

Step-by-step explanation:

Answer:

C. Add 16 and divide by 6

Step-by-step explanation:

If you add by 16 you will get a result of

54=6x

Then when you divide by 6 you will result in

9=x or x=9 which will solve the equation

Hope this helps!

Check all the true statements.

Answers

Answer:

The true statements are:

2DE = AC1/2AC = DEDE || AC  

Step-by-step explanation:

As we are given,

AD = 3.5 and BD = 3.5

CE = 3 and BE = 3

From the given triangle ΔABC, it is clear that:

The segment DE bisects the sides AB and BC, so

AD = BD

CE = BE

It is clear that the segment DE is parallel to the segment AC, thus

DE || AC  

As DE is the midsegment between AB and BC, so

2DE = AC

1/2AC = DE

Thus, the true statements are:

2DE = AC1/2AC = DEDE || AC  

Help me with this - Label the origin, X-axis, and y-axis.

Answers

Answer:

say the vertex of y axis and x axis i.e (0,0)

Answer:

the origin is (0,0)

Step-by-step explanation:

the origin of a coordinate starts from

(0,0) then it is easier to lable all the coordinates

of a coordinate geometry

Fred and Stacey both have books to read over the summer. Fred has read 42 pages and Stacey has read 49 pages. What is the ratio of the number of pages Stacey has read to the number of pages Fred has read?
A. 7:6
B. 1:42
C. 6:7
D. 42:1

Answers

B. 6:7. You must divide the same number on both sides.
answer is A) 7:6
Stacey-49
Fred-42
ratio is Stacey to Fred, so 49/42
49/42 = 7/6

Solve the system of linear equations by using the elimination method:
4x+ y = 36
8x- y = 60

Answers

Answer:

(8,4)

Step-by-step explanation:

y and -y cancels out leaving you with "12x=96"

that simplifies to "x=8"

Then you substitute 8 into the "x" from either equation and y should equal 4

Your next Pre-Algebra test is worth 93 points and contains 38 multiple choice and short answer problems. Each
multiple choice problem is worth two points and each short answer is worth three points. How many of each type of
problem is on the test?

Answers

Answer:

There are 21 multiple-choice problems and 17 short answers.

Step-by-step explanation:

Let there are x multiple-choice problems and y short answers.

ATQ,

x+y = 38 ....(1)

Each  a multiple-choice problem is worth two points and each short answer is worth three points.

2x+3y = 93 ....(2)

Multiply equation (1) by 2.

2x+2y = 76 ....(3)

Subtract equation (2) and (3) we get :

2x+3y-(2x+2y) = 93-76

2x+3y-2x-2y = 17

y=17

Put the value of y in equation (1).

x+17 = 38

x=21

Hence, there are 21 multiple-choice problems and 17 short answers

A smokestacks, AB, is 55 m high. From two points C and D on the same side of the smokestack’s base B, the angles of elevation to the top of the smokestack are 40 degrees and 36 degrees repectively. Find the distance between C and D to the nearest metre.

Plz guys help me with this question ASAP

Show all working

Thank you so much God Bless you brother

Answers

Answer:

CD=10.15m

Step-by-step explanation:

Find the distance of BC.

Tan(40)=55/BC

BC=65.55m

Find the distance of BD.

Tan(36)=55/BD

BD=75.70m

Use BC and BD to find CD

BD-BC=CD

75.70-65.55=CD

CD=10.15m

The rainfall amount last year was 6 inches below normal. The rainfall this year was 13 inches more than last year. What is the difference between the rainfall amount this year and the normal amount of rainfall? (Hint: Draw a number line to help you visualize the scenario)

Answers

Answer:

7

Step-by-step explanation:

The term difference means to subtract. Therefore, 13in - 6in, is equal to 7 inches.

13-6=7

Hope this Helps!!!

can someone help me with these 3 questions please!!


1. Use greatest common factor and the distributive property to write an equivalent

expression in factored form.

2x + 8y


2. Use greatest common factor and the distributive property to write an equivalent

expression in factored form.

13ab + 15ab


3. Use greatest common factor and the distributive property to write an equivalent

expression in factored form.

20g + 24h

Answers

Answer:

..

Step-by-step explanation:

Evaluate the expression below. 18 - 71- 4 + 3(-1)​

Answers

Answer:

18 - 71 -4 + 3(-1)

-53 - 4 - 3

-57 - 3

-60

hope it's helpful ❤❤❤❤

THANK YOU.

Please make it quick

Answers

Answer:

35cm

Step-by-step explanation:

Answer:

35 :)

Step-by-step explanation:

mutiply by the length 7 and the 5 width

Tonys terrific tools is selling a hammer at 30% discount the sale price is $12.60 what is the original price of the hammer

Answers

Answer:

100: x

70 : 12.6

7x=1260

x=1260/70

x or original price= $18

Step-by-step explanation:

Solve the equation.
p2 - 10p + 21 = 0

Answers

Answer:

p = 3 or p = 7

Step-by-step explanation:

Answer:

p²-7p-3p+21=0

p(p-7)-3(p-3)=0

(p-3)(p-7)=0

either

p=3

or

p=7

Equation:
Question Blank
type your answer...
x +
Question Blank
type your answer...
= 180 Angle B =
Question Blank
type your answer...
degrees Angle A =
Question Blank
type your answer...
degrees

Answers

Answer:

x = 41; B = 41°; A = 77°

Step-by-step explanation:

All of the angles add up to 180 so to solve for X you do (x) + (2x-5) + (62) = 180. Solve for X and you get 41. Lastly plut the answer back into the equation.

The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k? (1 point) 3 7 10 13

Answers

Answer:

10

Step-by-step explanation:

k represents how many places the graph will be shifted. -k means that is being shifted to the right and positive means being shifted to the left.

So when moving 10 units to the right, k will equal 10

Answer:

its 10

Step-by-step explanation:

Is there a way to quickly find a function if you have a handful of ordered pairs?
ex. (-6, 10) (-4, 7) (-2, 4) (0, 3) (2, 0) (4, -3)

Answers

Yeah. You basically have to look at every x value and see if for every x value, is there ONLY one y-value. So in your example, it is a function because every x value has only one y value. Let’s say you had (1,3) and (1,5). That would not be a function because the x value of 1 has TWO y values (3 and 5), therefore it is not a function.

That’s how you can easily spot if something is a function by just looking at a handful of ordered pairs. I hope this makes sense.
Plug into your calculator and Use linear regression

can you help me with this question plzz?​

Answers

Answer: The answer is 96 wizards.

Step-by-step explanation:

So what I like to do is fraction formatting.

you start with x/blank [tex]\frac{blank}{120}[/tex] and [tex]\frac{80}{100}[/tex] you do cross multiply divide

and multiple 120 by 80(=9600) and divide by 100 (=96) because wizards are 20% less of the population than goblins, so they are equivalent to 80% of the goblins! Hope this helped!

i have no clue how to solve this can someone help?

Answers

Answer:26

Step-by-step explanation:

Plz help I don’t understand how to do this problem

Answers

Answer:

a) 6b) 3t² - 17t + 28c) 3t² - 5t - 2

Step-by-step explanation:

Given function:

g(t) = 3t² - 5t + 4

a)  g(2)

g(2) = 3*2² - 5*2 + 4 =          3*4 - 10 + 4 =          12 - 6 =          6

b)  g(t - 2)

g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 =               3(t² - 4t + 4) - 5t + 10 + 4 =               3t² - 12t + 12 - 5t + 16 =               3t² - 17t + 28

c)  g(t) - g(2)

g(t) - g(2) = 3t² - 5t + 4 - 6 =                   3t² - 5t - 2

need help with ASAP!

Answers

Answer: 8y^6x^6

Step-by-step explanation:

Volume = l*w*h so multiply all the variable by multiplying the numbers and adding the exponents so

2y^2*4x^4y=8y^3x^4

then 8y^3x^4*x^2y^3=8y^6x^6

Answer: 8y^6x^6



There you go hopefully it helps u

PLEASE HELP!!!
kari deposited $1,840 into an account that pays 3.5% interest compounded annually. What will the balance be in five years? round your answer to the nearest cent (hundredth)

Answers

bro I got the answer

answer m/40 + 50 = 51

Answers

Answer:

m=40

Step-by-step explanation:

First you would subtract 50 from both sides to get -> m/40=1. So finally if you want to multiply 40 to both sides it would be m=40. Hope this helps!

What is the surface area and Volume?

Answers

Answer:Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object. ... Each shape has its surface area as well as volume.

Step-by-step explanation:

The supplementary angle to 80degrees is

Answers

Answer:

its 100 degrees

Step-by-step explanation:

What is 2x34+80......................

Answers

Answer:

148

Step-by-step explanation:

2 × 34 = 68

68 + 80 = 148

hope this helps....

Answer:

I think the answer is 148!?

Step-by-step explanation:

Can someone please help me by solving this and showing your work? Thank you!! GO INTO DETAIL PLSS

Answers

Answer:

63.84 is area

Step-by-step explanation:

so its 8.4 x 15.2 divided by 2

What is the image point of (4,5)(4,5) after a translation left 5 units and down 3 units?

Answers

Answer:

The image of point (-1,2)

Step-by-step explanation:

Step(i):-

Given point ( 4,5)

The Horizontal translation left '5' units then the transformed to

(x ,y ) → (x - 5 ,y)

(4,5)→ (4-5 , 5)

Step(ii):-

Again the vertical translation down '3' units then transformed to the co-ordinate point is  (x, y)→ ( x, y-3)

                       (4-5 , 5)→ ( 4-5 , 5 -3)

                      (-1 , 5) → (-1 , 2)

Final answer:-

The image of point (-1,2)

help aaaaaaaaassssspp

Answers

Answer:

8) A. (1,-4)    9) D. (4,0)

Step-by-step explanation:

You can substitute the x and y coordinates in each inequality and use process of elimination to figure out whether the ordered pair is the solution.

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