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 straight line in point - slope form

y +1 = -2 ( x-2)

Step-by-step explanation:

Step(i):-

Given points are C( 2,-1) and D(1,1)

Slope of the line

     [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2[/tex]

   m = -2

Step(ii):-

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

Final answer:-

The equation of the straight line

y +1 = -2 ( x-2)


Related Questions

I need help for school​

Answers

Its 11 cause I’m built different

#1 *
1 point
Captionless Image

Answers

alrighty then but yyyyy

A dolphin starts at an elevation of feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick? A dolphin starts at an elevation of feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick?

Answers

Complete question :

A dolphin starts at an elevation of -16 3/4 feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of -5 1/4 feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick?

Answer:

2 3/10 feets

Step-by-step explanation:

Initial elevation = - 16 3/4 feets

Number of kicks = 5

Increase in elevation is the same for each kick

Final elevation = - 5 1/4 feets

Number of feets, x, dolphin travels per kick ;

Total elevation achieved after 5 kicks : ; change in elevation

Final elevation - initial elevation

16 3/4 - 5 1/4

67 /4 - 21/4

(67 - 21) / 4

= 46/4

Since change in elevation per kick is the same;

Number of feets traveled per kivk is ;

x = 46/4 ÷ 5/1

x = 46/4 * 1/5

x = (46*1) / (4*5)

x = 46/20

x = 2 6/20 = 2 3/10

Dolphin travels 2 3/10 feets per kick

Two students are both working on the same problem: A box of laundry soap has 25% more soap in its
new box. The new box holds 2 kg. How much soap did the old box hold?

Answers

Answer:

The answer would be 1.5kg.

Step-by-step explanation:

2/.25=.50

.50x4=2

100%-25%=75%

75%=1.5kg

my question is in the attachment

Answers

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{4x-1}{2}+\frac{3x+4}{3}= \frac{23}{6}[/tex]

[tex]\frac{3(4x-1)}{6}+\frac{2(3x+4)}{6}= \frac{23}{6}[/tex]

[tex]\frac{12x-3+6x+8}{6}=\frac{23}{6}[/tex]

18x + 5 = 23

18x = 23 - 5

18x = 18

x = 1

Therefore, x = 1 is the solution of the given expression.

3x +7y=10 and I’m solving for y and I got multiple awnsers

Answers

Answer:

y = ~-0.43x + 1.43

Step-by-step explanation:

You are solving for Y.

3x + 7y = 10

7y = -3x + 10 ^ Subtraction Property of Equality

y = ~-0.43x + 1.43 ^ Division Property of Equality

which expression are equivalent to this exponential expression

Answers

Answer:To create an equivalent expression, you simply need to move the base and exponent to the other side of the fraction line and change the exponent to positive: 1/(24)

Step-by-step explanation:

can you help me please ​

Answers

Answer:

sine 23 = x/21

Multiply both sides by 21

21 x sine 23 = x

Now, use a calculator and find the answer of the 21 times the sine of 23:

x = -17.7706284876

What is the quadrilateral

Answers

Answer:

a quadrilateral is a four sided shape that has four straight sides

For each of the following angles, name the angle that is congruent.

Answers

Answer:

M is congruent to P, N is congruent to Q, and O is congruent to R.

Step-by-step explanation:

Congruent angles are angles with exactly the same measure.

Solve the following system of equations.
3x + 5y = 5
7x + 5y = 25

i need the value of x and y.

Answers

Answer:

x=5 and y=-2

Step-by-step explanation:

3x+5y=5

-(7x+5y=25)

-4x=-20

x=5

plug 5 into one of the equations. 3(5)+5y=5

y= -2

PLS HELP ASAP 24 POINTS

Answers

Answer:

Area: 8

Perimeter:12

Step-by-step explanation:

Length: 4

Width: 2

Not sure what you're asking lol

Area: length x width --> 8

Perimeter: 2l x 2w --> 12

Answer:

the area is 8 it starts in 0 and ends in 4 and goes down to -2

Step-by-step explanation:

still what do u want us to answer

help plsssssss with calculations ill give brainlist

Answers

Answer:

ill try to answer that has soon has am done with these one

Step-by-step explanation:

Answer :

ill try to answer that has soon has

am done with these one

PLEASE HELP ITS IMPORTANT omll

Answers

Answer:

F(x)= 3x-4

Step-by-step explanation:

To find the slope use the formula y2-y1  

                                                          x2-x1

(2,2)

(0,-4)

-4-2 = -6   = 3x

0-2      -2

Kendra set a goal to walk 10 miles in one week. She walked 2 miles on Monday and 3 miles on Tuesday. Which equation represents the number of miles, w, Kendra still needs to walk?

Answers

Answer:

w + 5 = 1010 - 5 = w

Step-by-step explanation:

Kendra has a goal to walk 10 miles in one week.

She has already walked 2 miles on Monday and 3 miles on Tuesday. This means that she has already walked:

= 2 + 3

= 5 miles

If she wants to walk a total of 10 miles with w being the remaining miles, the expressions will therefore be:

w + 5 = 10

or;

10 - 5 = w

20% of____ is 15 ????

Answers

Answer:

The Correct Answer is 3

Step-by-step explanation:

y-intercept: (___,___)
r-intercept: (___,___)

Answers

Answer:

y= 0,4 x=0,3

Step-by-step explanation:

How many calories will Darrel burn in 1 minute while kayaking

Answers

Answer:

210 calories : )

Step-by-step explanation:

hope this helps

Solve for X

Log x - log 3 = log(x-2)

Please please help

Answers

Step-by-step explanation:

[tex]log \frac{a}{b} = loga - logb[/tex]

logx - log3 = log(x-2)

[tex] log( \frac{x}{3} ) = log(x - 2)[/tex]

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

x = 3(x - 2)

x = .......

Will give 15 point
Easy math please explain your work

Answers

Answer:

Answer is 154

Step-by-step explanation:

Solve the inequality
−y/2 ≤ 4

Answers

Answer:

4 is greater

Step-by-step explanation:

A negative divided by a positive = a negative.

No matter what y is, it will be a negative number.

Meaning, 4 a positive number, will be greater no matter what y is

i’m giving out 25 points for the answer

Answers

Answer:

angle p+30=180=

=180-30=150

angle Q+55=180

=180-55=125

angle R+95=180

=180-95=85

Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
10x+2y=8

Answers

Answer:

y = -5x + 4

Step-by-step explanation:

Solve for y

10x + 2y = 8

2y = -10x + 8

y = (-10x)/2 + 8/2

y = -5x + 4

What is the solution for -3w-4=w+4

Answers

Answer:

uhh

Step-by-step explanation:

carrot?

the answer is to this question is w=-2

help now pls thank bye lol

Answers

Answer: 4 roots

Step-by-step explanation: Just look at the highest power and that will tell you the amount of roots, unless there are imaginary roots

Which value of y makes the equation 13 - y = 17 true

A y= -13
B y= -4
C y= 4
D y=13

Answers

B:-4,if you subtract 13 minus -4 it will equal 17, try it in a calculator if you don’t agree :)

-3+4b=3(b-2)
what do I have to do slove both sides

Answers

Answer:

b=-3

Step-by-step explanation:

distribute 3(b-2) and you get 3b-6.

-3+4b=3b-6

add 3 on both sides.

4b=3b-3

-3b on both sides

b=-3

Which is equivalent to 42x +49.

A. 2 (21 + 24)

B. 8x + 13

C. 4 (2x + 9)

D. 7 (6x + 7​

Answers

Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

The answer is
D. 7(6x+7)

What is the largest value of $k$ such that the equation $6x - x^2 = k$ has at least one real solution?

Answers

Step-by-step explanation:

6x - x² = k

=> x² - 6x + k = 0,

For there to be at least 1 real solution,

The discriminant b² - 4ac must be at least 0.

We have (-6)² - 4(1)(k) >= 0.

Therefore 36 - 4k >= 0, k <= 9.

Hence the largest value of k is 9.

Answer:

9

Step-by-step explanation:

Rearranging, this is the equation x^2 - 6x  = -k. Completing the square, we add 9 to both sides, and x^2 - 6x + 9 = 9 - k. Factoring the left side, we have (x - 3)^2 = 9 - k. In order for this equation to have at least one real solution, the right-hand side must be nonnegative. Thus, we have 9 - k [tex]\geq[/tex] 0 and k [tex]\leq[/tex] 9. Thus, the largest possible value of k is 9.

Find the value of the variables I’ll mark the brainiest!

Answers

Answer:

x=15, y=12, z=20

Step-by-step explanation:

y is the geometric mean of the two segments it divides.

9 · 16 = y^2

y=12

Use the pythagorean theorem to find x and z.

16^2 + 12^2 = z^2

z^2 = 400

z=20

9^2 + 12^2 = x^2

x^2 = 225

x=15

Other Questions
Besides the Medici family, what other influential and powerful people were patrons of the arts during the Renaissance?a. scholarsb. artisans c. peasantsd. popes in Rome 2x+5 = 11What is x in this equation Priya, Han, Lin, and Diego are all on a camping trip with their families. The first morning, Priya and Han make oatmeal for the group. The instructions for a large batch say, Bring 15 cups of water to a boil, and then add 6 cups of oats.Priya says, The ratio of the cups of oats to the cups of water is 6:15. Thats 0.4 cups of oats per cup of water.Han says, The ratio of the cups of water to the cups of oats is 15:6. Thats 2.5 cups of water per cup of oats. Which sentence contains an idiom?The dancers legs were rubbery.Mia kept her nose in a book all day.Your story is like a fairy tale.He drove the bus like a race car. Qu beneficios y qu desventajas piensas que tuvo Mxicocon esa inversin? H. M m m m m m m. M mm m m mm m m mmm m m. Mm m m mm m m m. Mmm m m m mm mm m m mm m mm The ability to curl the tongue in dominant to the inability to do so. If Eric (heterozygous tongue curler) marries Brandy (also heterozygous) what are the predicted GTs and PTs of the offspring? The difference between two numbers is 2.5 . The product of those two numbers is 21. Provide the 2 equations needed to solve the application separated by a comma and NO SPACES. Paying higher wages encourages workers to be more productive. Higher wages cause workers to shirk more of their responsibilities. Paying higher wages enhances workers to adopt healthier lifestyles, enhancing their productivity. Paying higher wages tends to reduce the average experience level of a firm's workers. Good night everyone Alsoshould I A. Go to bed B. clean my room C. Cry c. is looking like the best option right now AlboWhat emotions does the image of "a huge mountain'tween my hearth and tongue" reveal?Read the passage. Then answer the question thatfollows.PORTIA. I would have had thee there and here againEre I can tell thee what thou shouldst do there.[Aside] O constancy, be strong upon my side;Set a huge mountain 'tween my heart and tongue.I have a man's mind, but a woman's might.- The Tragedy of Julius Caesar,William ShakespeareO doubt and fearO trust and prideO vengeance and hateO love and affectionIntroDoneFrameChain/Activity For Exercises 1 and 2, find the unknown angle measures in each triangle The Mongols were known for what two skills? Which statement summarizes the changes that occur to energy in cellular respiration Suppose the United States is currently producing 100tons of hamburgers and 45tons of tacos and Mexico is currently producing 20tons of hamburgers and 25tons of tacos. If the United States and Mexico each specialize in producing only one good (the good for which each has a comparative advantage), then a total of nothingadditional ton(s) of hamburgers can be produced for the two countries combined (enter a numeric response using an integer) Which letters from the table represent like terms?O A and BO B and CO A and DO Band D what is the value of power 0f a if a in 5 ^ a = 1 over 125 Which of these transaction typesDECREASE how much you owe the credit cardcompany? ................................................................................... Grouper Company sold 214 color laser copiers on July 10, 2020, for $3,800 apiece, together with a 1-year warranty. Maintenance on each copier during the warranty period is estimated to be $303. Prepare entries to record the sale of the copiers, the related warranty costs, and any accrual on December 31, 2020. Actual warranty costs (inventory) incurred in 2020 were $17,400.