what is an equation of the line that passes through the points (1,2) and (2,-1) 

Answers

Answer 1

Answer:

[tex]y = - 3x + 5[/tex]

You should also try solving it yourself to make sure I did not make any mistake.

Step-by-step explanation:

Equation

[tex]y = mx + b[/tex]

First we need to know the slope

[tex]slope = \frac{y1 - y2}{x1 - x2} [/tex]

[tex]slope = \frac{2 - ( - 1)}{1 - 2} = \frac{3}{ - 1} = - 3[/tex]

So far the equation will look like this

[tex]y = - 3x + b[/tex]

To get the b you insert a point into the equation like this. I picked point (1,2)

[tex]2 = - 3 \times 1 + b[/tex]

[tex]b = 5[/tex]

We could also check it with the other point and see if we get the same answer.

[tex] - 1 = - 3 \times 2 + b[/tex]

[tex]b = 5[/tex]

So the equation is

[tex]y = - 3x + 5[/tex]


Related Questions

a 40ft flag pole has a rope tied from the top to the ground. the rope makes a 25 degree angle with the ground, how long is the rope

Answers

Answer:

The rope is 94.65 feet.

Step-by-step explanation:

When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?​

Answers

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

Kąty α i β są kątami przyległymi. Kąt wyznaczony przez dwusieczne kątów α oraz β ma miarę A) 90∘ B) 4 5∘ C) 60∘ D) różną, w zależności od miar kątów α i β

Answers

Answer:

i have

Step-by-step explanation:

i dont even know good luck

please solve will give brainiest

Answers

Step-by-step explanation:

BODMAS

155.5-5.5*20.7

155.5-113.85

=41.65

Answer:

41.65

Step-by-step explanation:

155.5-(5.5*20.7) order of operation

155.5-113.85=

41.65

The measure of angle DCF is ... degrees?

Answers

Answer: Yes, The measure of DCF is degrees.

I need help ASAP x-3/8=3/20

Answers

Answer:

Step-by-step explanation:

6/8 can be simplified to 3/4. Therefore the answer is C. 20 X 3/4

Answer:

[tex]x=0.525[/tex] or [tex]x=\frac{21}{40}[/tex]

Step-by-step explanation:

How do I find the measurement indicated in each parallelogram.

Answers

Answer:

17) 23

18) 12

Step-by-step explanation:

17

x+15 = 7+2x

x-2x = 7-15

-x= -8

x=8

WX = x+15

= 8+15

= 23

18

2x = 3x-6

2x -3x = -6

-x = -6

x = 6

EF = 3x-6

= 3(6) -6

= 18 -6

= 12

Answer is 17 u need to write 17

how many times does 67 117

Answers

7839 i think that’s right
67 can only go into 117 once

help find this please

Answers

Answer:

B

Step-by-step explanation:

Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greatest number of gift bags he can make if each bag will have the same number of cookies and the same number of candy canes? Also, identify the number of cookies and candy canes each bag will have.

Answers

Answer:

12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes

Step-by-step explanation:

A map of Long Island has the scale 2.75 cm= 16km. On the map, target Rock is 23.2 cm from Lake Montauk. Find the distance from Target Rock to Lake Montauk. PLEASE HELP ASAP

Answers

Answer:

ytjyhyjhuyjhytujhyuhjnfh

Step-by-step explanation:

convert 3 4/5 into a improper fraction with steps please

Answers

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert [tex]3 \dfrac{4}{5}[/tex]  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

 Step1; Write the fraction into simple fractions,

                    [tex]= \dfrac{3 \times 5 + 4}{5}[/tex]

Step2; Solve the following equation.

                    [tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]

Hence, The improper fraction is 19/5.

To know more about Fractions click the link given below.

https://brainly.com/question/21449807

Which are the solutions of the inequality − 2x > − 4?
Choose all that apply.
A 2
B 1.5
C 1
D 3.5
E 2.5
F −2

ASAP!!!!!!!

Answers

Answer:

B,C&F

Step-by-step explanation:

-2x>-4

multiplied by -1 gives 2x<4

And you devide both sides by 2 you get x<2

The numbers smaller than 2 in your options are 1,1.5 and -2

Finish the proof plz.

Answers

9514 1404 393

Explanation:

Here are the reasons:

GivenDefinition of a rectangleDefinition of a rectangleLL theorem for congruence of right trianglesCPCTC (corresponding parts of congruent triangles are congruent)

Solve the inequality. 4v + 9 ≤ 5 or -3 >= -6​

Answers

Answer:

v ≤  − 1   or  Always true

Step-by-step explanation:

I hope this helps!

Answer:

v ≤  − 1

Step-by-step explanation:

What is the largest possible integral value in the domain of the real-valued function

f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]

Answers

Answer:

Max Value: x = 400

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]

Step-by-step explanation:

Step 1: Define

[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]

Step 2: Identify Variables

Using U-Substitution, we set variables in order to integrate.

[tex]u = 800-2x\\du = -2dx[/tex]

Step 3: Integrate

Define:                                                                                                            [tex]\int {f(x)} \, dx[/tex]Substitute:                                                                                         [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property:                                                                                     [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub:                                                                                           [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite:                                                                                          [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule:                                                 [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify:                                                                                                         [tex]-\sqrt{u} + C[/tex]Back-Substitute:                                                                                            [tex]-\sqrt{800-2x} + C[/tex]Factor:                                                                                                           [tex]-\sqrt{-2(x - 400)} + C[/tex]

Step 4: Identify Domain

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

Frenando finished 6/8 of his homework greta finished 6/8 of her homework find a fraction that represent the amount of work that greta finished in a different form but equal to 6/8

Answers

Answer:

3/4

Step-by-step explanation:

you can write it in a different form by simplifying. 6/2 = 3. 8/2 = 4 so the answer is 3/4

Help me I don't know how to find the percent of discount to the nearest percent

Find the percent of discount to the nearest percent.

skateboard: regular price, $24
sale price, $15.50


help. PLEASE.

Answers

Answer:8.5

Step-by-step explanation:

Answer:

step one

find the difference between marked price and the selling price, which is 24-15.50=8.5

step two apply the formula which is, difference divided by marked or original price and then multiple by 100

eg (8.5÷24) × 100= 35.4

so now round off to the nearest percent that's 35%

Geometry...Please help as soon as possible please and Thank you so much!

Answers

Answer:

Step-by-step explanation:

Statement1. ∠KJL ≅∠LMK (A)

Reason1. Given

Statement2. ∠JKL≅∠MLK (A)

Reason2. Given

Statment3. KL≅KL (S)

Reason3. Reflexive propriety

Statemnt 4. ΔJKL≡ΔLMK

Reason 4. AngleAngleSide congruency theorem

Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10

Answers

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.

Answers

Answer:

Number of package sold = 24 package

Step-by-step explanation:

Given:

Total number of package = 36

Remain package = 8

Computation:

Number of package sold = Total number of package - Remain package

Number of package sold = 36 - 8

Number of package sold = 24 package

y = x2+x-30
what are the factors

Answers

Answer:

2 and x are the factors of 2

Step-by-step explanation:

Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.

Answers

Answer:

28 soccer balls.

Step-by-step explanation:

Let there are 7x basketball and 6x soccer balls.

A sports store donates basketballs and soccer balls to the boys and girls club.

The store donates 24 soccer balls.

It means,

6x = 24

x = 4

No of basketballs = 7x

= 7(4)

= 28

Hence, the store denote 28 soccer balls.

I’m please help asap due soon

Answers

The answer is 51. Hope this helps

4 ten and 17 hundredth in decimals UNSERIOUS ANSWERS REPORTED

Answers

Answer:

40.17

Step-by-step explanation:

4 ten: 4 × 10 = 40

17 hundredth: 17 × 0.01 = 0.17

4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17

Lashonda has bought 18 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.

Answers

Answer:

she have feed 26 or 27

Step-by-step explanation:

I am confused it's 26 or27

8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?

Answers

Answer:

7 dollars

Step-by-step explanation:

$22 haircut; 20% tip
help..

Answers

Answer:

20% tip = $4.40; total = $26.4

Step-by-step explanation:

20 % = 0.20 ------> 22 * 0.20 = 20% of 22

20% of $22.00 = $4.40

total = $22.00 + $4.40

total = $26.40

18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?

8

9

12

10.3

Answers

p=2(l+b) =2(3x-3) =6x=48=x=8

Answer: It’s 8

Step-by-step explanation:

6.Zena needs a salesperson. Sales person anyway is offering his services for an initial $50 in addition to $5 per hour. Sales person B is offering her services for $15 per hour. How many hours will two sales people charge the same amount of money?

Answers

Answer:

5 hours (when salespersons A and B will both charge $75)

Other Questions
Which answer has the correct order of good morning, good afternoon and good evening?O buenos das, buenas noches, buenas tardesbuenas tardes, buenas noches, buenos dasO buenos das, buenas tardes, buenas nochesO buenas noches, buenos das, buenas tardes Lin is paid $90 for 5 hours of work. She used the table to calculate how much she would be paid at this rate for 8 hours of work 1. What is the meaning of the 18 that appears in the table?. the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed. Bianca is shopping around town in order to purchase a computer that is regularly priced at $800. Use the details below to mark each statement as true or false. HELP ME NOWWWWW!!!!!!!!! Which of the following mountain ranges is labeled with the number 1 on the map above?A.the PyreneesB.the ApenninesC.the UralsD.the Alps how to fix the israel-palestine conflict. I NEED THIS NOW Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocalsof each other.The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals ofeach other. The Federal Work-Study Program is a:A. Grant provided to students working in university labs B. Financial aid program that pays for students employment C. Scholarship provided to students who pursue teaching degreesD. Financial-aid program eligible to first generation students why are there different types of matter. PLEASE HELP ME IM TIMED Select two ratios that are equivalent to what are ratios are equivalent to 2:9 A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph of the equation is shown. Describe what the slope and y-intercept represent. The students are trying to raise 3.000 but they only have 1200 how much would they need to get to 3000 Will mark brainliest for whoever answers WILL GIVE BRAINYL!!!Please fill I the blacks.. Sorry if you can't see it!!! What did Southern states feel they havethe right to do? (Civil war) Plz help me answer this Which group of people felt the economic issues associated with the recession before the stock market crashed?rancherschildrenfarmersretailers How many years before Columbus 1492 exploration did Prince Henry die? UR ANSWER WILL BE REPORTED IF ITS NOT A ACTUAL ANSWER :))TY NOW PLEASE13 points 7 grade math