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

The measure of angle DCF is ... degrees?

Answers

Answer: Yes, The measure of DCF is degrees.

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

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%

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:

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:

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

$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

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

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)

y = x2+x-30
what are the factors

Answers

Answer:

2 and x are the factors of 2

Step-by-step explanation:

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

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

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

I’m please help asap due soon

Answers

The answer is 51. Hope this helps

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.

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:

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

how many times does 67 117

Answers

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

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.

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 :)

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

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:

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

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 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:

help find this please

Answers

Answer:

B

Step-by-step explanation:

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

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:

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)
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