Find the equation of the line with slope m=1 that contains the point (1,2)

Answers

Answer 1

Answer:

y = x + 1

Step-by-step explanation:

We can use the point-slope formula to write an equation for this problem. The point-slope formula states: (y - y1) = m (x - x1)

Where m is the slope and (x1 y1) is a point the line passes through.

Substituting the slope and the values from the point in the problem gives:

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

We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b

y - 2 = 1x - 1

y = 1x - 1 + 2

y = 1x + 1 or y = x + 1 * are just the same.

Answer 2

The equation of the line is y = x + 1.

What is a slope?

The slope and direction of a line are represented numerically by the line's gradient, which is also referred to as the slope in mathematics.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

And here we have the slope,

m = 1

And (x₁ ,y₁)  =  (1,2)

then the equation of line is

y - y₁ = m (x - x₁)

y - 2 = (x -1)

y = x + 1

Therefore, the equation is y = x + 1.

To learn more about the slope;

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Related Questions

The Murphin Company has 2,342 employees and the Galdstock Company has 1,750 employees. How many fewer people work at the Galdstock Company than at the Murphin Company?​

Answers

Answer:

592

Step-by-step explanation:

This is a subtraction problem.

2,342 - 1,750 = 592

What percent of $80 is $20

Answers

Answer: $20$20​ is $25\%$25%​ of $80$80​.

Step-by-step explanation:

25

Write an expression for the sequence of operations described below.
10 plus the quotient of 8 and u
Do not simplify any part of the expression.

Answers

Answer:

[tex]10 + \frac{8}{u}[/tex]

Step-by-step explanation:

Given

10 [tex]plus[/tex] the  [tex]quotient[/tex]of 8 and u

Required

Represent as a mathematical expression

Square out the operators

10 [[tex]plus[/tex]] the  [[tex]quotient[/tex]] of 8 and u

[tex]plus => +[/tex]

[tex]quotient => /[/tex]

Replace the operators with their signs

[tex]10 + \frac{8}{u}[/tex]

please help me solve this answer

Answers

Answer:it is a

Step-by-step explanation:

because it is only one under 3 miles

(-1)15 =
................

Answers

The answer is -15 I’m pretty sure

Don operates a small craft store in which he sells other peoples crafts. He takes a 45% commission from the sales of all crafts. If he earns $958.00 Commission last week, how much did he sell?

Answers

Answer:

2,128

Step-by-step explanation:

958=45/100 x

958= 0.45* x

x=958/0.45

x=2,128 approximately

Hope that helps!

what is the square root of -20

Answers

Answer:

4.47213595

Simplify in the tenths place and get 4.47

Step-by-step explanation:

Is this right? Please help

Answers

Answer: I believe that is correct! good jobbb

Step-by-step explanation:

8 friends go to Subway and each get 1/2 of a sandwich. How many sandwiches did they get altogether?

Answers

8 sandwiches just half the size

What is 4^2 - (3.1 + 6.4) + 4.5 pls show ur work

Answers

4^ 2-(3.1+6.4)+4.5

16 − ( 3.1 + 6.4 ) + 4.5

16 − 9.5 + 4.5

6.5 + 4.5

= 11
Answer: 11
How:
4^2 - (3.1 + 6.4) + 4.5
16 - 9.5 + 4.5
6.5 + 4.5
= 11

Please help me I’m desperateeee

Answers

Answer:

Step-by-step explanation:

First box: (0,1)

Second box: (0,-3)

Third box: (0,-4)

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

No

Step-by-step explanation:

(2, 6) is not a solution to the given system of linear equations.

y = 5x - 4 = 5*2 - 4 = 10 - 4 = 6

y = - 1/2x + 8 = - 1/2 * 2 + 8 = - 1 + 8 = 7

Since, point (2, 6) does not satisfy to equation 2.

Therefore, (2, 6) is not a solution to the given system of linear equations.

Answer:

no

Step-by-step explanation:

The factors of a polynomial are (x + 3x - 2)(x+ 7) The polynomial has been graphed. How do the zeros relate to the factors?

A. The zero is the sum of the numbers inside the parenthesis

B. There is no relationship between the factors and the zeros.

C. The number inside each parenthesis are the zeros of the equation.

D. If you set each factor equal to 0 and solved you would get the zeros.​

Answers

Answer:

its C I am pretty sure about it

Answer:

D: If you set each factor equal to 0 and solved you would get the zeros.

Step-by-step explanation:

Completed it on PL also because 0 should be base

Please help when Kevin bought a new office phone, he borrowed $1,200 at a rate of 18% for 9 years

Answers

Answer:

where is the rest of the questions

1344 divided by 16
(Pls ans)​

Answers

Answer:

84

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

1344/16=84

the tax on a purchase of $20 is $2.80. How much tax will there be on a purchase of $45.50?

Answers

Answer:

$6.37

Step-by-step explanation:

You divide 2.80 by 20 to find the percentage of tax then you simply multiply your percentange by the cost. In this problem the tax was 14% or .14, so you multiply .14 by 45.50 to find the amount of tax on the purchase

which table shows ordered pairs that satisfy the function y=4x-2

A x -2, 0, 2
y -4, -2, 0

B x -2, 0, 2
y 10, 6, 2

C x -2, 0, 2
y -8, 0, 8

D x -2, 0, 2
y -10, -2, 6

Answers

Answer: Choice D

==========================================================

Explanation:

If you plug in x = -2, then,

y = 4x-2

y = 4(-2)-2

y = -8-2

y = -10

This shows that the answer must be choice D, as this is the only answer that has x = -2 lead to y = -10. Note the first column of table D.

We could stop here if you wanted.

----------------------

If we kept going and plugged in x = 0, then,

y = 4x-2

y = 4(0)-2

y = 0-2

y = -2

We have x = 0 lead to y = -2. This matches with the second column of table D.

-----------------------

Lastly, if we plugged in x = 2, then we get,

y = 4x-2

y = 4(2)-2

y = 8-2

y = 6

So the third column of table D is also confirmed.

Umm yea help me please:)

Answers

Just round the decimal up

The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3 what is the common ratio in this sequence

Answers

Answer:

The common ratio in this sequence is 6:2 or 4:3

Step-by-step explanation:

hopes this heklps

HELP HELP
Tommy rides in a motorboat against a river current for 25 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 10 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 12 km/h.

Answers

The speed of current is [tex]\rm 2 \:km/h[/tex].

What is the relation between distance,speed and time?

The relationship between distance, time and speed can be presented as:

[tex]\begin{aligned} \rm Distance &= Speed \times Time\\\\Speed &= \dfrac{\rm Distance}{Time} \\\\\rm Time &= \dfrac{\rm Distance}{\rm Speed} \end[/tex]

Calculations:

Given:

[tex]\begin{aligned} \rm Distance\: traveled\: on\: motorboat &= 25\:km\\\rm Speed\:of\:motorboat\:in\:still\:water &= 12\:km/h \end[/tex]  

 

Let the speed of the current be [tex]\rm x[/tex]

 

The speed of the boat traveling against the current is [tex]{(12 -\rm x) km/h}[/tex]

 

Time spent on motorboat is 10 hours less than time spent on raft.

Therefore:

[tex]\rm \dfrac{25km}{x\:km/h} - \dfrac{25km}{(12 - x)km/h} = 10[/tex]


The equation obtained will be:

[tex]\dfrac{25}{\rm x} - \dfrac{25}{(12-\rm x)} - = 10[/tex]

 

Multiplying both sides of the equation by [tex]\rm x(12 - x )[/tex]

[tex]\begin{aligned} \rm 25(12 - x) - 25x &= 10\times \rm x(12 - x)\\\\300 - 25x - 25x &= 120x - 10x^2\\\\300 - 50x &= 120x - 10x^2\\\\10x^2 - 120x - 50x + 300 &= 0\\\\10x^2 - 170x +300 &= 0\end[/tex]

Dividing the equation by 10

[tex]\rm x^2 - 17x + 30 = 0[/tex]

On factoring the equation,

[tex]\rm =x^2 - 2x -15x + 30 = 0\\\\=x(x - 2) -15(x - 2)\\\\=(x - 2)(x - 15)[/tex]

The values of x is 2 and 15.

Since speed of current i.e  [tex](12 -\rm x)km/h[/tex] cannot be negative, [tex]\rm x = 2[/tex] is the only acceptable value.

 Therefore the speed of current is 2 km/h.

Learn more about the topic here:

https://brainly.com/question/2292310

Using lengths a, b, and c in the right triangle shown, how are the trigonometric functions of defined?

Answers

We need to see the triangle to answer this question.

Answer:

take a pic.of question

Step-by-step explanation:

gotta see the triangle

pls answer this-.....​

Answers

AnswerS:

Let A be the surface area, b the base, h the height;

h₁=8.4 cm

h₂=7.8 cm

b= 9 cm

A= 3(1/2bh₁)+1/2 bh₂

A=3(1/2(9)(8.4))+1/2 (9)(7.8)

A= 148.5 cm³

Answer:

Step-by-step explanation:

The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.

Surface area of the square pyramid is given as:  

Where,

B.A = Base Area of the pyramid = 9*9 = 81 in²

P = perimeter of the base = 4(9) = 36 in

L = slant height of pyramid = 9.2 in

Plug in the values into the given formula to find the surface are

what shape can be formed from the following net?​

Answers

Answer:

A Triangular Prism    

Hope that helps!

Step-by-step explanation:

Answer: Triage

Step-by-step explanation:

Given that A and I are the centers of the congruent circles shown below, compare the quantity in column A with the quantity in column B. Choose the best answer. The quantity in column A is greater. The quantity in column B is greater. The two quantities are equal. The relationship cannot be determined from the information given.

Answers

Answer: The two quantities are equal

Step-by-step explanation:

Edge2021

C. The two quantities are equal

Step-by-step explanation:

Edge 2020 2021

please help i will give brainliest

Answers

Answer : Line 1


Explanation: at the 1 hour mark on the x axis the line that goes through the 120 mark on the y axis is line 1

But least to greatest

Answers

Answer:

8.933,8.96,9.05,9.065,9.08,9.1

Step-by-step explanation:

98.8% of 668.49km NEED ANSWERS QUICK

Answers

Answer:

the answer would be  660.46812 km

Step-by-step explanation:

The computation is shown below:

According to the question it is mentioned what is the 98.8% of 668.49 km

So, it would be

= 98.8% of $668.49 km

= 98.8% × 668.49 km

= 660.46812 km

Hence, the answer would be  660.46812 km

also (area O O O O O O​

Answers

Answer:

slide A= 6

slide B= 8

perimeter= 36

Area = 80

Step-by-step explanation:

Answer:

slide A= 6

slide B= 8

perimeter= 36

Area = 80

Step-by-step explanation:

Often, frequency distributions are reported using unequal class widths because the frequencies of some groups would otherwise be small or very large. Consider the following​ data, which represent the daytime household temperature the thermostat is set to when someone is home for a random sample of households. Determine the class​ midpoint, if​ necessary, for each class and approximate the mean and standard deviation temperature.
Temp Frequency Class Midpoint
61-64 34 63
65-67 68 66.5
68-69 196 69
70 191 70.5
71-72 122 72
73-76 81 75
77-80 52 79
The sample standard deviation is _____degrees°F.

Answers

Answer:

The sample standard deviation is 13.22°F

Step-by-step explanation:

Given - Often, frequency distributions are reported using unequal

            class widths because the frequencies of some groups would

            otherwise be small or very large. Consider the following​ data,

            which represent the daytime household temperature the

            thermostat is set to when someone is home for a random sample

            of households. Determine the class​ midpoint, if​ necessary, for

             each class and approximate the mean and standard deviation

             temperature.

Temp                    Frequency                        Class Midpoint

61-64                         34                                         63

65-67                         68                                         66.5

68-69                         196                                        69

70                              191                                         70.5

71-72                         122                                         72

73-76                          81                                           75

77-80                          52                                           79

To find - The sample standard deviation is _____degrees°F.

Proof -

Temp         Frequency(f)            Midpoint(m)           m×f        ( m - 70.73 )²×f

61-64                34                            63                   2142          2031.6

65-67                68                            66.5                4522           1216.7

68-69               196                            69                  13524          586.6

70                     191                           70.5               13465.5        10.1

71-72                122                           72                   8784             196.8

73-76                  81                            75                   6075             2224.4

77-80                  52                            79                    4108            3556.4

                   ∑f = 744                                    ∑m×f = 52620.5     ∑ = 9822.6

So, Mean = [tex]\frac{52620.5}{744}[/tex] = 70.73

Sample standard deviation = [tex]\frac{9822.6}{744 - 1} = \frac{9822.6}{743}[/tex] = 13.22

∴ we get

The sample standard deviation is 13.22°F

Use each number in the box once to complete the division
5÷6,206

Answers

Answer:

i believe it is 1,241.2

Step-by-step explanation:

well you use long division.

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