What is the equation of the line that passes through the point (7,2) and has a slope of 1

Answers

Answer 1

Answer:

y=x-5

Step-by-step explanation:

For this, use point-slope formula, which is (y-y1)=k(x-x1), in which k is slope.

Now, substitute in your values. (y-2)=1(x-7)

Then, since you got y-2=x-7, add 2 to both sides.

You get y=x-5

Answer 2

y = x +5  is the equation of the line that passes through the point (7,2) and has a slope of 1.

What is an equation of a line?

The equation of a straight line is y=mx+c where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y-intercept. There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

given, a line that passes through the point (7,2) and has a slope of 1

Since the Slope of the line = 1

From the slope-intercept form of the line

y = mx + c

thus, the Equation of the line

y = 1 * x + c

y = x + c

Since this line passes through coordinates (7, 2 ) this point will satisfy the equation

7 = 2 + c

c = 5

hence, the equation of a line

y = x +5

therefore, the equation of the line that passes through the point (7,2) and has a slope of 1 is y = x +5.

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Related Questions

A chess team is ordering customized T-shirts for a competition. The table shows the cost of ordering different numbers of T-shirts. Write a
linear model that represents the cost as a function of the number of shirts

Answers

Answer:

y=8x+36

Step-by-step explanation:

Use y=mx+b.  First find m, the slope.  

To do that, use y2-y1/x2-x1.  Use any two point combinations from the table.  You can use (6,84) and (12,132).  

Y2 would be 132 and Y1 would be 84, and X2 would be 12 while X1 is 6.  Just look at the pointss.  For example, Y2 is 132 because (12,132).  132 is in y's spot.  Same goes for x.

Now that we got y2, y1, x2, and x1, we can plug it into the formula and solve.

y2-y1/x2-x1= 132-84/12-6= 48/6= 8

This means the slope is 8.  Now, we need to find the y intercept.

Use y=mx+b again and use any pair of points.  I'm going to use (6,84).

y=mx+b.  Plug in the slope, which is 8.

y=8x+b

y=8x+b.  Plug in the y.  The y variable is 84 so plug that in.

84=8x+b.  Same for the x.  The x variable is 6 so plug that in as well.

84=8(6)+b.  Now simplify it.

84=48+b.  You want to isolate b to find the y intercept so move the 48 to the left side.  

It's now 84-48=b.  The 48 because negative because whenever you move a number to the other side, it switches its sign.

Solve.

84-48=b

36=b or b=36.  So the y intercept is 36.

We now have our slope and the y intercept.  

Slope: 8

Y intercept: 36

We can plug that into y=mx+b a final time.

y=8x+36

The equation of the linear model is y = 8x + 36

The standard form of a linear equation is given by:

y = mx + b

Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).

Let x represent the number of T-shirts and y represent the cost

Therefore we can use any two points to determine the linear equation to represent the model of the line in the form (x, y).

Using the points (6, 84) and  (24, 228). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-84=\frac{228-84}{24-6} (x-6)\\\\y-84=8x-48\\\\y=8x+36[/tex]

The equation of the linear model is y = 8x + 36

Find out more at: https://brainly.com/question/24839942

Marty makes 3 plates of cookies. There are 12 cookies on each plate. Marty eats 4 of the cookies.which shows how many cookies are left

Answers

Answer:

There would be 32 cookies left but I can't see the plates so I guess just count the cookies and choose whichever picture has 32 cookies in it. Hope this helped

Answer:

There would be 32 cookies left but I can't see the plates so I guess just count the cookies and choose whichever picture has 32 cookies in it. Hope this helped.

Step-by-step explanation:

? /3 = -6/6 please help

Answers

Answer:

-3/3

-6/6

divide top and bottom by 2 gives you -3/3

A rectangle that is 2" x 3" has been scaled by a factor of seven suppose you want to scale the copy back to its original size what scale factor should you use

Answers

Answer:

5

Step-by-step explanation:

The 199.99 digital camera any purchase was on sale for 15% off what amount did Annie get out the price

Answers

Answer:

The discount is 30

169.99 is the price she will pay

Step-by-step explanation:

First find the discount

199.99 * 15%

199.99 * .15

29.9985

Rounds to 30.00

The discount is 30

199.99 - 30

169.99 is the price she will pay

Answer: About $30 less than the original price

Step-by-step explanation: 199.99x1.15 gives you 229.9885 and when you subtract 199.99 from that you get 29.9985 which is about 30 dollars.

What is the area of the rectangle?

Answers

Answer:

the answer would be C.

Step-by-step explanation:

First, you would set the x-6 beside the equation on top, then you would multiply the quadratic equation by x-6

Compare and contrast stocks and bonds. Drag each characteristic to the correct investment type.
Stock
Bond
coupon rate
higher risk
loan to a corporation
fixed maturity date
ownership of a corporation

Answers

Stock: High risk, Ownership of a corporation

Bond: Coupon rate, Loan to a corporation, Fixed maturity date

Verified by PLATO & EDMENTUM

help it’s geometry ^ pleaseee

Answers

For the reflection,

X: (3,-3)

Y: (-2,-2)

Z: (-3,5)

For the translation,

X: (0,1)

Y: (-5,2)

Z: (-6,9)

help asap!! the curriculum is plato

Answers

It’s C hope it helps

Let’s assume the 147 freshman maintained a 65% attendance rate during the first 4 week of school. If our next 4 week goal for attendance is a 70%, how many more students would need to attend daily for the next 4 weeks.

Please Help ASAP

Answers

Answer:

12 students  

Step-by-step explanation:

If 65% equals 147

Then to maintain 70% there is a need for 5% more

Which equals

5*147/65 ≈ 12 students

Answer:

12 students

Step-by-step explanation:

147 maintained 65% attendance for the 1st 4 weeks

the goal is 70% on the next 4 weeks

ratio and proportion:

147 students =         x        

       65                     70      

65 (x) = 147 (70)

x = 10,290  

         65

x ≈ 159 students

therefore, the number of students would need to attend

                 daily for the next 4 weeks is

                 = 159 - 147

                 = 12 students

Help me please!! Thank you!

Answers

Answer:

0.25 I think

Step-by-step explanation:

1/4 is 0.25

What is the slope for Δy = 27, Δx = –8

Answers

Answer:

The slope is - 3 3/8

Step-by-step explanation:

Mathematically, we can calculate the slope m using the formula;

m = Δy/Δx

From the question;

Δy = 27 and Δx = -8

The slope will thus be;

m = 27/-8 = - 3 3/8

Hi
How are you?

Answer this simple question for points :)
22+22=?

Answers

Answer:

44

Step-by-step explanation: (not quite sure on how to explain this)

22+22=44

2 2

2 2

4 4

ty :,)

which of the following is NOT a perfect square

answer any other questions on the sheet if possible please! will give brainliest

Answers

24 is not a perfect square

hi i am bored can any one play quizezz with me write the topic in comment

Answers

Answer:

omy-

Step-by-step explanation:

Answer:

If your bored then i would recomend a game called monster legends, and if you looking for a educational game try the ones on brain pop (sorry if i spelled wrong) i can not help you with multi-player.

Step-by-step explanation:

what is 20 =4 (g +2 )

Answers

Answer:

3

Step-by-step explanation:

4 ( g + 2 ) = 20

4 ( 3 + 2 ) = 20

4 ( 5 ) = 20

4 ⋅ 5 = 20

 20

Hope this

helps! <3

Determine the value of y, if x is 2.
y = |x| + 8
Answer:

Answers

answer: 10

y = |2| + 8

y = 2 + 8

y = 10

Patrick is designing a large square stained glass window for the library. If the area of the window is 36 square feet, how long each side?

A.72ft

B.6ft

C.18ft

D.9ft

Answers

Answer:

d

Step-by-step explanation:

divide 36 by 4 sides of the window. = 9 square feet

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

9514 1404 393

Answer:

  d.  z = -48

Step-by-step explanation:

When j ║ k, corresponding angles are congruent, so ...

  x = 4z +3y

  57 = y + z

and the same-side interior angles are supplementary:

  57 +x = 180   ⇒   x = 123

__

This lets us write two equations in y and z:

  3y +4z = 123

  y +z = 57

Using the second equation to write an expression for y, we have ...

  y = 57 -z

Substituting this into the first equation gives ...

  3(57 -z) +4z = 123

  z +171 = 123

  z = -48 . . . . . . . subtract 171

The value of z that makes j║k is -48.

___

The corresponding value of y is 105.

Given sin(t) = 7/25 for π/2 < t < π, what is cos(t)?

24/25
7/24
-7/24
-24/25

Answers

Your question: Given sin(t) = 7/25 for π/2 < t < π, what is cos(t)?

The correct answer would be -24/25

Type an equation for the line shown in the graph. (0, 2) y= [?] + [ ] ​

Answers

Answer:

Y - 2 = m (x - 0)

Step-by-step explanation:

Answer:

y= 2

Step-by-step explanation:

the graph in this photo shows that for the entire line, y=2. Although the x values are different the y values never change, whatever x value you have, the y value will always be 2 .

The equation would be y=2 but if you want to fill in the blanks, it would be

y=0x+2

What is the volume of 9m 5m 18m 10m 9m 24m

Answers

Answer:

450

Step-by-step explanation:

u multiply 9*5*10 and then u get the answer

Does anyone know What 0.6 divided by 36 is

Answers

36/ 0.6 is 60 ex: use a calculator

Answer:

1/60

Step-by-step explanation:

0.6/36 = 0.0166666667

1/60= 0.0166666667

The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second.
Find the numbers.

Answers

Answer:

4,8,14

Step-by-step explanation:

The three numbers are x = 4, y = 8 and z = 14 respectively.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the sum of three numbers as 26. The second number is twice the first and the third number is 6 more than the second.

Assume that the first number is x.

Then, the second number will be equal to 2x

The third number would be equal to (2x + 6)

Now, theirs sum is equal to 26. Therefore, we can write -

x + 2x + 2x + 6 = 26

5x + 6 = 26

5x = 26 - 6

5x = 20

x = 4

Then,

the second number (y) would be equal to (2 x 4) = 8

the third number (z) would be equal to (2 x 4 + 6) = 14

Therefore, the three numbers are x = 4, y = 8 and z = 14 respectively.

To solve more questions on equation modelling, visit the link below-

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The midpoint of AB is M(4,1). If the coordinates of A are (2,8), what are the
coordinates of B?

Answers

Answer:

(6,-6)

Step-by-step explanation:

2 to 4 is + 2 so 4+2 is 6 for X

8 to 1 is -7 so 1-7 is -6 for Y

Mary has bought 36 pounds of dog food. She feeds her dog
4
last?
pounds for each meal. For how many meals will the food
Write your answer in simplest form.

Answers

Mary will feed her dog 9 pounds for each meal
It would be 9 pounds

A file that is 228 megabytes is being downloaded. If the download is 19.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.

Answers

Answer: 56.7 megabytes

Step-by-step explanation:

Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of nickels, n?

0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36

Answers

Answer:A

Step-by-step explanation:

Answer:

Let n be the number of nickels and q be the number of quarters, then

n + q = 36 . . . (1)

0.05n + 0.25q = 6 . . . (2)

From (1): q = 36 - n . . . (3)

Putting (3) into (2) gives:

0.05n + 0.25(36 - n) = 6

Step-by-step explanation:

Based on your pattern, what would y be when x = 13?
answer asap!!​

Answers

Answer:

14,17,20

Step-by-step explanation:

Holy crp I'm sooo sorry. I started studying for my classes and didn't see this.

The y's increase +3 for every positive 1.

Answer:

38

Step-by-step explanation:

the rate of change is 3 and when x = 0 y = -1 so you multiply 3 times 13 witch equals 39 + (-1) = 38

Factoring

solve this and show the steps please, i know the answer but not the steps

25x^2-81

Answers

Answer:

( 5x-9) (5x+9)

Step-by-step explanation:

25 x^2 - 81

Rewriting

(5x)^2 -9^2

This is the difference of squares

a^2 -b^2 = ( a-b)(a+b)

(5x)^2 -9^2 = ( 5x-9) (5x+9)

25x^2 -81

Write the number in the exponential form with an exponent of 2

5^2 x^2 -81

Write the number in the exponential form with an exponent of 2

5^2 x^2 -9^2

Multiply the terms with equal exponents by multiplying their bases

(5x)^2 -9^2

Using a^2-b^2=(a-b)(a+b), factor the expression

(5x-9)× (5x+9)

Answer: (5x-9)×(5x+9)

PLEASE GIVE ME BRAINLIEST ANSWER

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