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

Answers

Answer 1

Answer:

(y+2)= -3(x-7)

Step-by-step explanation:

We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:  

y = m x + b

 Where  m  is the slope and  b  is the y-intercept value.

We can substitute the slope into the formula giving:

y = − 3 x + b

Next, we can substitute the values from the points in the problem for  x  and  y  and solve for  b :

− 2 = ( − 3x 7 ) + b  

− 2 =  − 21 + b

21 − 2 = 21  − 21 + b

 19 = 0 + b

19 = b

We can now substitute the slope from the problem and the value for  b  we calculated into the formula to write the equation.

y = − 3 x + 19

Another process is to use the point-slope formula. The point-slope formula states:

 ( y − y 1 ) = m ( x − x 1 )

 Where  m  is the slope and  ( x 1 , y1 )  is a point the line passes through.

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

(y − − 2 ) = − 3 (x-7)

( y + 2 ) =  − 3 ( x − 7 )


Related Questions

A cheer squad of 8 cheerleaders raised $317.30. They need $622.42 to
pay for the Homecoming dance. If each cheerleader raises the same
amount, how much more does each cheerleader need to raise?

Answers

Answer:

Each cheerleader needs to raise 38.14 more

Step-by-step explanation:

Answer:

They each need to raise $38.14.

Step-by-step explanation:

For this problem, I started off by subtracting 317.30 from 622.42.

(622.42-317.30) This gave us 305.12.

I did this, because we are trying to find the amount of money the cheerleaders have left to make.

Next, we will divide the difference of this equation (305.12) by 8.

We did this because there are 8 cheerleaders, and they all made the same amount of money.

This leaves us with an answer of:

Each cheerleader has exactly $38.14 left to make.

The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball court. On your worksheet, solve the question and write your answer below. What is length of the basketball court? What is the width of the basketball court?

Answers

Answer: W=25 and L=50

Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.

Answer:

The width of the basketball court is 25 feet and the length is 50 feet

Step-by-step explanation:

Equations:

Let's make:

x = width of the basketball court

2x = length of the basketball court

The perimeter of the court is twice the width plus twice the length:

P = 2x + 2(2x)

P = 2x + 4x = 6x

It's known to be 150 feet, thus:

6x = 150

Dividing by 6:

x = 150/6

x = 25 feet

2x = 50 feet

The width of the basketball court is 25 feet and the length is 50 feet

i need help with number 5

Answers

Answer:

the graph is not exponential because exponential is represented as a form of exponenti growth or exponential decay. Exponential function has a slight curve rather than a straight line

The person above me is right^^

Olivia is thinking of a number. she says, "my number is odd. It is a factor of 30 and a multiple of 3" There are two numbers she is thinking of, what are those numbers?

Answers

Answer: The answer is 15


Explanation: 3 can go into 15

When 20 large rooms are occupied, the total amount of money collected from the large room is $1800. When 10 large rooms and 21 small rooms are occupied, the hotel collects $2370. How much does the hotel charge for each small room?

PLEASE I NEED HELP ITS DUE TODAY!

Answers

It is 70
i cant explain it right now i have work to do so sorry:)
Large room price:
20L = 1800
L = 90

10L + 21S = 2370

Then substitute what you know L is and solve for S (small room cost)
10(90) + 21 S = 2370
900 + 21 S = 2370
21S = 1470
S = 70

What is the value of x?
Enter your answer in the box.

x = ___

Answers

The value of x from the given diagram using the similarity theorem of a triangle is 7

In order to get the value of x from the given triangle, we will use the similarity theorem of a triangle.

From the given triangle, the following equation is true;

5/40 = 3/2x + 10

Cross mutiply

5(2x + 10) = 3(40)

10x + 50 = 120

10x = 120 - 50

10x = 70

x = 7

Hence the value of x from the given diagram is 7

Learn more here: https://brainly.com/question/23961310

10x -20 plus 7x plus 4 equals 180 what is x

Answers

Answer:

x is approximately 11.5

Explanation:

10x - 20 + 7x + 4 = 180

17x - 16 = 180

17x = 196

x is approximately 11.5

3) Select ALL the expressions that are equivalent to 6x + 1 - 4(2x-1).

A) 6X + 1 - 8X - 4

B) 6X + 1 - 8X + 4

C) -2X + 5

D) 6X + 1 + -8X + 4

Answers

The ones equivalent to that expression are B and C

In a physics lab, an artifact is dropped from the roof of the school building, 98 feet above the ground. The height ݄ (in feet) of the ball above the ground is given by the function h(t)=-16t^2+98, where t is the time in seconds.

Answers

Answer:

The algebraic expression h = 16 feet.

Please help I’ll give you brainleast and thanks

Answers

Answer:

i got 49

i think its correct

Step-by-step explanation:

All angles in a triangle must add up to 180. So 90+49+?=180 in order to find the. Mystery number we add 90+49 to get 139. And then we figure out what number plus 139 equals 180 . That number would be 31

Ryan ordered some books online and spent a total of . Each book cost and he paid a total of for shipping. How many books did he buy?

Answers

Answer: 12 books

Step-by-step explanation:

First you need to remove the cost of shipping from the total amount:

= 75 - 3

= $72

The above is the total amount spent on the books without shipping.

If each book cost $6, the total number of books bought is:

= 72 / 6

= 12 books

Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.

Answers

Answer:

I think its OB but I'm not sure

Step-by-step explanation:

Help my friendddddddddddd

Answers

Hey ur literally owowowo I can’t stop

Answer:

It would be a positive correlation

Step-by-step explanation:

Does anyone under stand this one ??

Answers

Answer:

its c i belive'

Step-by-step explanation:

About 8 out of 15 homes have a
dog as a pet. On a street with 165
homes, how many would you
expect to have a dog for pets?
with dogs

Answers

i believe 88 homes have pets

A guitar string vibrates back and forth 88 times in 1 minute. Round your answers to the following questions to the nearest tenth.

How many times does it vibrate per second?

Answers

Answer:

1.5

Step-by-step explanation:

divide 88÷60=1.4666667

simplify to nearest 10th

A bag contains 19 cards numbered 1 through 19. A card is randomly chosen from the bag. What is the probability that the card has a multiple of 3 on it

Answers

Answer: 6/19

Step-by-step explanation:

To solve this question, find out the number of multiples of 3 between the numbers 1 - 19.

The multiples of 3 there are:

= 3, 6, 9, 12, 15 and 18

There are 6 multiples.

Probability will therefore be:

= Number of multiples of 3/ Total number of cards

= 6/19

True or False

calculator found in cp is better to use than an ordinary calculator in computing the number of seedling needed
paki explain po.​

Answers

Answer:

for saken it is better to use ordinary calculator than cp because they have a big difference. That's all I can say

A football team with a probability of 0.8 of winning a game plays 50 games in a season. What is the probability
of the team losing a game?

Answers

The probability of losing a game is 0.2

I showed this to my sister and she is a math teacher and she said this is 100 percent right

ted wants to buy a skateboard that is 59 dollars but is 30 percent off how much will he save

Answers

Answer:

Step-by-step explanation:

Ted will save $15.

Answer:

He will save $17.7.

Step-by-step explanation:

30% of 59= 41.3

59-41.3= 17.7

If each of the two equations shown below are graphed in the same xy-coordinate plane, the graphs intersect. What is the x -coordinate of one of these points of intersection? y = 2x−9 y=−(x−1)2−7

Answers

Answer:

The graphs do intersect at two values of x;

x = 1

and

x = -1

Step-by-step explanation:

We have the two equations:

y = 2*x - 9

y = -(x - 1)^2 - 7

We know that when we graph these equations, the graphs do intersect.

if the graphs intersect, then we must have at least one point (x, y) that is a solution for both equations.

because in this point y is the same for both equations, then we can write:

2*x - 9 = y = -(x - 1)^2 - 7

this leads to the equation:

2*x - 9 = -(x - 1)^2 - 7

now we can solve this for x.

2*x - 9 + (x - 1)^2 + 7 = 0

2*x + x^2 - 2*x + 1 + 7 - 9 = 0

x^2 - 1 = 0

x^2 = 1

x = √1

Then we have two possible solutions:

x = 1, and x = -1

jane cycled 32km, correct to the nearest km.

write the least distance and the greatest distance Jane could have cycled.

least:

greatest:

Answers

Answer:

31.5

and

32,4

Step-by-step explanation:

the cos c of recycle Tin can varies directly as it's weight w in kilograms .if a junk shop pays 60 pesos per kilo of tin cans how many kilos should a junk shop pay an amount of 390 pesos​

Answers

Answer:

Step-by-step explanation:

c = 60w

390 = 60w

w = 6.5 kilograms

eishdjjsdjjxjxididhdjxix

Answers

42 (divide 256/6 and you get 42.6666 but you can only fill 42 completely, not 43 cuz one would be only 60% filled)
42 just divide 256 by 6

A parking lot has 7 red cars out of a total of 35 cars. What percent of the cars in the parking lot are red? Enter your answer in the box.​

Answers

Answer:

20%

Step-by-step explanation:

Answer:

% of Red CARS = 20%

Step-by-step explanation:

Total CARS = 35

Red CARS = 7

% of Red CARS = (red cars ÷ total cars)*100

% of Red CARS = (7÷35)*100

% of Red CARS = 20

solve for N
what's the rule

Answers

Answer:

n = 8

Step-by-step explanation:

The rule for this table is multiply x by 4 to get y. To solve for n, divide y (32) by 4 to get x (8).

Hope it helps!

Solve: -8(x - 3y - 9)
Your answer

Answers

-8x + 24y + 72

————————-

Answer: −8x+24y+72

-8(x - 3y - 9)

=(-8)(x + -3y + -9)

=(−8)(x)+(−8)(−3y)+(−8)(−9)

=−8x+24y+72

Step-by-step explanation:

im not entirely sure but i hope this helps

:) have a nice day !!

whitch of the functions below could have created this graph

Answers

Answer:

C

Step-by-step explanation:

2 roots: 1 , -1

f(1) = 0 and f(-1) = 0   only function C fit the condition

Consider the relationship in special right triangles to determine the tangent ratio for a 45 degree angle. Give your answer, as necessary, to the nearest thousandth place (three decimal place values).

Answers

Answer:

1

Step-by-step explanation:

The tangent of a angle is opposite side/ adjacent side

In a rights triangle with a 45° angle we have a special 45-45-90 triangle.

The legs of the triangle are congruent and are the opposite and adjacent sides of the 45° angle.  Therefore, the ratio of those two sides is 1.

Therefore, the tangent of 45° = 1

How many tons are equal to 36,000 pounds

Answers

Answer:

18

Step-by-step explanation:

18 US tons are equal to 36,000 pounds

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