Write the equation of a line that has a slope of 3 and passes through the point (5, 7).
O y = 3x + 8
O y = 5x + 7
O y = 3x - 8
O y = 7x + 5

Answers

Answer 1

Answer:

y = 3x - 8    

Step-by-step explanation:

All the options are written in slope-intercept ( [tex]y = mx + b[/tex]) form. So, what we can do with the given information is write the equation in point-slope form first, then convert it to slope-intercept form.  

1) First, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the point-slope equation of the line. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

Since [tex]m[/tex] represents the slope, substitute 3 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (5,7) into the appropriate places in the formula as well. This gives the following equation of the line in point-slope form:  

[tex]y-7 = 3(x-5)[/tex]

2) Now, isolate y in the above equation to find its slope-intercept form.

[tex]y-7=3(x-5)\\y-7 = 3x-15\\y = 3x -8[/tex]

Thus, the answer would be the third option as it matches the result we received.


Related Questions

x +2y = 4
Does the ordered pair (2,1) satisfy the
y = 3x - 1 ? Justify your answer.
system

Answers

It does not satisfy both because when you plug in the ordered pair on the second problem, it becomes 1=3(2)-1 and when worked out that gives you 1=5 which is untrue.

Ayesha, Laurel, Gemma, Reid, Emma, Gita, and Maas write their names on small pieces of paper and put them into a hat. A name is pulled from the hat without looking. Use a fraction to describe the theoretical probability of each event. Then order the events from most likely to least likely. The name drawn starts with a "G." The name drawn does not start with a vowel. The name drawn ends with an "a." The name drawn contains an "e." The name drawn contains a "z."​

Answers

Answer:

Emma and Maas and other people

The ceiling of Katie's living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.

Answers

Answer:

3

Step-by-step explanation:

Steps to answering this question : Determine the perimeter of the ceiling Divide the perimeter of the ceiling by the length of the rolls of crepe paper

Perimeter of  square = 4l

Where l = length of a side

4 x 15 feet = 60 feet

60/20 = 3

Answer:

6

Step-by-step explanation:

took test

An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2
pounds of clay. The artist uses a total of 73.6 pounds of clay and glass to make the
bowls. Each bowl contains how many pounds of glass?

Answers

Yep because ceramic bowls have a certain depth in them

If a duck have speed of 6 m/s in 10 s. What is the duck's distance?

Answers

Answer:

60 meters

Step-by-step explanation:

hope this helps

please give the answer fast

Answers

Step-by-step explanation:

my personal opinion is that the answer is 20

Class interval median is 15-20
Frequency median is 80

Which of the following tables does not represent a linear relationship between x and y?

Answers

Answer:

The first one is not liner

Step-by-step explanation:

This isn't linear because the y values increase inequally. It adds 2 and then 3 instead of keeping a constant rate

(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how much total will he have paid after three years? ​

Answers

Answer:

The total amount that he would have paid after 3 years is $1183.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

I represents interest paid on the amount owed.

P represents the principal or initial amount owed.

R represents interest rate

T represents the duration for which the amount was owed in years.

P = $795

R = 16.25

T = 3 years

I = (795 × 16.25 × 3) ÷ 100

I = $388

Total amount that he would have paid after 3 years is $795 + $388 = $1183

The total amount that he would have paid after three years would be $1183.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

The given data as per the question

P = $795

R = 16.25

T = 3 years

Simple interest =  P × R × T

Substitute the values,

Simple interest = (795 × 16.25 / 100 × 3)

Simple interest = (795 × 0.1625 × 3)

Simple interest = $388

The total payback amount :  $795 + $388 = $1183

Therefore, the total amount that he would have paid after three years is $1183.

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What is the slope of this line??

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

m= 8/5

Step-by-step explanation:

Points on the graph: ( -4, -4) and (1, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(1+4)

m= 8/5

HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?

Answers

The minimum number of moves required for a given number of disks.

We have given that,

The sequences are number of moves 1, 3, 7, 15, 31, 63,

2,2, 4, 8, 16, 32, 64,

Compare the two sequences.

Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.

What is the sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

You can find any term in the sequence of moves using the formula

[tex]a_1=2^n-1[/tex]  

No one cares about the explanation good luck with your grade Bois.

The minimum number of moves required for a given number of disks.

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Answer:

Each term in the sequence of moves is 1

less than the corresponding term in the

sequence of differences.

You can find any term in the sequence of

moves using the formula

Step-by-step explanation:

Find x and y and c. Answer this is the next 2 days please.

Answers

Here:

(I added you to the doc so you can see it, don't worry)

Can someone help me again please ?!

Answers

Actually, if you notice that two of the lines are parallel, the answer is x=53!

Answer: Answer is 53

Step-by-step explanation:

A bag contains different color marbles, 4 blue marbles, 7 yellow marbles, 5 red marbles, and 2 green marbles.
Frank draws one marble, 36 times, replacing the marble each time. Use theoretical probability to predict how many times Frank will draw a green marble.
Frank will draw a green marble ___ times.

Answers

Answer:

2/36

Step-by-step explanation:

HELP ME !!
The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the y-intercept, and what does it mean in this context?

A)The y-intercept is 6.5 and represents the number of toys produced increases by about 6.5 for each $1 increase in cost.
B)
The y-intercept is 1500 and represents the costs $1500 to run the factory if no toys are produced.
C)The y-intercept is 1500 and represents The factory can produce 1500 toys at no cost.
D)The y-intercept is 6.5 and represents the cost increases by $6.50 for each toy produced.

Answers

Answer:

B

Step-by-step explanation:

This is because 6.5n is the slope and the +1500 is the y-intercept. Remember its y=mx+b.

Answer:

B

Step-by-step explanation:

Hope this helps have a great day :)

cosec 45^0
= ______ .​

Answers

Answer:

cosec45° = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the identity

cosec x = [tex]\frac{1}{sinx}[/tex] and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

Then

cosec45° = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]

Can someone please help me?

Answers

Answer:

Solution given:

1.KU =UE Def.of midpoint

2.LU=UT Def.of midpoint

3.<KUL=<TUE Vertically opposite angle

4.∆KLU=∆ETU. S.S.A. axiom

Step-by-step explanation:

It will help you !!!!!!!!!!!///

The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?

Answers

The discounted price of a pizza will be $1.8.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The pizza shop offers a 15 percent discount for veterans and senior citizens.

And, The price of a pizza = $12

Now,

Since, The price of a pizza = $12

And, The pizza shop offers a 15 percent discount for veterans and senior citizens.

Hence, The discounted price of pizza = 15% of $12

                                                          = 15 x 12 / 100

                                                          = $1.8

Thus, The discounted price of a pizza will be $1.8.

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Answer:

You can subtract the discount percent from 100% and then multiply that by the original price.

from the top of the tower the angle of depression of a bottom of a pillar on the same surface of height is 20 metre is 60 degree. if the angle of depression from the top of the pillar to the bottom of a tower is 22 degree. find the height of the tower.​

Answers

Answer:

85.74 m.

Step-by-step explanation:

tan 22 = 20/x where x is the distance between the tower and the pillar.

x = 20 tan 22 = 49.50.

tan 60 = h/49.50   where h is height of the tower

h = 49.5 tan 60

= 85.74 m.

The segments shown below could form a triangle.

A. True
B. False

Answers

The answer is True.
The answer is true because it just is

true or false? typing 720 words in 12minutes is equal to 60 words per minute

Answers

Answer:

720/60

=12

Yepz

Step-by-step explanation:

True

Hope it helps

Answer:

It's True

Step-by-step explanation:

1 minute = 60 words

then how many words in 12 minutes?

So, Multiply 12 with 60

12 × 60 = 720

Thus, 720 words can be type in 12 minutes

-TheUnknownScientist

A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive bounce is 67% of the previous bounce's height. What would be the height of the 8th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

Answer:

4.79

Hope this helps! :D

Answer: 0.2

Step-by-step explanation:

Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true?

Answers

Answer:

Step-by-step explanation:

Parallel lines: A and B

Rotation: 90° same direction

Translation: Right (same units)

A private club was reduced by 36 members in 4 weeks. Its size changed by the same number of members each week. What was the change in the club’s size each week?

Answers

Answer:

9 members per week

Step-by-step explanation:

If 36 people overall left over 4 weeks, you can do

36/4=9

C(a)=7500a−1500C, left parenthesis, a, right parenthesis, equals, 7500, a, minus, 1500, M(c) = 0.9c - 50M(c)=0.9c−50M, left parenthesis, c, right parenthesis, equals, 0, point, 9, c, minus, 50, y M(C(a))=6750a-1400M(C(a))=6750a−1400

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

A person invested $3,600 in an account growing at a rate allowing the money to
double every 7 years. How much money would be in the account after 17 years, to the
nearest dollar?

Answers

Answer:

$14400

Step-by-step explanation:

3600*2=7200 after the first 7 years

7200*2= 14400 after the next 7 years

17-14=3 years left after the first 14 years

The money in the account 17 years, to the nearest dollar is $20571.43.

Given that, a person invested $3,600 in an account growing at a rate allowing the money to double every 7 years.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Here, principal =$3600, money after 7 years= 2×3600 =$7200 and time period =7 years

2nd term:

Principal =$7200, money after 7 years = 2×7200=14,400

Thus, 17-14=3 years

Now, money for 3 years = 3/7 ×14,400

= $6171.43

So, money in the account after 17 years is

= 14400+6171.43

= $20571.43

Hence, the money in the account 17 years, to the nearest dollar is $20571.43.

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The bill at a restaurant is $32 before tax. The tax on the bill is 5%. How much is the final bill including tax?
O $30.40
O $33.60
o $37.00
O $48.00

Answers

Answer: $33.60(B)

Step-by-step explanation:

Short way:

100+5 = 105

Convert to decimal:

1.05

Multiply:

32(1.05) = $33.60

Answer: $33.60

Which one is smaller

Answers

Answer:

Jasmine

Step-by-step explanation:

Michelle: .75

Mike: .66

Rasheed: .83

Jasmine: .57

IWILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

(8x³+1-6x) - (7x³+3+7x)​

Answers

answer is the one boxed
Hopes this helps:

Answer: x^3 -2 -13x

The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.

Answers

Answer:

false

true

true

false

.......

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