Mathematics High School

Find the equation of the line
passing through the points (3,1)
and (7,-7).
y = [? ]x + []

Find The Equation Of The Linepassing Through The Points (3,1)and (7,-7).y = [? ]x + []

Answers

Answer 1

Given:

A line passes through two points are (3,1) and (7,-7).

To find:

The equation of the line.

Solution:

The line passes through two points are (3,1) and (7,-7). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-1=\dfrac{-7-1}{7-3}(x-3)[/tex]

[tex]y-1=\dfrac{-8}{4}(x-3)[/tex]

[tex]y-1=-2(x-3)[/tex]

Using distributive property, we get

[tex]y-1=-2(x)-2(-3)[/tex]

[tex]y-1=-2x+6[/tex]

Adding 1 on both sides, we get

[tex]y=-2x+6+1[/tex]

[tex]y=-2x+7[/tex]

Therefore, the equation of line is [tex]y=-2x+7[/tex]. So, the missing values are -2 and 7 respectively.

Related Questions

9. Solve by completing the square.
x² + 8x + 3 = 0

Answers

Answer:

x = -4 ± √13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Complete the Square

Step-by-step explanation:

Step 1: Define

x² + 8x + 3 = 0

Step 2: Solve for x

Subtract 3 on both sides:                     x² + 8x = -3Complete the Square:                          x² + 8x + 16 = -3 + 16Rewrite:                                                 (x + 4)² = 13Square root both sides:                        x + 4 = ±√13Subtract 4 on both sides:                     x = -4 ± √13

Ellie took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.50 plus $5 per mile. The total fare was $76,50, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.


I dont understand this​

Answers

Answer:   1.50+5m=76.50 m=15

Step-by-step explanation:

The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

pick-up fee = $1.50 plus $5 per mile

Since, m is the number of miles in the taxi ride

So, equation for pick-up fee for m miles,

pick-up fee = $1.50 + $5m

Now total fare = $76,50

Thus, required equation to determine m is given as,

1.50 + 5m = 76.50

Subtracting 1.5 both the side we get,

1.50 + 5m - 1.5 = 76.50 - 1.5

⇒ 5m = 75

or, m = 75/5

⇒ m = 15

Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

To learn more about equation :

https://brainly.com/question/25271125

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PLz answer i really dont know math plz tell me the correct answer

Answers

Answer:

a

Step-by-step explanation:

With the equation I did 8 * -3/4 + 8 because and I did that with the rest but the only table that is correct using the equation is table a. Hope this helps! :)

3/8b+3/4kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkokokokokokokokokokokokokokok

Answers

Answer:

This question is hot.

Step-by-step explanation:

Answer:

what? thx for the

points

Step-by-step explanation:

help..
The length of one side of a shoebox is 8 centimeters more than twice the width. The base of the shoebox has an area of 72 square centimeter.
Write an equation to represent this situation with w representing the width in centimeter

Answers

Answer:  [tex]w^2+4w-36=0[/tex]

Step-by-step explanation:

Let w = width of the base of the shoebox.

As per given ,

Length = 8+2w centimeters

Area of base = 72 square centimeter

Area of rectangle =  Length x width

[tex]\Rightarrow\ 72=w(2w+8)\\\\\Rightarrow\ 72= 2w^2+8w\\\\\Rightarrow\ 2w^2+8w-72=0\\\\\Rightarrow\ w^2+4w-36=0[/tex]

Required equation: [tex]w^2+4w-36=0[/tex]

Find the sum of the following arithmetic series.
8 +13+ 18+23+ ... + 83
The sum of this series is
(Simplify your answer.)

Answers

Answer:

its literally +5

Step-by-step explanation:

13-8= 5

18-13=5

23-18=5

HELP DO NOT KNOW HOW TO DO THIS!!!!!!!

Answers

Answer:

x = 8

Step-by-step explanation:

( 6x + 1 ) + 90 + ( 5x + 1 ) = 180

6x + 1 + 90 + 5x + 1 = 180

11x = 88

x = 8

Which expression is equivalent to 5 x (-3)?
O (-5)+(-5) + (-5) + (-5)+(-5)
O (-3)+(-3) + (-3) + (-3) + (-3)
O 5 + 5 + 5
O 3+3+3

Answers

The second option: (-3)+(-3)+(-3)+(-3)+(-3) is correct because you are multiplying the -3 five times
Hope this helps!

Answer:

The answer would be the second

Step-by-step explanation:

5 x (-3) is the same as -3, 5 times

The ratio of apples to oranges is 2 to 3. If there are a total of 25 pieces of fruit, how many of each type of fruit are there

Answers

10 apples 15 oranges

please help just download the document, try to complete it and make a question adressing it to me please

Answers

the picture is blank :(

answer correctly please the test is worth 60 % of my grade

Answers

Answer:

i  believe x is 12.

Step-by-step explanation:

three times three is nine, so you multiply four by three to get 12. you can also check your answer by dividing 12 by three and 9 by three to get 4,3 so the answer is correct.

Answer:

x=12

Step-by-step explanation:

How I solved this is by making a proportion with fractions In your first fraction the numerator is 4 and your denominator is 3. In your second fraction your numerator is x and your denominator is 9. You would multiply 4 times 9 then divide by 3 to get your answer. I hope this is correct and good luck!!

Use the commutative property of addition to rewrite 3 + 4 +6.
Which expression is equivalent?
A. 4 + 3 + 6
B. 3(4 + 6)
C. (3+4) - 6
D. 3+ 1 + 8

Answers

the answer is A
hope this helps

Answer:

A. 4 + 3 + 6

Step-by-step explanation:

The commutative property of addition is changing the order of addends in a way that won't change the sum. The original problem was 3 + 4 + 6, so all you have to do was flip some of the numbers with each other.

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD=3 and DC=12, what is the length of BD?

Answers

Answer:

The answers is 8.06on DeltaMath

Step-by-step explanation:

The length of BD which is the altitude of the right angle triangle will be 6 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.

A right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 3 and DC = 12.

Then the equation is given as,

BD² = AD x DC

BD² = 3 x 12

BD² = 36

BD = 6

The length of BD which is the altitude of the right angle triangle will be 6 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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BRAINLIESTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

45

Step-by-step explanation:

38-2+9

Answer:

45

Step-by-step explanation:

38−6÷3+9

38−2+9

36+9

45

Brainlist Please!

David deposited $550 in an account that earns 5% simple annual interest.
Richey deposited $550 in an account that earns 5% annual compounded
annually. They leave the money with no withdrawals or deposits for 3 years.
Which statement is true about the two investments after 3 years?
A David will have $31.19 more in his account than Richey has in his
account
B Richey will have $123,69 more in his account than David has in his
account
C Richey will have $4.20 more in his account than David has in his account,
D David will have $82.50 more in his account than Richey has in his

Answers

A is the correct answer


PLEASE HELP ASAP!!!!!

Answers

Answer:

[tex]\huge\boxed{\sf x = 20}[/tex]

Step-by-step explanation:

=> Since it is an equilateral (Having all angles and all sides equal)  triangle, so every angles will be equal to the other.

=> The sum of the measures of interior angles of triangle add up to 180 degrees.

So,

3x + 3x + 3x = 180

9x = 180

Divide both sides by 9

x = 20

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Help please! Thanks, will give brainliest if correct. Answer only if you know this.

Answers

Answer:

The answer is 0.20

Step-by-step explanation:

Answer: 0.20

Step-by-step explanation:

Jake is selling cookies there 60 cookies in a package how many cookies are there in three packages ?

Answers

Answer:

180 cookies

Step-by-step explanation:


Levi read 4 books in 16 months. What was his rate of reading in months per book?

Answers

4/16 = 0.25 books per month

Answer:

0.25

Step-by-step explanation:

Which function is best represented by the graph?

Answers

The slope is negative since the line is going downwards. Y intercept: when x = 0 and looking on the graph it’s (0,-2)

Solution: B. y = -2x - 2

From 83 hours to 76 hours? And is it a increase or decrease?

Answers

Answer:

decrease

Step-by-step explanation:

Answer:

decrease

Step-by-step explanation:

k) 12y + 15 + y – 3 6y – 9 = y
alguien me puede ayudar por favor?:(

Answers

13y+12,6y−9=y

2 Switch sides.

y=13y+12,6y-9y=13y+12,6y−9

3 Break down the problem into these 2 equations.

y=13y+12y=13y+12

y=6y-9y=6y−9

4 Solve the 1st equation: y=13y+12y=13y+12.

y=-1y=−1

5 Solve the 2nd equation: y=6y-9y=6y−9.

y=\frac{9}{5}y=

​5

​

​9

​​  

6 Collect all solutions.

y=-1,\frac{9}{5}y=−1,

​5

​

​9

​​  

Step-by-step explanation:

i dont know what u said so i solved for y

Answer:

y = 1/4

Step-by-step explanation:

Yo no comprehendo espanol mucho, but I'll try

12y + 15 + y - 36y - 9 = y

Rearrange

12y + y (-y) + 15 (-15) - 36y - 9 (+9)= y (-y) (-15) (+9)

12y - 36y = - 15 + 9

-24y = - 6

Divide both sides by - 24 (Take note of the signs (+) (-))

-24y/-24 = - 6/-24

y= 1/4

Keisha has a bag that contains 3 red, 2 orange, 1 yellow, and 2 purple marbles. She will randomly choose 1 marble from the bag. What is the probability that Keisha will choose an orange marble?

a. 1/4
b.3/8
c.1/8
d.2/4

Answers

Answer- a. 1/4
Explanation- If you count all the marbles you get 8 and there are 2 orange marbles. When you simplify, you can get a 1/4 chance of getting an orange marble.

What is 345578 divide by 243

Answers


1,422.13169

Explanation:

Bananas are 5 for 79 cents . Isaiah bought 7 bananas. How many did Isaiah spend?

A. $1.58
B. $1.18
C.$1.11
D.$1.01

?

Answers

C it’s always c. When in doubt always chose c

Help Help Help Help please
Brainliest if correct
​

Answers

Answer:

least to greatest

|y-z|

|x-y|

|x-z|

z

Step-by-step explanation:

PLEASE HELP. Write the equation in slope-intercept form for the line that contains the points
(3,-5) and (5,- 1)
a. y = 2x + 11
b. y = 2x + 1
c. y = 2x - 11
d. y = 2x - 1

Answers

Answer:

y=2x-11

Step-by-step explanation:

what is -2(3x+1)+4=17

Answers

Answer:

Exact Form: x= -5/2

Decimal Form: x= -2.5

Mixed Number Form: x= -2 1/2

Step-by-step explanation:

Hope this helps!

The answer is x = -5/2

I WILL GIVE BRAINLIEST PLEASE HELPPP
A car travels 180 m southeast in 30 s. What is the average velocity? (Lesson 2.01)
Show your work and include units.
Step 1: write formula
Step 2: list “givens”
Step 3: plug in numbers
Step 4: calculate & write answer
Step 5: add units

Answers

Answer:

Velocity = Distance / Time

v = d/t

v = 180m/30s

v = 60 m/s

The average velocity 60 m/s

State two other ways to name

Answers

2 other wats to name wat
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