Mathematics College

Find the equation of the line passing through the points (3,1) and (7,-7)

Answers

Answer 1

Answer:

y = -2x + 7

Step-by-step explanation:

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the point (3,1) and (7,-7), calculate the slope:

[tex]\displaystyle m=\frac{-7-1}{7-3}[/tex]

[tex]\displaystyle m=\frac{-8}{4}=-2[/tex]

m = -2

No w we use any of the given points: (3,1) and substitute in the equation of the line:

y - 1 = -2 ( x - 3 )

Multiplying:

y - 1 = -2x + 6

Adding 1:

y = -2x + 7

Related Questions

what is the measure

Answers

Answer:

Step-by-step explanation:

t+t+10+t+20=180

3t+30=180

3t=180-30=150

t=150/3=50

t+20=50+20=70

exterior angle=180-70=110°

What is the cubic Yardage of a 60'X40'X6"
thick lab?

Answers

Answer:

ค้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํ ค้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎\ค้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

Step-by-step explanation:

A package of 5 pairs of insulated gloves costs $32.45. What is the unit price of the pairs of gloves ?

Answers

Answer:

$6.49?

Step-by-step explanation:

divide $32.45 by 5

20356000000000000 scientific notation

Answers

Answer:

2.0356 × 1016

Step-by-step explanation:

Does this scatter plot show a positive trend, a negative trend, or no trend?

Answers

it shows a negative trend

Answer:

no trend

a positive trend would start in the bottom left and go toward the top right

a negative trend would start at the top left and go town the bottom right

this is an example of no trend

Step-by-step explanation:

a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.

100 points! help please I need this

Answers

Answer:

5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)

Which of the following terms describes the 3 in the expression 3x+7

Answers

Answer:

Step-by-step explanation:

BRAINLIST SOFAST IF U HELP ME

Answers

Answer:

Step-by-step explanation:

what the last person said

Find the absolute maximum value of the function

Answers

Answer:

find ity yourself -_______________-

Step-by-step explanation:

two football players start running towards each other each other from the opposite ends of a 100- yard football field. The faster player runs at a rate of 30 feet per second. The slower player runs 20 feet per second. After how many seconds will they collide

Answers

Answer:

600

Step-by-step explanation:

Multiply both numbers by 12.

240

360

What is tan(x) equal to?
1
2
sin(x)
cos(x)
sin(x)/cos(x)

Answers

Answer: sin(x) / cos(x)

Step-by-step explanation: This is just a trigonometric identity you should have memorized :)

The ratio of the number of boys to the number of girls in the cast of a school play is 1:5 which statement must describe the cast of the play

Answers

Answer:

We have 3 boys and 2 girls. This gives a total count of 5. So we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25. So we have 5 lots of the ratio

Find the value of c -(x-5)(x+c)=x^2+2x-35

Answers

Answer:

Erm

Step-by-step explanation:

I think not

Answer:

c= ( 2 x + 7 ) ( x − 5 ) / 6 − x

Step-by-step explanation:

what is 1/5 x 5 1/3? help please

Answers

Answer:

1 1/15

Step-by-step explanation:

(I think)

And I am not a very good explainer

(sorry)

How many solutions are there to: 8x + 7 = 7 + 8x.

Answers

Answer: X make the equation true

Step-by-step explanation:

An insurance company offers a term life insurance policy with a renewable premium. The first year premium is $900. If the premiums increase 5.5% each year, how much will her premium be in 7 years? A $1,286 B $1,241 C $1,308 D $1,416

Answers

Answer:

The answer is B

Step-by-step explanation:

If first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

An insurance company offers a term life insurance policy with a renewable premium.

The first year premium is $900

The premiums increase 5.5% each year,

[tex]A=Pe^r^t[/tex]

5.5%=5.5/100 =0.055

[tex]A = 900(e)^0^.^0^5^5^\times^7[/tex]

[tex]A=900e^0^.^3^8^5[/tex]

A=900×1.46

A=$1308

Hence, if first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Henry owns seven dogs each day splits 13 cans of dog food equal among the dogs what is the number of cans of dog food that each dog gets in one day?

Answers

Answer: 1.8 cans

Step-by-step explanation:

Answer:

1.85 cans of dog food.

Step-by-step explanation:

You need to divide 13 cans by 7 dogs.

25 = 4x - 7, then x=

Answers

Answer:

x=8

Step-by-step explanation:

25=4x-7

+7 +7

32=4x

32/4 4x/4

8=x

harrison spent 1 and 1/2 hours hiking 3/4 hours swimming and 1 1/3 hours fishing during his last camping trip. in total, how many hours did he spend doing there?

Answers

Answer:

5 11/12 hours

Step-by-step explanation:

Make your common denominators 12. then when you add up you get 5 11/12.

Hope this helps and good luck :)

Please help me solve ASAP

Answers

the answer is a
hope this helped

Answer:

Step-by-step explanation:

first just look at the graph

its very obvious its a linear graph because it is going up in a straight line at a steady pace

so we can then just ignore the answers that say its not a linear function

then since its straight and not curved (curved graphs or parabolas are found when x has an exponent) its obvious it cant be one of the equations with x^2

so we are left with one the final answer

its equation is y = x + 2 and it is a linear function

hope this helps <3

Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded continuously

Answers

Answer:

6090

Step-by-step explanation:

ASAP please help me I need this quick
The question and answers are in the picture

Answers

Thé correct answer is the third one

write the value of 50 times the sum of 64 and 36

Answers

e Value of the Expression a. 50 times the sum of 64 and 36. 50 x(64+36)

Answer:

500 :)

Step-by-step explanation:

25 points for correct answer and giving brainliest

Answers

Answer:

y=20x + 4

x = 6 (max amount)

20(6) = 120

120 + 4 = 124

Max of 124.

y=20(0) + 4

y = 4

Min of 4.

Range

4<y<124 ; {4, ... , 124}

Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating) how many cookies did Amy make?

Answers

3 hours and 55 minutes - 15 minutes would leave 3 hours and 40 minutes. You figure there’s 20 minutes 3 times in an hour so 3x3 is 9 + the extra 2 20 minute periods from the 40 minutes. So 11 batches of cookies, 48x11= 528. Amy made 528 cookies.

PLEASE HELP ME i’ll mark brainliest ! i added some extra points too

Answers

We want to find all the solutions to the equation [tex]f(x)=0[/tex]. Wich means that we want to find all values of [tex]x[/tex] such that [tex]y=0[/tex] (recall f(x)=y).

By looking at the graph, when does [tex]y=0[/tex]? That's right, exactly over the X axis!

The solutions to the equation are the X coordinates where the graph crosses the X axis.

They are -5,-2 and 4.

PLEASE HELP MULTIPLE CHOICE i’ll mark brainliest i also added extra points !!

Answers

the correct answer is b:)

The book store is having a sale. Every book is $5 off, regardless of the original price.

The sale price for every book is $5 less than the original price.

Let x = original price

Let y = sale price

Which equation represents this situation?

A. y = × + 5

B. y = × - 5

C. y = 5x

D. y = × ÷ 5

Answers

Answer:

y=x-5

Step-by-step explanation:

sale price (y) is equal to the original (x) minus five dollars

Answer:

y = x - 5

Step-by-step explanation:

I took the test on A P E X

Which of the following is a linear function?

A
y=2/x + 11

B. 2
y=x + 6

C
y=1/2 (x-9)

Answers

Answer:

y=x+6

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

for each of its variables. In this case, the degree of variable

and the degree of variable

Ed is on a road trip. He has already traveled 206 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 636 total miles?

Answers

Answer:

B 66x+206=636

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Find the equation of the line passing through the points (3,1) and (7,-7)​

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Find the equation of the line passing through the points (3,1) and (7,-7)