What is the equation in standard form of
the line that passes through the points
(3, 5) and (-7, 2)?

Answers

Answer 1

Answer:

3x-10y=-41

Step-by-step explanation:

"standard form of the line" is ax+by=c, where a, b, and c are free coefficients

first, we need to find the slope (m) of the line

that is calculated with the formula (y2-y1)/(x2-x1)

we have the points (3,5) and (-7,2)

label the points:

x1=3

y1=5

x2=-7

y2=2

substitute into the equation

m=(2-5)/(-7-3)

m=-3/-10

m=3/10

the slope is 3/10

before we put a line into standard form, we need to put it into another form first-- like slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

we already know the slope

here's our line so far:

y=3/10x+b

we need to find b; since the line will pass through the points (3,5) and (-7,2) we can use either one of them to find b

let's use (3,5) as an example. Substitute into the equation

5=3/10(3)+b

5=9/10+b

41/10=b

b is 41/10

this is the equation:

y=3/10x+41/10

now we can find the equation in standard form. Subtract 3/10x from both sides

-3/10x+y=41/10

a (the number in front of x cannot be negative OR less than one. First, let's multiply both sides by -1)

3/10x-y=-41/10

multiply both sides by 10 to clear the fraction

3x-10y=-41

^^ is the equation

hope this helps!


Related Questions

Help! With this math problem

Answers

Answer:

Its C

Step-by-step explanation:

Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:

Answers

X is next to the number 10, so x would be the number of dinner tickets sold.

Rewrite x + y = 100 to x = 100-y

Now replace that in the 2nd equation:

10(100-y) + 6y = 900

Simplify:

1000 -10y + 6y = 900

Combine like terms:

1000 -4y = 900

Subtract 1000 from both sides

-4y = -100

Divide both sides by-4

Y = 25

Replace y in the first equation and solve for x

X + 25 = 100

X = 75

A) 75 dinner tickets were sold

B) 25 dessert tickets were sold

C) 75 x 10 = $750

D) 25 x 6 = $150

If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal​

Answers

The principal is N16.94

Step-by-step explanation:

Simple Interest = (Principal × Rate × Time)/100

Principal = (Simple Interest × 100)/(Rate × Time)

Principal = (123 × 100)/(3 × 242)

Principal = 12300/726

Principal = 16.9421

What’s the answer????(i will mark whoever answers the question right as Brainelist)

Answers

Bob was enrolled in yoga classes for 1 year = 12 months

Will mark brainliest

Answers

Answer:

I think it’s the last one 2x + 7 sorry if I’m wrong!

If p p and q q vary inversely and p p is 14 when q q is 12, determine q q when p p is equal to 84.

Answers

Answer:

q = 2

Step-by-step explanation:

p α 1/q

p = k/q

Where, k = constant of proportionality

p = 14 ; q = 12

We can obtain the value of k

p = k/q

14 = k/12

k = 14 * 12

k = 168

p = 168/q

pq = 168

q = 168 / p

Value of q, when p = 84

q = 168 / 84

q = 2

Please Answer! I will give brainiest. The Picture is down below :)

Thank You!

Answers

Answer:

there's no pic!..............

Evaluate f(x) = 2|x – 5| for f(–5) and f(0).

f(–5) = –20, f(0) = –2

f(–5) = 10, f(0) = 0

f(–5) = 20, f(0) = 10

f(–5) = 12, f(0) = 5

Answers

Answer:

f(–5) = 20, f(0) = 10

Step-by-step explanation:

f(-5):

f(-5) = 2|-5 -5|

f(-5) = 2|-10|

f(-5) = 2(10)

f(-5) = 20

f(0):

f(0) = 2|0 - 5|

f(0) = 2|-5|

f(0) = 2(5)

f(0) = 10

Savannah bought barn wood for $60 for 5 pieces. She spent $40 on materials to paint
and design the decorations. She sells each piece of wood for $25. What is her
profit/loss?

Answers

her profit per each wood is $5 so her total profit is $25

because
60 divided by 5 is 12, so each wood is 12 dollars
she spent 40 dollars on materials so 40 divided by 5 is 8, so she spent $20 on each piece of wood to paint it because 12(price of wood)+8(cost of materials per wood)= 20
and shes sells them for 25
so 25-20=5
5x5=25
so the answer is $25 profited

the ravens scored 1 touchdown and an extra point . how many total points did they score

Answers

the ravens scored 7 points

HELLLLLLLPPPP PLZZZZZZZZZZZZ THIS IS A TEST

Answers

Answer:

76%= Decimal: 0.76 and proportion 76%

Step-by-step explanation:

Answer:

Decimal=0.76 proportion=76%

Step-by-step explanation:

19/25 let's find the decimal first

long division:

25|19

25 goes into 1, 0 times so;

    0

25|19

   -0

     19

25 goes into 19 0 times so;

    00.

25|19.0

   -0

     19

     -0

     190

25 goes into 190 7 times so;

    00.7

25|19.00

   -0

     19

     -0

     190

    -175

       150

25 goes into 150  6 times so;

    00.76

25|19.00

   -0

     19

     -0

     190

    -175

       150

      -150

           0

now 19/25 as a proportion;

19........x

---- = ------

25.....100

25*4=100 so 19*4=x

19*4=76 so x = 76

and 76/100=76%

HELP PLEASE, ITS URGENT

Answers

Answer:

1. 40% 2. 1/10

Step-by-step explanation:

1. 8/20 * 100

800/20=40

2. 1/(3+1+4+2)

1/10

the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number

Answers

Answer:

The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

A. 113 cm3

B. 903 cm3

C. 25 cm3

D. 38 cm3

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

6

centimeters

...................................................................................................................................................

For this case we have that by definition, the volume of a sphere is given by:

Where:

r: It is the radius of the sphere

According to the data we have to:

Substituting we have:

The option that best fits is option B.

Answer:  v=113cm3

The option that best fits is option B.

...............................................................................................................................................

Answer:

V ≈ 904 cm³

Step-by-step explanation:

Let r denotes radius

r = 6cm (given)

As it a sphere of radius 6cm,

Volume of a sphere,

V = 4/3 π r³

V = 4/3 (3.14) (6)³

V = 4/3 (3.14) x 216

V = 4 (3.14) x 72

V = 12.56 x 72

V = 904.32 cm³

Rounding off,

V ≈ 904 cm³

...............................................................................................................................................

Answer:

113 cm

Step-by-step explanation:

What is the value of 2x2 when x = 1.5?



15.0


4.45


4.50


450

Answers

Answer: 4.50 look at the picture

Step-by-step explanation: Hope this help :D

Step-by-step 4.5 ....................

Suppose you invest $4,600 into a savings account with a 8.25% annual interest rate
that compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.

NEED ANSWER ASAP

Answers

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

What are the degree and leading coefficient of the polynomial?

Answers

look up the answer on the app socratic, yw

Factor the expression step by step

Answers

Let's factor this.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?

We need two numbers that...
Add together to get -7
Multiply together to get 10
Can you think of the two numbers?

Try -2 and -5:
-2+-5 = -7
-2*-5 = 10

Fill in the blanks in
(x+_)(x+_)
with -2 and -5 to get...
(x-2)(x-5)

Last month, Jerald bought 70 bags of candy for $8 each. How much did Jerald spend on bags of candy?

Answers

He spent 560. Just multiply 70 with 8

Which is the simplified form of p⁰?
O p
O 1/p
O 0
O 1​

Answers

Answer:

It is p = 1

Step-by-step explanation:

p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰

Pls help will give brainless

Answers

Answer:

56 trucks and 24 cars

Step-by-step explanation:

Multiply each by 8 to continue the linear relationship.

Answer:

The answer is C. 56 trucks and 24 cars

Step-by-step explanation:

24/3 = 8

8 x 7 = 56

(っ◔◡◔)っ ♥ Hope It Helps ♥

On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.

Answers

Answer:

18 People bought hot dogs

Step-by-step explanation:

The question is not complete, but I’m assuming you need the number of people who bought hot dogs.

25 customers bought gas.

72% of them also bought a hot dog.

So thE number of customers who bought hot dogs are 72% of 25

=> 72/100 * 25

=> 0.72 * 25

= 18 people

Pete pumps water into an empty pool. After 8 minutes, there are 40 gallons o water in the pool. Use the coordinate plane provided to plot two points that can be used to represent the relationship between time, x, and the total amount of water, y, in the pool. Select the places on the coordinate plane to plot the points​

Answers

Answer:

(2,10) (4,20) (6,30) (8, 40)

Step-by-step explanation:

every minute, the pool fills up with 5 gallons.

if you look at the points, you will see a pattern

here is a step by step example

Can yall help me need help ASAP​

Answers

Answer:

18+2x>_0

18/2 + 2x/2

x= 9

Step-by-step explanation:

first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2

Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of

Answers

Answer:

look at the box did you see it

Answer:

I hope you are wanting the measure of QM

QM = 12.08 in

Step-by-step explanation:

Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:

QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146

QM = √146 = 12.08 in

Which of these is an example of due process?

a search without good reason

a prejudiced jury

a cruel punishment

a fair trial

Answers

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

Help Pleaseee, i dont know how to find the period

Answers

Answer:

6 Pi

Step-by-step explanation:

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.

All statements of equality below are correct ? Need help!

Answers

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

During his past seven basketball games, Manuel scored 35, 37, 43, 47, 52, 29, and 31 points respectively. Therefore, his mean number of points per game was 39.14.

What did calculating that number tell him about his game?
A.
Manuel would know that he will make at least 39 points per game in the future.
B.
Even though Manuel does not score exactly 39 points in every game, he tends to score on average 39 points per game.
C.
Manuel would know that he will make at most 39 points per game in the future.
D.
Manuel would know that both he and his teammates will contribute an average of 39 points each per game.

Answers

B. It’s the average. Not a definite 39 points

Will give brainliest. A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 8) units and a width of 10 units. What will be the perimeter of both the rectangle and the square? ​

Answers

To get the perimeter of a square you take it’s side length times 4. To get the perimeter of a rectangle you take 2 times it’s length and 2 times it’s width and add the product together. So the formula is for square is 4L = P
The formula for rectangle is 2L + 2W = P
If you know the perimeter of a square and rectangle are the same you can set the equations equal to each other.
So 2L + 2W = 4L and since you know the side measurements. You sub them in.
2(4x + 8) + 2(10) = 4(8x) and then solve for x

X = 3/2

A cube has a surface area of 6. What's the volume?

a 1

b 1/6

c 6

d 3/2

Answers

Answer:

Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.

Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.

So since 6a^2=6

Solve

a^2=1

a=1

SO each side is equivalent to 1

Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)

Answer:

V = 1

Step-by-step explanation:

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·63/2

36÷6 = 1

V = 1

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