Mathematics High School

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

PLSSSSS HELPPP PLSSSSSSSSS PLS I NEED HELPP

Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
paying a total of $23. He wants to know the price of one smoothie.
• price of 5 smoothies: 23 – 3 = 20
1) Which equation shows how to find the price of one smoothie?
20 – 5 = 15
20 : 5 = 4
23 : 5 = 4.60
23 - 5 = 18

Answers

Answer:

Each smoothie was $4

Step-by-step explanation:

20 : 5= 4
$20 was the bill for 5 smoothies...so divide 20 by the number of smoothies leave off the tip because that is not part of the original bill

Natalie made blueberry muffins for a bake sale. Each muffin cost her about $0.25 to make. She spent $8.75 to make all of the muffins. Natalie sold each muffin for $0.50 more than it cost her to make.

What is the total amount of money that Natalie received from selling her muffins?

Answers

Answer:

$17.5

Step-by-step explanation:

Answer:

26.25

Step-by-step explanation:

I took the test

can i get an owa owa ?????

Answers

owa owa???

owa owa??

OWA OWA??

OWA OWA??

OWA OWA?

pls help and show work i am screwed if i don’t do well on this

Answers

Answer:

x = - 2

Step-by-step explanation:

The axis of symmetry passes through the vertex, is a vertical line with equation equal to the x- coordinate of the vertex, that is

equation of axis of symmetry is x = 1

The zeros are equidistant from the axis of symmetry, on either side

x = 4 is a zero and is 3 units to the right of x = 1, so

3 units to the left of x = 1 is 1 - 3 = - 2

The other zero is therefore x = - 2

Solve the following system of equations 7x - 3y = 11

Answers

Answer:

x= 11/7 + 3y/7

Step-by-step explanation:

Answer:

y=11 -7/3x

Step-by-step explanation:

subtract the 7

bring the seven to the other side

then divide by 3

Find the volume of each composite figure.

Answers

Answer:

630 in^3

Step-by-step explanation:

6 x 6 x 14 = 504

(0.5 x 3 x 6) x 14 = 126

504 + 126 = 630

I’ll give brainless too who ever respond fast and correctly.

Answers

i’ll comment so you can get branliest :)

number 8 please help me​

Answers

Answer:

15.9??

Step-by-step explanation:

The answer is C. 15.9

Find the area of the shaded sector below.

Answers

Answer:

9.07571212

Step-by-step explanation:

To solve this we first need to find the area of the circle, r squared times pi

4 x 4 x pi = 50.2654825

Now we multiply this by 65/360, 50.2654825 x 65/360 = 9.07571212

The shaded sector covers 9.07571212 square inches.

(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥

Help I have no idea what the answers are

Answers

Answer:

Hi Bunni  ,  :D

Step-by-step explanation:

a =2

b= -8

c = 9

axis of symmetry  is

-(-8) / 2(2)

8 / 4

2

vertex = ( 2, 1)  

:)

A package of 12 pencils costs $0.96. At this rate, how much would 100 pencils cost?



A. $8.35


B. $10.80


C. $9.60


D. $8.00

Answers

Answer:

B

Step-by-step explanation:

Please Give brainliest

Answer:

D

Step-by-step explanation:

a museum gift shop sold 215 sets of dinosaurs. there were 9 dinosaurs in each set how many dinosaurs did they sell?

Answers

They sold 1935 (9•215)

sales tax: 68% shirts: $35 pants: $27 shoes: $44 what is the total cost ​

Answers

all together it will be 33.92

Point A(4,5) is translated to the left 3 and up 5. What is A'?​

Answers

Answer:

(7,10)

Step-by-step explanation:

x=4+3

y=5+5

what is the ratio of the length of red string to blue string written as a unit rate

Answers

Answer:2 to 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

WILL GIVE BRAINLIST!!!

MAD (Mean absolute deviation) is always a negative number

True or False

Answers

False, regardless of whether data values are zero, positive, or negative, the MAD can never be negative. This is because the MAD is calculated by finding absolute values of the deviations (or differences) from the mean, and then taking the average (or mean) of these absolute values.

At an electronics store, DVDs are on sale. Some DVDs cost $15.00 each and some cost $12.00 each. Bart purchased 8 DVDs and spent a total
of $105.00. Write a system of equations and solve by using substitution to determine how many $12.00 DVDs Bart purchased.

Answers

$105

15*3=45

12*5=60

60+45=105

(12*5)+(15*3)=105

Can i get brainliest

The number of $15 DVDs and $12 DVDs at an electronics store will be 3 and 5, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

At a hardware store, DVDs are at a bargain. A few DVDs cost $15.00 each and some expenses $12.00 each. Bart bought 8 DVDs and spent a sum of $105.00.

Let 'x' be the number of $15 DVDs and 'y' be the number of $12 DVDs. Then the equations are given as,

x + y = 8                     ...1

15x + 12y = 105         ...2

From equations 1 and 2, then we have

15x + 12(8 - x) = 105

15x + 96 - 12x = 105

3x = 9

x = 3

Then the value of y is given as,

y = 8 - 3

y = 5

The number of $15 DVDs and $12 DVDs at an electronics store will be 3 and 5, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

what does this equal??

Answers

Answer:

I think 3

Step-by-step explanation:

probablity question: A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?

Answers

Answer: 12.5%

Step-by-step explanation:

i dunno for sure so probably use someone elses answer

Write < >, or = to
make the statement
true.
6.208
62.081

Answers

Answer:

The answer should be 6.208<62.081

Step-by-step explanation:

Because the open side faces the larger value

HELPPPPPPPPP
What is the value of x in the figure at the right?

Answers

Answer:

Answers is D

Step-by-step explanation:

2x = 60° because they are vertically opposite angles.

x=60÷2=30°

AHH HELP ME PLS
Choose the values of x that are solutions to the inequality 5 <,
Select all that apply
Ax=2
= 6
E *=-7
F1 = 10

Answers

Answer:

x = 5

x = 6

x = 10

Step-by-step explanation:

NOTE: IT HAS TO BE MORE THAN 5 OR EQUAL TO 5

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Have a great day, be safe and healthy  

Thank u  

XD

what are the zeros of the quadratic function? f(x)=2x2+x-3

Answers

Answer: The zeros of the  quadratic function  are: 5/2+(1/2)*sqrt(31), 5/2-(1/2)*sqrt(31)

                 

Step-by-step explanation:

Look at this graph.
What type of function is shown above?
O A.
exponential
OB. absolute value
OC. polynomial
2021 Frimenti

Answers

Answer:

It's exponential

Step-by-step explanation:

tricia runs 520 meters each day for 3 days. how many total kilometers does tricia run in these 3 days?

Answers

Answer: 1.56 kilometers

Step-by-step explanation:

you multiply 520 by 3 because she ran for three days

so she ran 1560 meters

1000 meters= 1 kilometer

that makes it 1.56 kilometers

*Will award brainliest* Karla would like to lease a car worth $23,550 for a three-year period. The leasing company told Karla that after three years, the car would have a residual value of $14,136. What percentage represents the residual value of Karla’s leased car?

Answers

Pretty sure you just divide 14,136/23,550 and then that percent would be the answer

47 students have a dog  76 students have a cat a) Represent this data in a Venn diagram in the box provided (3) b) How many students have both a dog and a cat?

Answers

Answer:

89 people

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 80% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90 pints of a mixture that is 35% pure fruit juice?

Answers

Answer: I- 81 pints,  II-9 pints

Step-by-step explanation:

Given

The first type of juice has 30% pure Juice

The second type of juice has 80% pure Juice

The final mixture has 95 pints of 35% pure juice

Suppose we take x pints from the first Juice

So, the second Juice contributes 90-x

for 35% content

[tex]\Rightarrow 35=\dfrac{x\times 30+(90-x)80}{90}\\\\\Rightarrow 3150=30x+7200-80x\\\\\Rightarrow 50x=4050\\\Rightarrow x=81\ \text{pints}[/tex]

First contributes 81 pints. second contributes 9 pints

Can someone help me with this question please

Answers

Answer:

61

Step-by-step explanation:

all angles that are in a triangle add up to 180

x+80+39=180

x+119=180

x=61

Hope that helps :)

For a class trip a teacher bought 25 student tickets and 5 adult tickets. A. Write an expression for the total cost of tickets purchased. ( Don't forget to identify your unknown and assign a variable) B. If student tickets cost $4 and adult tickets cost $6, how much money did the teacher spend on tickets? 1 point for expression, 1 point for correct amount spent

Answers

25T + 5A = ?
T = Student Tickets
A = Adult Tickets

$4 x 25 = $100.00
$6 x 5 = $30.00
—————————
$130.00

Step-by-step explanation:

we all know that the teacher bought 25 tickets for the children and 5 for the adult children's tickets cost 4 shillings so we'll have to take 25 times for and adult tickets cost $6 so we'll have to take 5 * 6 will get 30 and 25 * 4 will get 100 total is equals to 130 so the teachers spent $130 buying the tickets hope this helps you.

Other Questions
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