Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.

Answers

Answer 1

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)

m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 14 ) , then

14 = 24 + c ⇒ c = 14 - 24 = - 10

y = 3x - 10 ← equation of line


Related Questions

The following box plot shows points awarded to dance teams that competed at a recent competition:

Which dot plot best represents the box plot data?

(answer choices are in order btw) Answer choices:

Answers

Answer:

The following box plot shows points awarded to dance teams that

Step-by-step explanation:

Which dot plot best represents the box plot data?

(answer choices are in order btw) Answer choices:

please help me guys!​

Answers

its blur

how can we read it if your picture is blur

Find the quotient

1. 22−9−2 ÷−5=
2. 3+ 27 ÷ +3=

Answers

[tex]1 \times 22 - 9 - 2 - 5 \\ 22[/tex]

Solve the next equation (5 x - 3)³ = 8​

Answers

Answer:

x=1

Step-by-step explanation:

(5x-3)3=8

taking the cube of both sides we get

5x-3=2

adding three to both sides we get

5x=5

dividing by five on both sides we get

x=1

if you found my answer helpful please mark as brainliest.

A rectangular pyramid has a volume of 2032 cm. It is dilated by a scale factor of 3.
What will be the volume of the new rectangular pyramid?

Answers

Answer:

dunno

Step-by-step explanation:

Answer:

6,096

Step-by-step explanation:

2,032 x 3 = 6,096

Which of the following sets of sides does not form a right triangle?
6.8.10
8.15, 17
7.24.26
5, 12, 13?

Answers

Answer:

7, 24, 26

Step-by-step explanation:

6 squared is 36 and 8 squared is 64. Add them together and you get 100, which is 10 squared. Do the same for the other ones and you'll notice that 7 squared and 24 squared added together is 625, which is not 26 squared. In my head 25 squared is 625(check if you don't believe me) so I know that the answer is the third one. The basic formula for a right triangle is a^2 + b^2 = c^2, and that's how you find if three numbers form a right triangle or not. Hope this helps :)

PLEASE HELP! ASAP please help

Answers

Answer:

( 3 , -5 )

Step-by-step explanation:

Solving quadratics equations by square root method

Answers

can you elaborate? are you
looking for an overall explanation or asking for a specific questions

Answer:

Step-by-step explanation:

Here is an example:

[tex]3x^{2} +7=55[/tex]

-7 on both sides of the equation

[tex]3x^{2} =48[/tex]

divide by 3 on both sides

[tex]x^{2} =16[/tex]

square root the [tex]x^{2}[/tex] and 16

x=±4

Solve the system of equations using subtraction.
3x - 2y = 5
3x + y = 11

Answers

X=3 and y= 2. Or (3,2)

the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the two books?

A:between 5 and 5 1/2 inches
B:between 5 1/2 and 6 inches
C:between 4 1/2 and 5 inches

GIVING BRAINLIEST IF CORRECT PLSS HEP QUICKK!!!!!

Answers

Answer:

Between 5 and 5 1/2 inches

Step-by-step explanation:

Between 5 and 5 1/2 inches

Do 1/4 and 4/16 form a proportion

Answers

Answer:

There is a difference between FRACTION and PROPORTION.

Explanation of fraction:

On a card board sheet draw a square or rectangle or any simple shape of your choice. Divide your preferred shape into 4 equal parts. One portion or one part of the divided shape is 1/4. Three (3 ) parts of the divided shape equal 3/4. Also if the shape is divided into twenty (20). One (1) part is 1/20, sixteen(16) parts equal 16/20.

Explanation of Proportion:

If an item is shared in a proportion of 3:4,it means that A gets 3/(3+4) of what is to be shared , that is 3/7 of the bulk item to be shared. B gets 4/(3+4) of what is to be shared, that is 4/7 of the bulk item to be shared.

Also if an item is shared in a proportion of 16:20 , A gets 16/(16+20)=16/36 of Bulk item while B gets 20/(16+20)= 20/36 of the Bulk item being shared.

In effect Fractions and Proportions are related but different.

5(x+2) = 20

15 points

Answers

Answer:

Step-by-step explanation:

remove the parenthesis

5x+10=20

5x+10-10=20-10

5x=10

x=2

HELP REEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Rounding

Step-by-step explanation:

Answer:

Round

Step-by-step explanation:

Simple question: What is the difference between 32% vs 15%?

Answers

Answer:

Look below :)

Step-by-step explanation:

Well one of them is a bigger percentile, so the difference is 32-15. So the answer is 17. I hope this helps!

Which of the following correctly describes the quotient below?

A.
rational

B.
irrational

C.
neither rational nor irrational

D.
both rational and irrational

Answers

Answer:a

Step-by-step explanation:

Juanita had 20 dollars to spend on 3 gifts. She spent 8 3 4 dollars on gift A and 4 1 2 dollars on gift B. How much money did she have left for gift C?

Answers

Answer:

the amount left for gift c is $7.54

Step-by-step explanation:

The computation of the amount left for gift c is shown below:

= Total money to spend - spent on gift A - spent on gift B

= $20 - $8.34 - $4.12

= $20 - $12.46

= $7.54

Hence, the amount left for gift c is $7.54

HELP PLEASEEEEEE!!!!!!!!!!!!!!! TY

Answers

The answer is 24w - 16u + 48

In a study of all 3813 students at a college, it is found that 45% own a vehicle. Is this a statistic or parameter?

Answers

Answer:

statistic

Step-by-step explanation:

Please help me........

Answers

Answer: i don't know

Step-by-step explanation:

hi i  don't know any of this stuff i hope you don't learn anything Bye  



What are the coordinates of the vertex?

Answers

0,-8 are the coordinates of the vertex.
please help me this is my test for the review of all the math i learned

For what value of q is the equation -13(q+4)=7q+16 true?

Please help! Thanks!

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Ella practices piano for 45 minutes she spends m minutes longer working on her homework than she does practicing the piano

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but let's assume that you want to know the amount of time that she spends working on her homework.

Since we are informed that Ella practices piano for 45 minutes and that she spends m minutes longer working on her homework than she does practicing the piano, the expression to get the number of minutes that she uses on her homework will be:

= 45 + m

For example let's say that she spends 7 minutes more in her homework. Therefore, the total minutes spent on the homework will be:

= 45 + 7

= 52 minutes

Your teacher is giving a test that has 5 more four-point questions than six-point questions.
The test is worth 120 points. Which system represents this information?​

Answers

Answer:

x-y=5

4x+6y=120

Step-by-step explanation:

let x = # of 4-point questions

ley y = # of 6-point questions

# of 4-point questions is 5 more than # of 6-point questions

x=y+5 or x-y=5

now there's the matter of the points. Since each x is worth 4 points and each y is worth 6 points, they total number of points have to add up to 120, therefore:

4x+6y=120

The System of Equation is

x-y=5

4x+6y=120

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let x be number of 4-point questions.

ley y be number of 6-point questions.

as, the 4-point questions is 5 more than 6-point questions

So, x=y+5

or x-y=5.................(1)

Since each x is worth 4 points and each y is worth 6 points, they total number of points is 120.

So, 4x+6y=120....................(2)

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

1/6 + (-7/9) in simplest form

Answers

Answer:

Step-by-step explanation:

3/18 + (-14/18)= -11/18

Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
X
0
4
8
10
>
0
0.5
1
1 25
X
-
5
10 12.5
y
0
4
8
10
0
4
8
*
10
0.8 0.8 0.8 0.8
X
0
5
10 125
y
0810 820 8.25 8
Please hurry I’m going to get my phone taking away if I don’t finish my work

Answers

Answer:

second table

Step-by-step explanation:

For a proportional relationship, the constant of proportionality k is

k = [tex]\frac{y}{x}[/tex]

Choose an ordered pair from each table and evaluate for k

Table 1

using (8, 1 ), then

k = [tex]\frac{1}{8}[/tex] = 0.125 ≠ 0.8

Table 2

using (10, 8 ), then

k = [tex]\frac{8}{10}[/tex] = 0.8

Table 3

using (8, 0.8 ), then

k = [tex]\frac{0.8}{8}[/tex] = 0.1 ≠ 0.8

Table 4

using (10, 20.8 ), then

k = [tex]\frac{20.8}{10}[/tex] = 2.08 ≠ 0.8

Table 2 has a constant of proportionality k = 0.8

What is the slope of the line in this picture?



Answers

Answer:

The slope is 3/2

Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=

Answers

Answer:

Seventh term is 64

Sum of the first seven terms is 127

Step-by-step explanation:

The common ratio is 2

[tex]a_{n} = a_{1} r^{n - 1}[/tex]    

n = 7 and the first term is 1.  So,

[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]

Seventh term is 64

[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]

[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]

    [tex]= \frac{128 - 1}{1} = 127[/tex]

Sum of the first seven terms is 127

PLZ HELP ME :(
Tanisha lives in an apartment and pays the following expenses each month: electric bill,$42.60; TV streaming service,$27.99; and rent,$587.70. Estimate her total expenses for the month by first rounding each value to the nearest tens place.
A.)$659
B.)$650
C.)$670
D.)$660

Answers

Answer:

D)$660

Step-by-step explanation:

Add all of them up and you get $658.29 the number in the tens place is 5 and the number on the right is 8 so you round up.

27. A multiple choice test contains 5 questions, and each question has four possible responses.
How many different answer keys are possible?
A. 20
B. 120
C. 256
D. 1024

Answers

Answer:

D. 1024

Step-by-step explanation:

Each question can be answered 4 ways.

4 * 4 * 4 * 4 * 4 = 1024

D. 1024

Choose the student who correctly wrote the algebraic expression for the following statement.

Martha made six times as many goals.

Answers

Answer:

hector

Step-by-step explanation:

Aida is adding

hector is multiplying

camila is dividing

juan is subtracting

6x=6timesx=6(x)

so hector is right

Answer:

Hector's work

Step-by-step explanation:

"Six times as many" means 6 x the number of goal!

Hope that helps!

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