Write the equation of the line that passes through the points (8, -4) and (-2,5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer 1

Answer:

The equation in the slope-intercept form will be:

Step-by-step explanation:

Given the points

(8, -4) and (-2, 5)

The slope between two points

[tex]m=\frac{5-\left(-4\right)}{-2-8}[/tex]

[tex]m=-\frac{9}{10}[/tex]

As the point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -9/10 and (8, -4)

[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]

Writing the line equation in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form will be:

[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]

[tex]y+4=-\frac{9}{10}\left(x-8\right)[/tex]

subtract 4 from both sides

[tex]y+4-4=-\frac{9}{10}\left(x-8\right)-4[/tex]

[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]


Related Questions

When the equation 3x + 2y = 7 is expressed in the form ax+by+c=0, indicate the values of a , b and c *

Answers

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[tex]3x + 2y = 7[/tex]

Subtract sides 7

[tex]3x + 2y - 7 = 7 - 7[/tex]

[tex]3x + 2y - 7 = 0[/tex]

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Compare :

[tex]ax + by + c = 0[/tex]

[tex]3x + 2y - 7 = 0[/tex]

Thus ;

[tex]a = 3 \: \: , \: \: b = 2 \: \: , \: \: c = - 7[/tex]

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So the correct answer is the third option .

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Simplify 2y + 4 + 7y + 8

Answers

Hi there & welcome to brainly ! :)

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{9y + 12}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2y + 4 + 7y + 8}[/tex]

[tex] \text{Add \: the \: like \: terms : \: 2y \: and \: 7y }[/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \longrightarrow{ \sf{9y + 4+ 8}}[/tex]

[tex] \text{Add \: the \: numbers: 4 \: and \: 8}[/tex]

[tex] \longrightarrow{ \boxed{ \sf{9y + 12}}}[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!} [/tex]

~[tex] \sf{TheAnimeGirl}[/tex]


it is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be
consumed worldwide in 2015. In 2003, worldwide consumption was 421 quadrillion Btu. What is the
expected rate of change in consumption from 2003 to 2015? (what is rate of change?)

Answers

Answer:

the expected rate of change in consumption is 11.83

Step-by-step explanation:

The computation of the expected rate of change in consumption is shown below:

= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)

= (563 - 421) ÷ (2015 - 2003)

= 142 ÷ 12

= 11.83

hence, the expected rate of change in consumption is 11.83

We simply applied the above formula so that the correct value could come

And, the same is to be considered

i need some help please

Answers

Answer: This is a mistake. These values are not really equal to each other.So it's False._____________________________________The left side 0.00154 does not equal to the right side 1540, which means that the given statement is false._________________________________________________

Hope this helps! 

Also can I please have Brainliest...?

Only if I'm right of course...

It’s the second one.

I need help with this ​

Answers

Answer:

A'(-6, 6) and B'( 9, 6), D( -1, 1) and C( 1.5 , 1)

Step-by-step explanation:

Part A: dilation factor of 3 means you will multiply the given coordinates by 3 so

is given A(-2, 2) and B( 3, 2) and this will become A'(-2*3, 2*3) and B'( 3*3, 2*3)

A'(-6, 6) and B'( 9, 6)

Part B: dilation factor of  [tex]\frac{1}{2}[/tex] you multiply thhe coordinates by this number so

A(-2, 2) and B( 3, 2) will become D( -2*(1/2), 2*(1/2)) and C( 3*(1/2), 2*(1/2))

D( -1, 1) and C( 3/2, 1)

Tierra is 5 years older that Rafael. The sum of Rafael's age and twice Tierra's age and
equals 46. How old is Rafael?

Answers

Answer: 12

Step-by-step explanation:

Started at 10° and rose 1° each minute

Answers

Answer:

1, -2, 2, [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

This year, Kaitlin watched 95 movies. She thought that 76 of them were very good. Of the movies she watched, what percentage did she think were very good?

Answers

Answer: 72%

Step-by-step explanation:

ok

Pierre, an art dealer, earns 25% commission of the art pieces he sells. He earned $10,800 this month. What is the total amount of the art pieces he sold?

Answers

Answer:

2700

Step-by-step explanation:

25 percent of 10800 is 2700. hope this helped, this was a bit rushed!xx

Answer:

sry I need points

Step-by-step explanation: If you hadn't done it to me I wouldn't do it to you

What is the binary number for 11​

Answers

Step-by-step explanation:

[tex]11=8+2+1=2^3+2^1+2^0=\bold1\cdot2^3+\bold0\cdot2^2+\bold1\cdot2^1+\bold1\cdot2^0\\\\11_{10}=\bold{1011}_2[/tex]

Go listen to 1k phew (you'll thank me later)

Answers

Stan Loona, you'll thank me later.

will give brainliest! Help me solve this logs problem!! Thank you​

Answers

Answer:

4

Step-by-step explanation:

solving equation 1

log125 base 5√5=x[5√5=√(25×5)=√125]log125 base 125=x[From one of the principles of logarithm " logA base a =1]therefore, log125 base 125=1 x=1

solving equation 2

log 64 base 2√2=y[2√2=√(4×2)=√8]log 64 base√8=y64=(√8)^y64=8^(½y) 8²=8^(½y) (8 cancels in both equations and I evaluate the powers figures) 2=½yy=2×2=4

the product of x and y=x•y=1×4=4

Yo could someone help...

Answers

Answer:

42

Step-by-step explanation:

2(4x+2)=4x+44 THE MIDSEGMENT IS ALWAYS HALF OF THE BASE

8x+4=4x+44

4x=40

x=10

4(10)+2

40+2

42 Hope this helped!

what is 1 5/8 rounded to the nearest half A.1 B.1 1/2 C.2 D.2 1/2

Answers

1 1/2 I think is the answer

Answer: B

Step-by-step explanation:

HAVE A BLESSED DAY

Figure A is a scale image of Figure B.
A
11
1
Figure A
10
Figure B
What is the value of x?

Answers

9514 1404 393

Answer:

  x = 4.4

Step-by-step explanation:

The longer side is 11/10 times the length of the shorter one:

  x = (11/10)(4) = 4.4 . . . units

Solve and justify your steps: 2(x+9)-4=28
Helpppp pleaseeeee I neeed to write the whole process

Answers

I’m so sorry, I’m in high school and I don’t even know how to answer this question, I’m def gonna fail the act, but I used an app, maybe that can help? Cause In reality, I’m a junior and I can’t help u

What is the y-intercept of this graph?

Answers

the y-int seems to be (0,0)

Answer:

0

Step-by-step explanation:

the y-intercept is (0,0).THe equation of the graph is y=8x

What is the slope?


WILL MARK BRAINLIEST!! !!
(picture included ^^^)

Answers

Answer:

12

Step-by-step explanation:

24/2=12

Answer:

24

Step-by-step explanation:

hope this helps :)

A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
p=421−376376
p=421−376421
p=376421−376
p=376+421376

Answers

Answer: B

Step-by-step explanation:

Answer: see explanation

Step-by-step explanation:

percent increase = × 100%

the increase = 421 - 376 = 45, hence

percent increase = × 100% ≈ 12%

need a quick answer pls

Answers

Answer:

(3,3)

Step-by-step explanation:

Answer:

3,3.5

Step-by-step explanation:

In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score?

Answers

Just earned 35 points and Ann earned 30 points

Judy scored 45 points in the board game.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

In a board game,

Judy scored 5 points, more than twice the number of points Ann scored.

If Judy scores x points and Ann scores y points,

that means,

x = 2y + 5

x - 2y = 5.   {equation 1}

There was a total of 65 points scored.

x + y = 65  {equation 2}

Subtract the equation 2 to equation 1,

we get,

-3y = -60

y = 20

Then, x = 45.

Therefore, 45 points Judy scored.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

15) sin e
-300°
X
2
A)
B) 13
2
3
C) 1
D)
2

Answers

Answer:

1111113333333 999999

Isjdkdidjdjdjdjdjdjfjdjdjdnjdjdid

Anyone know how to do this find the slope? Will give brainliest.

Answers

Explanation: In my notes you’ll see the formula for how to find slope under “Formulas”.

How to use this formula: In the first graph you have points (2,3) and (6,8)
So y2 would be 8, and y1 would be 3.
x2 would be 6, and x1 would be 2.

1. Sub points into formula
2. subtract y2 by y1
3. Subtract x2 by x1
4. Divide top by bottom

And you’ve got your slope! (Rise/run)

If you need further clarification, feel free to ask me in the comments. Hope this helps :)
Y=mx+b is how you can find slope

The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the reversed number. Find the number.

Answers

Answer:

62

Step-by-step explanation:

Let the two digit number be XY

X+Y = 8

10X+Y - (10Y+X) = 10Y+X+10

10X+Y-10Y-X=10Y+X+10

8X-19Y=10

8(8-Y)-19Y=10

64-8Y-19Y=10

27Y=54

Y=2

The number is therefore 62.

The required two-digit number with sum of digits as 8 is 62.

Let us say the number is xy

What is the place value of x and y in xy?

The place value of digits, x and y in the number xy are 10 and 1 respectively.

So the number xy can be written as 10x+y

When the digits are reversed

The new number or reversed number obtained will be yx

So the new number yx can be written as 10y+x

Since the difference between the original number and the reversed number is 10 more than the reversed number.

So, (10x+y) - (10y+x) = 10 + (10y+x)

8x-19y =10.......(1)

Since the sum of digits is 8

So, x+y = 8......(2)

By solving equations (1) and (2) we get

x=6, y=2

So, the required number is xy i.e. 62.

Therefore, The required two-digit number with sum of digits as 8 is 62.

To get more about linear equations visit:

https://brainly.com/question/14323743

Supplementary angles definition and examples?
Please

Answers

Answer:

The answer is an angle that equals 180 degrees.

Step-by-step explanation

You would need to draw pictures that are just a line with a semi-circle that has an angle of 180 degrees as your examples.

expand and simplify
(7 + √6)^(2). Give your answer in the form b+c√6​

Answers

Step-by-step explanation:

[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]

[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]

[tex]49 + 14 \sqrt{6} + 6[/tex]

[tex]55 + 14 \sqrt{6} [/tex]

The expanded and simplified answer is 55 + 14√6.

How to find the simplified form of an expression?

The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.

The given expression is expanded and simplified:

Given: (7 + √6)^(2)

First, we have to square the expression and expand it.

(a + b)^2 = a^2 +2ab b^2

Similarly we can open the brackets of the given expression:

(7 + √6)^(2) = 49 + 2*7*√6 + 6

= 55 + 14√6

This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.

Therefore, we have expanded and simplified the given expression as 55 + 14√6.

Learn more about the simplified form here: https://brainly.com/question/1698314

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The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52. .Item. .Price Per Pound. .Fruit Chews. $4.70 .Jelly Beans. $2.35 .Chocolate. $3.50 .If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?

Answers

Answer:

The amount of money Jake had left after his purchase is $10.85

Step-by-step explanation:

The amount of Fruit Chews Jake selected = 1.6 pounds

The amount of Jelly Beans Jake selected = 2.6 pounds

The sales tax = $0.52

The amount of money Jake had to spend = $25

The table of values are;

Price Per Pound     [tex]{}[/tex]                  

Fruit Chews = $4.70

Jelly Beans = $2.35

Chocolate = $3.50

The amount of money Jake had to spend $25

The total amount of the candies Jake bought = 1.6 × $4.70 + 2.6 × $2.35 = $13.63

The total amount Jake spent = The total amount of the candies Jake bought + The sales tax

The total amount Jake spent = $13.63 + $0.52 = $14.15

The amount of money Jake had left after his purchase = The amount of money Jake had to spend - The total amount Jake spent

The amount of money Jake had left after his purchase =  $25 - $14.15 = $10.85

The amount of money Jake had left after his purchase = $10.85.

Which equation is equivalent to y – 6 = –12(x + 4)?
A. y = –6x – 48
B. y = 6x – 48
C. y = –12x – 42
D. y = –12x – 54

Answers

Answer:

Y-6 = -12 (x+4) Y = -12x - 48 + 6 Y = -12x - 42 answer is c

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[tex]y - 6 = - 12(x + 4)[/tex]

[tex]y - 6 = - 12x - 48[/tex]

Add sides 6

[tex]y - 6 + 6 = - 12x - 48 + 6[/tex]

[tex]y = - 12x - 42[/tex]

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The correct answer is (( C )) .

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Write the expression in simplest form.
(11 + 3) – 2(- 4 1 - 1) =
NIO

Answers

Answer:

11+3=14

-41-1=-42

14-2(-42)

-2(-42)

14+84

98

I hope this is good enough:

The defference of twenty-two and six divided by the sum of five and three is equal to

Answers

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[tex]22 - \frac{6}{5 + 3} = \\ [/tex]

[tex]22 - \frac{6}{8} = \\ [/tex]

[tex]22 - \frac{3}{4} = \\ [/tex]

[tex]22 - 0.75 = 21.25[/tex]

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