Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer 1

Answer:

[tex]\displaystyle (y - 2) = -\frac{2}{3}\, (x + 8)[/tex].

Step-by-step explanation:

Given two points [tex](x_0,\, y_0)[/tex] and [tex](x_1,\, y_1)[/tex] on a line in [tex]\mathsf{2D}[/tex], the slope of that line would be:

[tex]\begin{aligned} m &= \frac{y_1 - y_0}{x_1 - x_0} \\ &= \frac{-4 - 2}{1 - (-8)} = -\frac{2}{3}\end{aligned}[/tex].

For a line with slope [tex]m[/tex] and a point [tex](x_0,\, y_0)[/tex], the point-slope equation of that line would be:

[tex]y - y_0 = m \, (x - x_0)[/tex].

It was already found that for this line, slope [tex]\displaystyle m = -\frac{2}{3}[/tex]. Take [tex](x_0,\, y_0) = (-8,\, 2)[/tex]. That is: [tex]x_0 = -8[/tex] and [tex]y_0 = 2[/tex]. Find the equation of this line in point-slope form:

[tex]\displaystyle (y - \underbrace{2}_{y_0}) = \underbrace{\left(-\frac{2}{3}\right)}_{m}\, (x - \underbrace{(-8)}_{x_0})[/tex].

Equivalently:

[tex]\displaystyle (y - 2) = -\frac{2}{3}\, (x + 8)[/tex].


Related Questions

If you want another good app for math I suggest Conects

Answers

Thank you so much for the tip

Whats the answer? HELP??

Answers

Answer:

(1). 50.0° ; (2). 15.5 units

Step-by-step explanation:

1) 50.0° 2) 25.5 units

how do I solve number 1?​

Answers

9514 1404 393

Answer:

  1) ΔCBA ~ ΔCQR

  2) ΔCDE ~ ΔCTS

Step-by-step explanation:

In both cases, the vertical angles at C are congruent. The marking shows an additional internal angle is congruent, so the triangles are similar by the AA similarity postulate.

The vertex at C is named first, followed by the marked angle in each of the given similarity statements. The same order must be used for the vertices in the similar triangle.

  1) ΔCBA ~ ΔCQR

  2) ΔCDE ~ ΔCTS

sally works for 38 hours per week
her weekly wage is £355.68
she receives a pay increase of 23p per hour
work out her new weekly wage
give you're answer in £

Answers

It's 38*23 =874 dollars

HELPPPP
Select all of the linear equations with a solution of x=1 and y=3. hellpppppp

Answers

What are the options?

Use the distributive property to simplify the expression 6(y + 8)

Answers

Answer:

6Y + 48

Step-by-step explanation:

Answer : 6y+48

Distribute

6(y) + 6(8)

- 4 + 4b + 5 + 8b


It’s needs to be simplified
I need an answer asap

Answers

Answer:

12b+1

Step-by-step explanation:

-4 + 4b + 5 + 8b

12b+1

12b +1
Hope that helps

Which ordered pairs are on the graph of 7x-y=2
Select all that apply:
(-3,-19)
(-1, -9)
(0, -2)
(1, 9)
(3,23)

Answers

Answer:

(0, -2)

Step-by-step explanation:

Because 7 (0) - (-2)= 2

7X0 = 0   - (-2) becomes +2

so 0+2=2


You want to order some books that cost $16 each. Shipping is $8 per order.
If you buy 12 books, what will the order cost?

$192

$112

$288

$200

Answers

Answer:

$200

Step-by-step explanation:

12 x 16 = 192

192 + 8 = $200

answer: $200

$16 a book and you’re getting 12 so 12 multiplied by 16 = 192 plus shipping ($8 per order and this is only one order so only add 8 once.)

Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply.

Answers

Answer:On a Road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?

Step-by-step explanation:

NEED HELP PLZ

Each edge of the cube measures 4 inches in length
What is the distance, in inches, from vertex B to vertex H? Round your answer to the nearest tenth of an inch

Answers

Answer: The distance from vertex B to vertex H is 6.9 inches.

Step-by-step explanation:

The length of the line BH can be thought of as the hypotenuse of a triangle rectangle where the catheti are the lines HD (whit a measure of 4in) and line DB.

The length of the line DB can be thought of as the hypotenuse of a triangle rectangle where the catheti are lines DA and AB (both are 4in long)

Then if we use the Pythagorean's theorem, the length of line DB is:

(DB)^2 = (DA)^2 + (AB)^2

(DB)^2 = (4in)^2 + (4in)^2 = 32in^2

(DB) = √(32in^2) = 5.66 in

Whit this, we can find the length of line HB as:

(HB)^2 = (HD)^2 + (DB)^2

(HB)^2 = (4in)^2 + (DB)^2 = 16in^2 + 32in^2 = 48in^2

HB = √(48in^2) = 6.93 in

If we round to the nearest thent, we get:

HB = 6.9 in

The distance from vertex B to vertex H is 6.9 inches.

What is the solution to the system of equations below?
26 + y = 8
83 - y=2

Answers

Answer:

No Solution

Step-by-step explanation:

26 + y = 8

-26

y = -18

proof 26 + (-18) = 8

83 - y = 2

+83

-y = 85

*-1

y = -85

-18 does not = -85 and I don't see an X in your system of equations

Write an expression that is equivalent
to 2/8b+(3/8b+4/5)

Answers

Answer: 5/8b + 4/5

EXPLAIN: It's too easy explain it yourself. (LOL)

The value of the equation is A = ( 5/8 )b + 4/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( 2/8 )b + ( 3/8 )b + ( 4/5 )   be equation (1)

On simplifying the equation , we get

A = [ ( 2/8 )b + ( 3/8 )b ] + 4/5

A = ( 5/8 )b + ( 4/5 )

On further simplification , we get

A = ( 25b + 32 ) / 40

Therefore , the value of A is ( 5/8 )b + ( 4/5 )

Hence , the equation is A = ( 5/8 )b + ( 4/5 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

The data below shows the attendance of fans at each home game for the high school baseball team. Fan attendance at home games: 34, 37, 30, 65, 34, 38, 41, 33 Calculate the average attendance with and without the outlier. A. Average Attendance with the outlier: B. Average Attendance without the outlier: (Round to the nearest thenth) Question 1 options:

Answers

Answer:

Average attendance with outlier = 39

Average attendance without outlier = 35.3

Step-by-step explanation:

Given the following data 34, 37, 30, 65, 34, 38, 41, 33

The outlier is the value that is lower or higher than other values in the dataset. Hence the outlier in this case is 65

Average = Sum of data/sample size

With the outlier;

Sum of dataset =  34+37+30+65+34+38+41+33

Sum of datasets = 312

Sample size =  8

Average attendance with the outlier = 312/8

Average attendance with the outlier = 39

Without the outlier;

The required data will exclude 65;

34, 37, 30, 34, 38, 41, 33

Sum of data = 34+37+30+34+38+41+33

Sum of data = 247

Sample size = 7

Average attendance without outlier = 247/7

Average attendance without outlier = 35.3

1. List the area of each shape on the lines below. Then, list the shapes in order of area from
greatest to least.
9 cm
11 cm
9.2 cm
A
B
11 cm
6 cm
С
8 cm
D
14.5 cm
11.3 cm
19 cm
Bzom

Answers

Answer:

15.6 answer

marks as branilist

what is the numeric value of E + B?​

Answers

Answer:

19 is the numerical value

Step-by-step explanation:

Also, when it's converted to number I.e.

E = 14 , B = 11

= 14 + 11 = 25

But in letters the numerical value is

E + B = 19

the numeric value of e +b is 19

Find the value of each variable
X=
Y=

Answers

x equals 7
y equal 7 square root 3

The computer lab has 37 wireless touchscreen devices
and 13 traditional devices. About what percent of the
lab are wireless devices?
Pleaseeee help me
<3

Answers

Answer:

Step-by-step explanation:

total devices = 37+13 = 50

37/50 = 74/100 = 74%

Helpppppp pleaseeeeeeee

Answers

Answer:

125

Step-by-step explanation:

6 and 7 are on a straight line (180 degrees)

Angle 2 is equal to Angle 6

Therefore 180 - Angle 6 = Angle 7

180 - 55 = 125

Well since angle 2 and 7 are not alternate exterior or interior or corresponding, they are not equal to each other so angle 2 is 55 degrees but not angle 7.
To find angle 7, we know it’s gonna be supplementary which will equal 180 degrees. So 180-55=125
The answer is 125 degrees

y=x +1. what is y and x and then the (x, y) thing and the slope and the y intercept

Answers

Answer:

Your answer is

From the equation : y=x+1

slope is 1 y intercept is 1

(x,y)= ( 1,2),(3,4)...........................(Infinity -1,Infinity)

Hope that this is helpful. Tap the crown button, Like & Follow me


Complete the table, y= 7/8x-1

Answers

Answer:

1. y = -11/4; (-2, -11/4)

2. y = -1; (0, -1)

3. y = -1/8; (1, -1/8)

4. y = 0; (8/7, 0)

5. y = 3/4; (2, 3/4)

Step-by-step explanation:

what's the value of
[tex] \sqrt{400} = [/tex]

Answers

Answer:

20

Step-by-step explanation:

Use a calculator, press squareroot button on a calculator and press 400 it will give you 20... Its like 20*20=400

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

20

Step-by-step explanation:

Hope it is helpful....

Question 2 Using the estimates you found in question 1, convert the lengths into decimal numbers and then find the actual area of each tile.

Answers

Answer:

Step-by-step explanation:

Answer:

A: 5.0625

B: 10.16015625

C: 15.015625

Step-by-step explanation:

Do -2,28 and 0,15 have a slope of -6

Answers

No they do not have a slope of -6.

2m + 56 = –2m
full answer no word

Answers

2m + 2m= -56
4m= -56
m = -14

Find the percent of decrease from 87 pounds to 16 pounds. Round to the nearest tenth of a percent if necessary. Should be in percent form.

Answers

Answer:

81.6

Step-by-step explanation:

365 days into Second​

Answers

Answer: 31,536,000

Step-by-step explanation:

A new health drink has 140% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 60mg. how many milligrams of the vitamin are in the drink?

Answers

140% of 60 = 84mg

The answer is 84 mg

Which describes the intersection of like my and line n? Please

Answers

Answer:

point W

Step-by-step explanation:

looking at the image, we can locate line M and line N.

upon locating, we can find the point of intersection between the two lines(its a bold dot) to be point W

a triangle has a height of x inches. the length of the base of the triangle is 6 inches less that 2 times the height. which equation represents the area, A, of the triangle?

Answers

So the equation for a triangles area is bh/2
If the base is 2h-6 and the height is h then 2h-6 X h/2 is the area. Hope that helps
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