what is the slope of the line that goes through points (2, -4) and (-1, 8)

Answers

Answer 1

Answer:

Slope = -4

Step-by-step explanation:

Given coordinates,

→ x1 = 2, y1 = -4

→ x2 = -1, y2 = 8

Now we have to,

→ Find the required slope of the line.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Then the required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (8 - (-4))/(-1 - 2)

→ m = (8 + 4)/-3

→ m = 12/(-3)

→ m = -12/3

→ [ m = -4 ]

Therefore, the value of m is -4.

Answer 2

Hello !

Answer:

[tex]\Large \boxed{\sf Slope =-4}[/tex]

Step-by-step explanation:

The slope of a line is given by the following formula : [tex]\sf m=\dfrac{y_B-y_A}{x_B-x_A}[/tex] where [tex]\sf x_A[/tex] and [tex]\sf y_A[/tex]  are the coordinates of A (same for B).

Given :

[tex]\sf A(2,-4)[/tex][tex]\sf B(-1,8)[/tex]

Let's calculate the slope with the previous formula :

[tex]\sf m=\frac{8-(-4)}{-1-2} \\\sf m=\frac{8+4}{-3}\\ \sf m=-\frac{12}{3} \\\boxed{\sf m=-4}[/tex]

Have a nice day ;)


Related Questions

in slope-intercept form, that is perpendicular to the equation =32+6 y = 3 2 x + 6 passing through (-12,15)?

Answers

Answer:

Step-by-step explanation:

Is "32+6 y = 3 2 x + 6" written correctly?  I'll assume y=32x+6 is the corerect equation.  If 32+6 y = 3 2 x + 6 is correct, reduce it to:  

6y = 32x-26

y = (16/3)x - 4.5 and follow the same steps

=====

An equation perpendicular to y=32x+6 will have a slope that is the negative inverse to the reference line slope, in this case 32.  The negative inverse of 32 is -(1/32).

The perpendicular line will be y = -(1/32)x+b.

To find a value for b, use the given point (-12, 15) and solve for b:

y = -(1/32)x+b

15 = -(1/32)*(-12)+b

b = 15- (12/32)

b = 14.625

y=-(1/32)x+14.625

The ratio of red markers to green markers is 5:4 if the are 12 green markers how many red markers are there?

Answers

15 green markers

because 4 x 3 = 12

5 x 3 = 15

If

f

(

x

)

is a linear function,

f

(



2

)

=

2

, and

f

(

2

)

=

0

, find an equation for

f

(

x

)

Answers

Answer:

f(x) = -1/2x + 1

Step-by-step explanation:

Remember that f(x) = y

f(-2) = 2   tells you that when x = -2,  y = 2 ;  So you have point (-2, 2)

f(2) = 0    tells you that when x = 2, y = 0 ;  So you have point (2, 0)

Now use the two points to find the slope:  Slope = (change in y)/(change in x)

So slope = (0-2)/(2-(-2) = -2/4 = -1/2

Next find "b" using the slope and one  point and solve for "b"

y = mx + b             slope = -1/2     point (-2, 2)

2 = -1/2(-2) + b

2 = 1 + b

1 = b

Last thing to do: write the equation using slope = -1/2 and b = 1 into y = mx + b

y = -1/2x + 1

A power line crosses over a river. Viewed from above, it intersects the banks of the river to create the angles shown.

If the two river banks are parallel, what is the value of x ?

Answers

Answer:

Step-by-step explanation:

A student walked 1/4 mile from her home to her store on her way to her friends house If the store is 1⁄3 of the way to her friend's house how far is the friend house from her home

Answers

Answer: −1/12 miles

Step-by-step explanation: 1/4-1/3                                                                       1/4+−1/3                                                                                                                 3/12+−4/12                                                                                                               −1/12       

     

Answer:

³/₄ mi

Step-by-step explanation:

Distance from home to store = ¹/₄ mi

Distance to the friends house is 3 times the distance to the store so it is simply 3 x ¹/₄

Please help me I’m dying

Answers

Answer:

a° = 58°

b° = 48°

c = 74°

d° = 122°

Step-by-step explanation:

Angles on a straight line add up to 180°

58° + d° = 180°

d° = 180° - 58° = 122°

Alternate angles are equal.

a° = 58°

Angles in a triangle add up to 180°.

48° + 58° + c° = 180°

106° + c° = 180°

c° = 180° - 106° = 74°

Angles on a straight line add up to 180°

74° + 58° + b° = 180°

132° + b° = 180°

b° = 180° - 132° = 48°

help plzzzzzzzzzzzzzzzz

Answers

Answer:

I think the awnser is for AOC is 120 I think

Determine the measure of the indicated interior angle.

Answers

1.60degrees 2.60degrees 3.90degrees 4.30degrees all of these are 30 60 90 triangles

The function with the domain {2,3,4} is

Answers

Answers in yuh textbook

Answer:

Option A and D are correct.

f(x) = 3x+2

range = {8,11, 14}

Step-by-step explanation:

Domain states that all the possible values of x where function is defined

Range defined as the complete set of all values of f(x).

As per the statement:

A function with the domain (2, 3, 4) has a specific range.

To determine the function and its range.

Let function f(x) = 3x+2, then

x           f(x) = 3x+2

2            8

3            11

4            14

and

Let f(x) =  x+1

x           f(x) = x+1

2            3

3            4

4             5

Therefore, the function with the domain {2, 3, 4} is 3x+2 and its range is {8,11, 14}

Suppose you have 2 pieces of ice with the same volume but in different shapes. If one of the pieces has a greater surface area than the other, it will cool a beverage faster than the ice with less surface area.
Describe 2 different pieces of ice that have the same volume, but have different surface areas

Answers

Answer:I recommend trying a rectangle ice and a square shaped ice that are the same volume.

Step-by-step explanation:

Sorry if I get it wrong pls let me know what I did so I could learn from my mistakes.

In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south.

Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.

Zippy’s advertises that it delivers within a 4 mile radius.



-Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.
-How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?
-Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?
-How far is Little Cubs Field from the radius of delivery?

Answers

The area of delivery of Zippy's Pizza given by a radius of delivery is a

circular area.

First Question: x² + y² = 4²Second Question: √5 miles to the west and √5 to the east from route 26Third Question; The distance between Little Cub's Field and Zippy is 2·√5 milesFourth Question: The distance between Little Cubs Field and the radius of delivery is 2·(2 - √5) miles.

Reasons:

Direction of Empire Street = East to west

Direction of route 26 = North to south

Location of Zippy's Pizza parlor on route 26 = 3 miles south of Empire street

The radius of the area Zippy makes delivery = 4 miles

Question One:

Required: Equation for the radius of delivery

Solution:

The equation of a circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

Where the center of the circle is at the origin, we have;

(h, k) = (0, 0)

Therefore, the equation that represents the radius of delivery for Zippy's Pizza is  is; (x - 0)² + (y - 0)² = r²

x² + y² = r²

The radius r = 4, the equation is therefore;

x² + y² = 4²

Second Question;

The equation that represents Empire street with Zippy's Pizza at the origin is y = 3

Therefore at the maximum distance east and west, along Empire street, we have;

x² + 3² = 4²

x² = 4² - 3² = 5

x = ±√5

The distance east and west along Empire street where one can still receive pizza are; √5 miles west and √5 east from Route 26

The maximum distances from route 26 a person can live on Empire street and receive pizza are;

√5 miles to the west and √5 to the east from route 26

Question Three;

The location of Little Cubs Field = 2 miles west and 4 miles north from Zippy's

The coordinates of Little Cubs Field relative to Zippy at the origin is therefore;

Little Cubs Field coordinates = (-2, 4)

The distance between Little Cub's Field and Zippy, d = √((-2)² + 4²) = 2·√5 miles

Question Four;

The distance between Little Cubs Field and the radius of delivery is given as follows;

D = d - r = 4 - 2·√5

The distance between Little Cubs Field and the radius of delivery is D = 2·(2 - √5) miles.

Learn more here:

https://brainly.com/question/6780708

what is the answer if f(x) = 2x-4 if f(x)= -2

Answers

Answer:

x = 1

Step-by-step explanation:

Since we know f(x) = -2, we can replace f(x) with -2 in our function and then solve for x:

[tex]-2 = 2x -4[/tex]

Let's add 4 to both sides.

[tex]2 = 2x[/tex]

And then divide both sides by 2.

[tex]x=1[/tex]

And that's value of x, or the answer to our equation. Hopefully this was helpful... if you have more questions, let me know! :)

HELP ME PLEEEAAASSSEEEEE​

Answers

J. (6, 5)

Hope that helped:)

PLZ HELP 1000 POINTS AND BRAINLIEST

Answers

Not letting me add the answer pls refer to the attachment

Answer:

lol

Step-by-step explanation:

NEED THIS ANSWER REALLY FAST PLZ (WILL GIVE BRAILIEIST)

Rewrite in simplest terms: -8(9r-1)-9(-8r+2)−8(9r−1)−9(−8r+2)

Answers

Answer:

-20

Step-by-step explanation:

Distribute: -72r + 8 + 72r -18 -72r + 8 + 72r -18

Combine Like Terms: 16 - 36

Subtract: -20

Answer:

Step-by-step explanation:

CAN SOMEONE PLEASE HELP WILL MARK BRAINLIEST I JUST NEED HELP WITH THE LAST ONE THE GREEN SECTION

Answers

There isn’t any pictures....

BRAINLIEST BRAINLIST HELP HELP HELP MEEEE ling made roasted potatoes and onions for dinner last night. she cut up 4 times as many potatoes as onions to make the dish. If ling cut up 15 vegetables in all, how many potatoes did she cut?​

Answers

Answer:

She cut 12 potatoes in total

Step-by-step explanation:

Lol sorry for not explain but i do hope this was helpful!

God loves u also God Bless !

Answer:

12

Step-by-step explanation:

good luck and btw it is right

Question nine is this answer blue instead of green?

Answers

Answer:

The answer is the blue line

Answer:

The answer is the blue line :)

What's the circumference of a
circle with a diameter of 7 inches?
а
Use 3.14 for T.

Answers

Answer:

the circumstance is 21.99

Plzzz every1 this is due today what does a equal2

Answers

Answer:

q=15

Step-by-step explanation:

4q/5+5(-5)/5=7

4q+5(-5)/5=7

5x5=-25

4q-25/5=7

q=15

Answer:

q = 15

Step-by-step explanation:

We need to use inverse operations.

5 + 7 = 12

now the equation is 4q/5 = 12

what we do is  4 = 5 ⋅ 12

5 x 12 = 60

60 divided by 4 = 15

q = 15

check:

60/5 - 5 = 7

PLEASE PLEASE PLEASE HEEELP D,:

Answers

Answer: -14+8q

Step-by-step explanation:

Multiply the two against everything inside the parentheses

help anyone im stuck?

Answers

Answer: 222.58 should be the correct answer.

What is the solution to this equation? −4(x−11)=56
I need help!! pls

Answers

the answer is -3
ur welcome
the answer is x = -3

I'm in desperate need of help. SC = 15, find CX

Answers

Answer:

5

Step-by-step explanation:

2x + x = 15

3x = 15

x = 15/3

x = 5

SC = x = 5

I needa know how to do this

Answers

Answer:

So I (3,0) becomes I' (1,3)

H (5,2) H' (1,1)

G (2,4) G' (2,1)

Step-by-step explanation:

So let's start with I, just count how many times you move to the left then how many times you move up.

UR WELCOME BABEEEE~ <3

Pls tell me the answers i've been trying to get them for 32 mins......

Answers

8 baskets and 1 apple remaining

You just have to divide 25 by 3 and you’ll get 8 1/25

Losing 50 dollars may affect one’s level of happiness more than winning 50 dollars. This illustrates the concept of __________ aversion. A. Loss B. Preference C. Risk D. Decision Please select the best answer from the choices provided A B C D.

Answers

Answer:

loss

it affects you more to lose something than to gain

Answer:

Loss

Step-by-step explanation:

HELP. I DONT WANNA FAIL

Answers

Answer:

A. Proportional

B. Non-Proportional

C. Non-Proportional

D. Proportional

Step-by-step explanation:

1. For each graph divide the first cost by the number of apples

- 2.25 divided by 5 is .45 (price for one apple)

- 1.85 divided by 5 is .37 (price for one apple)

- 2.60 divided by 5 is .52 (price for one apple)

- 2.10 divided by 5 is .42 (price for one apple)

2. If you can multiply the price for one apple by the total # of apples and it matches the total cost throughout the entire graph then it's proportional.

A bottle of tomato ketchup contains 250g and costs $1.30. How much would 1kg cost?

Answers

If 1000g is equal to 1kg than 1000 divided by 250 is 4. 1.30•4=$5.20

100 points & brainliest!

Answers

Answer:

=D2/E2

Step-by-step explanation:

If you were developing an Excel spreadsheet that finds the unit price of any object, where:

Cell E2 contains the number of units

Cell D2 contains the price of the object

Cell C2 contains the unit price

Then, you will have to create the following formula on cell C2 to find the unit price of the object:

=D2/E2

You will have to enter this formula in Cell C2 (exactly as is) to get the proper calculations for the unit price.  Attached is a screenshot of how it will appear on an Excel spreadsheet once you enter the given formula in Cell C2.

Answer:

D2/E2

Step-by-step explanation:

I had this exact question when i was at school…i know it says high school still i don’t know how to change that lol but i wonder i wonder if we went to the same school


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