Find the gradient of the straight line joining A(-4, -1) to B(4, 2)​

Answers

Answer 1

Answer:

The slope of the line is  [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Given parameters:

                       A(-4, -1) to B(4, 2)​

Unknown:

The slope of the line joining the two points

Solution:

To find the slope of the line;  we use the expression below:

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

x₁ = -4

y₁ = -1

x₂ = 4

y₂ = 2

Input the parameters and solve;

      Slope  = [tex]\frac{2 -(-1)}{4-(-4)}[/tex]

     Slope  = [tex]\frac{3}{8}[/tex]

The slope of the line is  [tex]\frac{3}{8}[/tex]


Related Questions

2/3x = 27 please help

Answers

X= 81/2 this is the answer

PLEASE HELP GOTTA GO TO CROSS COUNTRY PRACTICE PLEASE AND THANKS MARK YOU BRAINLIEST

Answers

Answer:

1. $13.78

2. 5.3lbs

3. $4.56

4. 30.44lbs

5. $32.07

Step-by-step explanation:

Simple addition and subtraction.

What is the answer to this?

Answers

the answer is D, the last option

IIIlas' car usses 65 L of petrol to travel 728 km, while Hanis car uses 48 L in 552 km

how much petrol would each car use to travel 830 km ?​

Answers

Answer:

65l-728km

x-830km

65×830/728=53950÷728=74,107

48L-552

x-830

48×830/552=39840/552=72.173

8×5 +6-10
What is the answer for this​

Answers

36
8x5 first cuz PEMDAS
40+6-10
46-10
36 is your answer
36 is the answer to this question

You fill your car with gasoline at a service station for $2.75 per gallon. You pay with a $50 bill.
How much change will you receive if you buy g gallons of gasoline? How much change will you
receive if you buy 14 gallons?

Answers

The answer to your question is $11.50

SOMEONE PLZ HELP ME !!! ASAP

Solve this problem.
6x > 60

Answers

x>10

All you have to do is divide by 6 on both sides

What is the equation of the least-squares regression line for the data set?

A) y=−1.988x+43.293
B)y=−0.879x+43.293
C)y=1.988x−43.293
D)y=−0.879x−43.293

Answers

Answer:

The answer is option A y = −1.988x + 43.293

Step-by-step explanation:

I just took the test

The equation of the least squares regression line for the data set will be;

y = -1.988x + 43.293

Option A is true.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The table of data set is shown in figure.

Now, Let hours represent by x.

And, Tickets sold represent by y.

So, By the equation;

y = -1.988x + 43.293

Substitute x = 11;

y = -1.988 × 11 + 43.293

y = - 21.868 + 43.293

y = 21.62

y = 22

And, For x = 9;

y = -1.988 × 9 + 43.293

y = -17.892 + 43.293

y = 25.4

y = 24

Thus, Equation y = -1.988x + 43.293 shows the least-squares regression line for the data set.

So, The equation of the least squares regression line for the data set will be;

y = -1.988x + 43.293

Learn more about the linear expression visit:

https://brainly.com/question/22563198

#SPJ2

Simplify.

14+4(12−34)2

Answers

Answer:

-162

Step-by-step explanation:

Answer:

brainliest plssss

Step-by-step explanation:

answer is in the img belowwwwww

how do process you used for parts a and b differ ? how are they the same ?

Answers

Answer:

helppppppppppppppppppp

By his rich hcybhvtftvgnijtchvrxtb text

Expand & simplify
(x+2)(x−3)(x+4)

Answers

(x+2 would be -2). (x-3 would be +3) (x+4 would be -4). This is what i learned in algebra

A triangular garden has two rock walls meeting at a right angle. The length of one of the walls is 20 feet. Use the image to find d, the length of the other wall.

Answers

Step-by-step explanation:

Here you go, I hope this is helpfull

The length of the other side of the wall is √500 ft

Pythagoras theorem

To get the length of 'd', we will use the pythagoras theorem as shown below:

Given the following

Hypotenuse = 30ftAdjacent = 20ft

According to the theorem;

[tex]h^2=a^2+d^2\\30^2 = 20^2 + d^2\\900 = 400 + d^2\\d^2 = 900 - 400\\d = \sqrt{500} ft[/tex]

Hence the length of the other side of the wall is √500 ft

Learn more on pythagoras theorem here: https://brainly.com/question/343682

What is the value of x, rounded to the nearest tenth?

Answers

Answer:

can you put some context?

Step-by-step explanation:

The points (5,-2) and (7,r) lie on a line with slope 4. Find the missing coordinate r.

Answers

Answer:

A slope of four means that it moves up four and over 1. Since 7-5 is 2, you must half the 1. (7, 2.5)

Triangle XYZ is a right triangle with the right angle at vertex Y.

Angle X must be
.

Angle Z must be
.

The sum of angles X and Z must be
90°.

Answers

The sum of angles X and Z is 90°.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle XYZ.

∠Y = 90°

Now,

The sum of the three angles must be 180°.

So,

∠X + ∠Y + ∠Z = 180

∠X + ∠Z = 180 - 90

∠X + ∠Z = 90

Thus,

∠X + ∠Z = 90

Learn more about triangles here:

https://brainly.com/question/25950519

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Determining Angle Relationships in Right Triangles

Acute
Acute
Equal to

Step-by-step explanation:

see picture

ALGEBRA NATION!!! NEED HELP :(

Answers

Length of AC is 5 I hope this helps I can’t think right right now so bare with me











givenf(x)=10(6-x), what is the value of f(-2)

Answers

Answer:

80

Step-by-step explanation:

f(x)= 10(6-x)   original equation

y= 10(6-(-2)    plug in variable

y= 10 (6+2)      simplify

y= 10(8)

y= 80

I DONT UNDERSTAND HELLPPP

Answers

You need to attach the previous question as I need that information to solve this question.

Answer:

choice answer choice f

the expression 9.78(4.3x + 5.15) simplifies to

Answers

Answer: 42.097x+50.4185

Step-by-step explanation:

what is the number pattern for 7 12 17 22​

Answers

Answer: Add 5 to every number

Steps: 7, 12, 17, 22, 27, 32, 37, 42, 47...

Plz mark brainliest:)

Eduardo has to make a 10 minute video of his test corrections for his Algebra 2 teacher in order to be eligible to retest. His teacher said he must stay within three minutes of the 10 minute requirement. Write an absolute value inequality that represents video lengths that meet the requirement. No spaces. On your keyboard,

Answers

Answer:

7 ≤ v ≤ 13

Step-by-step explanation:

Length of video required must be within 10 minutes

Submitted length of video must be with 3 minutes of the 10 minutes video

To create an absolute value inequality :

Let v = the range of value for which the required video will be :

|v - 10| = ±3

Lower boundary :

|v - 10| = - 3

v = - 3 + 10

v = 7

Upper boundary :

|v - 10| = 3

v = 3 + 10

v = 13

Hence,

7 ≤ v ≤ 13

Suppose y varies directly with x. If y = 6 when x = 18, find the value of y when
x= 8.

Answers

Answer:

y = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

y = 6 when x = 18 , then

6 = 18k ( divide both sides by 18 )

k = [tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x ← equation of variation

When x = 8, then

y = [tex]\frac{1}{3}[/tex] × 8 = [tex]\frac{8}{3}[/tex]

Which expression is equivalent to 6(2x-8) *
A : 12x+48
B: 12x-8
C: 12x-48
D: 2x-48

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6(2x-8)

6 * 2x = 12x

6 * -8 = -48

12x - 48

Jeff hikes 0.5 mile every 0.25 hour or 25 minutes. How many miles does Jeff hike in 1 hour or 60 minutes.

Answers

Answer:

0.25 hour is 15 minutes because its 1/4 of an hour. but the answer is 2 miles for 60 minutes

Step-by-step explanation:

solve for a. 1/3(21-3a)=6-a

Answers

Answer:

no solution

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (21 - 3a) = 6 - a ( multiply through by 3 to clear the fraction )

21 - 3a = 18 - 3a ( subtract 21 from both sides )

- 3a = - 3 - 3a ( add 3a to both sides )

0 = - 3 ← not possible

This indicates the equation has no solution

After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 10 pounds. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth. W=? Please answer !!!

Answers

Answer:

W = 10 +1.5t

Step-by-step explanation:

10 pounds

addition of 1.5 pounds

use the algrebraic description (x,y)=(x+2, y-3) to find the image of

Answers

Answer:

(2,-3)

Step-by-step explanation:

basically u connect the numbers to what its giving u like x+2 connect the "x" to the x in (x,y) and you do the same for "y", y-3 to (x,y) gives u (x,-3)

The function T = 25 - sin ( – 4)) +5
+55 gives the average monthly temperature, T, in a city, where m represents the
month. In which month is the average temperature the same as in m = 3?
Om = 5
Om = 7
Om = 9
O. m = 11

Answers

Answer:

the third one ithink

Step-by-step explanation:

each cd cost $5 you have $40 to spend on cds write an inequality for the possible number of CDs you could buy the find the maximum number of CDs you can buy

Answers

40=5x
x=8
maximum number of cds you can buy is 8

What is 9.6758473648 to the closest hundredth

Answers

Answer:

The answer is 9.68

Step-by-step explanation:

The closest hundred is here   9.6858473648

                                                 -------

But the 5 has an 8 in the back which makes it a 6 and that means its greater so the 7 becomes an 8

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