Find the slope of the line through the given points (4,-2),(-1,8)

Answers

Answer 1

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, -2)

Point (-1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                             [tex]\displaystyle m=\frac{8+2}{-1-4}[/tex][Fraction] Add/Subtract:                                                                                  [tex]\displaystyle m=\frac{10}{-5}[/tex][Fraction] Divide:                                                                                                 [tex]\displaystyle m=-2[/tex]

Related Questions

Dado los puntos p1 (-7/2-9/2) y p2 (5/2, 3/2) calcular la representación gráfica, d p1 p2, pto medio de p1 p2, la pendiente (m) de la recta que pasa por medio de ellos. Porfavor ayúdenme la tarea es para el viernes y no entendió ​

Answers

Answer:

Ce clasă ești sa văd daca te pot ajuta

Hi! PLS HELP ITS 30 POINTS!! Thanks!
A soda bottle holds 1.5 liters of soda. How many milliliters does the bottle hold?

15 millimeters
150 millimeters
1,500 millimeters
15,000 millimeters
Pls help!
Imma report u if its something off the topic!
Thanks again!
(its not b i tried it and got it wrong!! )

Answers

Answer:

1,500 millimeters

Step-by-step explanation:

1 litre = 1000 millilitre.

Try 1,500.

Help me please answer thanks

Answers

x: spiders, y:tree
x+2y=40
2x+5y=85

HELP PLEASE DUE TODAY: Write the ratio as a fraction in simplest form.
10 feet to 4 yards

Answers

Answer:

imma say 10/4

Step-by-step explanation:sorry if wrong

Answer: 5 feet 2 yards

Step-by-step explanation: Just divide both of the numbers by a number that both of them can go through

When can we say that a function is continuous?

Answers

Saying a function f is continuous when x=c is the same as saying that the function's two-side limit at x=c exists and is equal to f(c).

Answer the photo below thanks

Answers

Answer:

6x60=360

Step-by-step explanation:

60

1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day

Answers

Answer:

1152 tons of grains

Step-by-step explanation:

We are told in the above question:

Total number of grains = 1440 tons of grain

On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.

Hence,

The number of grains brought in during the first day = 80% × 1440 tons

= 80/100 × 1440 tons

= 1152 tons of grains

James has 838 feet of rope. There are 17 teams of hikers. If James gives an equal amount of rope to each team, how much rope will each team receive?

Answers

Answer:

838 ÷ 17 = 49.29 feet each

Step-by-step explanation:

divide the total rope by number of hikers equals amount of rope each hiker will receive.

A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?

Answers

The amount of money that will go to the school is $ 3816.00

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 ,

The sale price of set of pens = $ 5.25

The cost price of set of pens = $ 1.80

The profit of pens = sale price of set of pens - cost price of set of pens

                              = $ 5.25 - $ 1.80

                              = $ 3.45

Now , the equation will be

Forty percentage of profit = ( 40 / 100 ) x $ 3.45

                                           = $ 1.38

The amount that will go to the school =
Forty percentage of profit + cost price of set of pens

The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80

                                                                                        = $ 3.18

The equation will be ,

Now , the total number of sets of pens sold = 1200

And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200

The total cost price of 1200 sets of pens = $ 1.80 x 1200

                                                                   = $ 2160

The total profit of 1200 sets of pens = Forty percentage of profit x 1200

                                                            = $ 1.38 x 1200

                                                            = $ 1656

Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens

The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656

The amount that will go to the school for 1200 sets of pens  = $ 3816

Therefore ,

The amount that will go to the school = $ 3816.00

Hence , The amount of money that will go to the school is $ 3816.00

To learn more about equations click :

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Jay makes $9 an hour plus a 12.5% commission selling jewelry how much does she earn on an 8-hour shift and what she sells $380 worth of jewelry​

Answers

Answer:

117.6    

Step-by-step explanation:

How many solutions does -7+5x=5x+9

Answers

Answer:

There are no solutions. This question is impossible.

Step-by-step explanation:

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 2?

Answers

Answer:

(D)

Step-by-step explanation:

If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).

Answer:

D on edge

Step-by-step explanation:

What are the answers
2x = 10; x=?

-3x = 21;x=?

1/3x=6; x=?

-1/2x = -7;x?

Answers

Answer:

1) 5 2)7 3)18 4) 14

Step-by-step explanation:

Find the solution set of the inequality

8x - 8 ≤ -72

Answers

The answer is inequality is x< -8 u see for the right next to -72 the pattern like that I don’t have it so the less than has the under line

Answer:

x ≤ -8

Step-by-step explanation:

8x-8  ≤ -72

   +8     +8

8x ≤ -64

divide by 8

8x/8 ≤ -64/8

x ≤ -8

Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2

Answers

Answer:

[tex]F(x) = f \circ g[/tex]

[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Step-by-step explanation:

Given

[tex]F(x) = x + 2[/tex]

Required

Express as

[tex]F(x) = f \circ g(x)[/tex]

In functions:

[tex]f \circ\ g(x) = f(g(x))[/tex]

So, we have:

[tex]f(g(x)) = x + 2[/tex]

g(x) can be set to x and f(x) to x + 2

Hence:

[tex]F(x) = f \circ g[/tex]

When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answers

Answer:Suppose that the equations are:

The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.

N(T) = a0*r^(T)

Also, the number of people that leaves the park as the temperature increases are:

M(T) = a*T + b

So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:

N(T) - M(T) = total change in the park population as the temperature changes = C(T)

C(T) = a0*r^(T) - a*T - b

Step-by-step explanation:

helppppppppppppppppp

Answers

Answer:

16.

Step-by-step explanation:

What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.

Here is our equation: 75/100 x 64 = 48.

So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.

So the price of the wedding cake during the sale is 16.

Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)

Answers

Answer:

[tex]p=117[/tex]

Step-by-step explanation:

Given number is [tex]p[/tex].

Two-third of the number = [tex]\frac{2}{3}p[/tex]

One-third of the number = [tex]\frac{p}{3}[/tex]

The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.

[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]

please help and show work​

Answers

To prove that the triangle is scalene, calculate all the lengths of the sides.

The formula for a line like this is basically pythagorean theorem, which is

[tex]p = \sqrt{ {(y2 - y1)}^{2} + {( x2 - x1})^{2} } [/tex]

(x1, y1) and (x2, y2) are the respective vertexes.

Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?

Answers

Answer:

Espero que isto ajude!

Step-by-step explanation:

q  duplica  logo a razão q =2

1 hora = 60 minutos

4 hs *  60 min = 240 minutos ou 240 : 6    = 40  vezes   6 minutos

Nota >  240 minutos tem 40 * 6 minutos

n = 40

a1 = 6 min  = 3

a2 = 12 min = 3 * 2 = 6

q3 = 18 min  =  6  *2  =12

an = a1 * q^n-1

a40  = 3 * 2^40-1

a40 = 3 * 2^39

a40  = 3 * 5497559  =16492677 >>>>>

The Value of (441)2 – (440)2 is :

(i) 841 (ii) 1 (iii) 881 (iv) 0

Answers

The answer is (iii) 881.

Explanation:

(441)² - (440)²

= (441+440)(441-400)

= (1)(881)

= 1 • 881

= 881

April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?

Answers

Answer:

$40.55

Step-by-step explanation:

Algebraic Expression
x + y + 2
Constants | Variable/s/term/s Degree of term​

Answers

Constants : 1 (the only constant term is 2)

Variables : 2 (x and y)

Terms : 3 ( x, y and 2)

Degree of term : 1

geometry multiple choice question HELPPP!!!??

Answers

Answer:

24/30

Step-by-step explanation:

What is a equivalent expression to this expression?c(4a+b)

Answers

Answer: I think the answer is 4ca + cb

Answer:

The answer is 4ac+bc u have to multiply

Can someone help me with this problem? 3[x(-6)]

Answers

Answer:

-18x

Step-by-step explanation:

First step: remove the parentheses.

So, you'll have -3x*6.

multiply the numbers (3 x 6 = 18)

and you'll get -18x.

hope this helps!

-8-8(6x+1) i can’t solve this

Answers

Answer:

Step-by-step explanation:

Answer: -48x-16

Step-by-step explanation:

-8-8(6x+1)

So we are going to let the first -8 stand still for a moment and focus on the "-8(6x+1) part. We will solve this using distributive property.

-8 x 6x = -48x

and

-8 x 1 = -8

This is our new problem -8 -48x -8 .

Lets do like terms. Our like terms are (-8) and (-8). And we know -8 -8 = -16.

Now we'll add that to our (-48x) . I hope you can understand this!

1. f(x) = x3 - 3x2 - 8x - 60

Answers

Answer:

x = -2

Step-by-step explanation:

hope that helps :)

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:

49x^2 -_x + 16

Can someone help with the missing number

Answers

Step-by-step explanation:

I'm guessing this is competing the perfect square

so it's 56

Answer:

Step-by-step explanation:

4x² + 28x + 49

4x² + 14x + 14x + 49

2x(2x) + 2x(7) + 7(2x) + 7(7)

2x(2x + 7) + 7(2x + 7)

(2x + 7)(2x + 7)

(2x + 7)²

= 28

The graph of a linear function is often a parabola.
True or False

Answers

False




.......
.........

A linear function has a graph as a straight line so the given statement is False.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear function is given by

y = mx + c where m is the slope and constant.

Since it is constant it means it should be a straight line in coordinate geometry.

Therefore a linear function always makes a straight line, not a parabola.

Hence "A linear function has a graph as a straight line so the given statement is False".

For more about the linear function,

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