The points (-1, 4) and (2, 9) lie on a line.
What is the slope of the line?

Answers

Answer 1

Answer:

[tex]\displaystyle m = \frac{5}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

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

Identify

Point (-1, 4)

Point (2, 9)

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{9 - 4}{2 + 1}[/tex][Order of Operations] Simplify:                                                                        [tex]\displaystyle m = \frac{5}{3}[/tex]

Related Questions

You need 1 1/4 cups of sugar to make 20 cookies. To make 16 cookies you will need how much sugar?

Answers

Answer:

You need 1 cup of sugar.

Step-by-step explanation:

16/20 = 4/5

1 1/4 = 5/4

5/4 x 4/5 = 1

You need 1 cup of sugar.

he population of a particular town is given by the function P(t) = 1,200(1.05)2t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) in 7 years?

Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t (4 points)

1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376

Answers

Answer:

Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t

1,200, 5% annually, and 1,689

1,200, 50% semiannually, and 20,503

1,200, 10.5% per year, and 2,414

1,200, 5% semiannually, and 2,376

PLease help middle school math 40 points

Answers

Answer:

b

Step-by-step explanation:

2/5 * 2x = 4/5

2/5 * 3 = 6/5 = 1 1/5

Answer:

B.

Step-by-step explanation:

Using the distributive property (multiplying 2/5 to both 2x and 3) we can get the answer 4/5x + 1 1/5.

I hope this helps :)

59 oz = ____ lb ______oz
Explain yourselves

Answers

Answer:

3 lb 11 oz

Step-by-step explanation:

Divide 59 by 16

Answer:

3 pound and 11oz

Step-by-step explanation:

hop3 this helps

Find the 6th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.

Answers

Step-by-step explanation:

geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).

s1 = 5

s2 = s1 × 1/3 = 5 × 1/3

s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9

sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)

s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243

A business valued at $96 000 is purchased for a down payment of 25% and payments of $4000 at the end of every three months. If interest is 9% compounded monthly,
what is the size of the final payment?
Write your answer as 2,569.43.

Answers

Size of final payment is $6392.43

Given that formula for compound interest is P(1+r/n[tex])^{nt}[/tex]

where P is initial principal

r is interest rate

n is compound times per period

t is time in years

We find all the variables in the formula in order to get our answer.

Initial principal = 96000 less 25%= 72000

interest rate = 9%

number of compound times= 12

time in years =4.25 years (whole period is 4.5 years since number of payments to complete balance will take 54 months)

Hence principal and CI after 4 years and 3 months(the second to last payment)

72000(1+0.09/12)^12x4.25=$105,393.6

We use $105,393.6 as our principal to calculate the whole interest and principal for the period in order to find last payment

105393.6(1+0.09/12)^12x0.25=$107,786.03

interest for the final month = $107786.03-$105,393.6=$2392.43

To get our final payment, we add the principal payment of $4000 to final compounded interest =$6392.43

Can someone help me with this problem?

Answers

Answer:

  16.6 ft^2

Step-by-step explanation:

1 foot = 0.3048 meter

  1.54 m^2 = (1.54 m^2)·(1 ft/(0.3048 m))^2 = 1.54/0.3048^2 ft^2

  ≈ 16.6 ft^2

_____

Additional comment

The idea in units conversion is to multiply by a fraction whose value is 1 (because the numerator and denominator are the same amount), but whose units cancel the ones you don't want and give you the ones you do want.

Here, our conversion factor has m^2 in the denominator and ft^2 in the numerator, so it cancels m^2 in the given number and gives a result in ft^2.

Determine whether the relation, {(-8, -6), (-5, 2), (-8, 1), (7, 3)}, is a function and justify your answer.

Answers

Answer:

5

Step-by-step explanation:

7(x+7)≤56 plz help im bad at math

Answers

Answer:x[tex]\geq[/tex]1

Step-by-step explanation:

remove the brackets

7x+49≤56

collect like terms

7x≤56-49

7x[tex]\geq[/tex]7

divide both sides by 7

x[tex]\geq[/tex]1

Give an example of an equation whose solution is 5

Answers

Answer:

x - 5 = 0

Step-by-step explanation:

x - 5 = 0

Add 5 on both sides,

x - 5 + 5 = 0 + 5

x = 5

The equation whose solution is 5,

" x - 5 = 0 "

Answer:

x-5=0 right answer

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The price of gas goes up to $3.24 per gallon after a 9.4% increase. What was the price before the increase?

Answers

Answer:

i think this correct

Step-by-step explanation:

3.24=(1+9.4/100) x

then x= 2.961 $

whats the answer can someone answer please​

Answers

Answer:

8. b

9. d

Step-by-step explanation:

An adult elephant eats about 300 pounds of food each day. Write an
expression to represent the number of pounds of food a herd of
12 elephants eat in/5 days.

Answers

Answer:

18000

Step-by-step explanation:

you multiply 12 by 300 which is 3600 then you would multiply by 5 and its 18000.

15-3x when x = to -2

Answers

Answer:

21 is the answer

Step-by-step explanation:

Given:

x = -2

Let's use the given clue to solve the problem.

15 - 3x = Solution

=> 15 - 3(-2) = Solution

=> 15 + 6 = Solution

=> 21 = Solution

After working on this problem, we can conclude that 21 is our answer.

- [tex]GenuisUser[/tex] -

Answer:

21

Step-by-step explanation:

So, when given a question like this, we must plug in the number give for "x" in the equation.

[tex]15-3x = 15-3(-2)[/tex]

Now, we can simplify using PEMDAS

[tex]15+6 = 21[/tex]

Dont forget that a negative times a negative equals a positive!

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:

cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.

Solve for s to rewrite the equation for total sales.

Question 1 options:

s = c(w + rh)

s = c(w − rh)

s = w + rh/c

s = w − rh/c

Answers

The value of "s" as a function of other  variables is s =  (w - rh)/c

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:

cs + rh = w

We will make "s" the subject of the formula:

Subtract rh from both sides

cs + rh - rh = w - rh

cs = w - rh

Divide both sides by c

cs/c = (w - rh)/c

s =  (w - rh)/c

Hence the value of "s" as a function of other  variables is s =  (w - rh)/c

Learn more here: https://brainly.com/question/21406377

A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?

Answers

50 x 30 x 20 = 30000 cm cubed
There are 1000 cm cubes in one litre
30000/1000 = 30 litres
So 300 x 30
9000 taka

Answer:

Step-by-step explanation:

The volume of the tank= (50x30X20) cm^3

                                       = 30000cm^3

                                       = 30 l

1 l costs 300 tk

therefore 30 l costs= 30X300 taka

                                = 90000 taka

John has $50 he spent 1/5 of it on a book and 1/10 on a flashlight how much money did he have left​

Answers

He has 35 dollars left

may's dog weighed 16kg. the dog lost 800g after it fell ill.

Answers

Answer:

15200g

Step-by-step explanation:

Hope the Dog gets better XD

Answer: 15,200

Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200

what is a teachers most favorite tree

Answers

apricot tree im pretty sure

NEED HELP ASAP (WILL GIVD BRAINELST)

Answers

Answer:

5

Step-by-step explanation:

The answer is 60/12 becuase we can simfly both of theese mixed numbers into an improper fraction, wich will be 4/3*15/4. We do the multiplication, and we get 60/12. 60/12 can be simplifed to 5 becuase 60 divided by 12 is 5

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet

Answers

Answer:

Step-by-step explanation:

Let the other leg = x

x^2 + 4^2 = (3x)^2

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2

How do I point 11,7 on the coordinate plane

Answers

Answer: Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps

Step-by-step explanation: Identity the variable range .

Determine the scale of the graph.

Number and label each axis and title of the graph.

Show the positive and negative x-axis and y-axis

First , find the value of x on the x-axis . give x = 11 .

Find the value  of y on the y-axis . given y = 7.

Mark the point x=11 in the positive x - axis

Mark the point y=7 in the positive y - axis,.

After this meet the points by the help of scale and write the co-ordinates.

For more details about graph plot click the link given below.

https://brainly.in/question/10164601

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form .

So, first, we need to plot 11 on the -axis (the line going left to right, horizontal) then plot 7 on the -axis (the vertical line)

So we first go 11 units to the right along the -axis then go up 7 units along the -axis.

Hope this helped.

ANALYZE The table below shows the values of a cubic function. Could there be a zero between
x= 2 and x = 3? Justify your argument.
ONLY QUESTION 30

Answers

Answer:

  No; no sign change of g(x) in that interval

Step-by-step explanation:

The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.

There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].

_____

Additional comments

We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].

__

First differences of the table values are ...

  -5, +1, +2, -3, 0

Second differences are ...

  6, 1, -5, 3

Third differences are ...

  -5, -6, +8

This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...

  g(x) = -5/6x^3 +1/2x^2 +7/3x -1

You may want to discuss this question with your teacher.

Please Help, i am stuck on this question......

Answers

C because if you want to get it right look at a

Write a linear function f with the values f(−1)=8 and f(5)=6.

A function is f(x)=

Answers

9514 1404 393

Answer:

  f(x) = -1/3x +23/3

Step-by-step explanation:

You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:

  f(x) = -1/3x +23/3

__

Approaching this in the usual way, we recognize we have points ...

  (-1, 8) and (5, 6)

The slope of the line through those points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (6 -8)/(5 -(-1)) = -2/6 = -1/3

Then the point-slope equation of the line is ...

  y - 8 = -1/3(x +1)

Adding 8 gives us a form we can use for a function definition:

  f(x) = -1/3(x +1) +8

  f(x) = -1/3x +7 2/3

factor by grouping x^3 − 4x ^2 + 6x − 24

Answers

Answer:

[tex](x-4)(x^2+6)[/tex]

Step-by-step explanation:

x³-4x²+6x-24 is our equation

Once we factor it we get

[tex](x-4)(x^2+6)[/tex]

Operations
Five football players ate
15/17
of a lasagna. The 5 players ate equal
amounts. How much of the lasagna did each player eat?

Answers

Answer:

3

Step-by-step explanation: because 15 divided by 5 equals 3

Original Price of a computer $2,600.00 Tax:6.4%

Answers

Answer:

The Sales Tax total would be $166.40
Add that with the original price,

Total Price is 2766.40

you’ll live 100 more years if you help me answer 1 through 5 :D!!!

Answers

Answer:

You need to give me a thanks and brainliest: 1. = 16 ; 2. = 100 ; 3. = 64; 4. = 604; 5. Cant see the problem in the screen shot.

Step-by-step explanation:

Solve for x:
Spam: WHSIYWsugwediywedw

Answers

Answer:

um whats m or y?

Step-by-step explanation:

Answer:

[tex]x=3m+y[/tex]

Step-by-step explanation:

Let's solve for [tex]x[/tex].

[tex]m=\frac{x-y}{3}[/tex]

Step 1: Flip the equation.

[tex]\frac{1}{3}x+\frac{-1}{3}y=m[/tex]

Step 2: Add [tex]\frac{1}{3}y[/tex] to both sides.

[tex]\frac{1}{3}x+\frac{-1}{3}y+\frac{1}{3}y=m+\frac{1}{3}y[/tex]

[tex]\frac{1}{3}x=m+\frac{1}{3}y[/tex]

Step 3: Divide both sides by [tex]\frac{1}{3}[/tex].

[tex]\frac{\frac{1}{3}x }{\frac{1}{3} } ={\frac{m+\frac{1}{3}y }{\frac{1}{3} }[/tex]

[tex]x=3m+y[/tex]

Answer:

[tex]x=3m+y[/tex]

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