the slope-intercept form of an equation is y = mx + b. rewrite the equation in terms of the slope m

Answers

Answer 1

Answer:

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

Step-by-step explanation:

We are given the equation:

[tex]y=mx+b[/tex]

And we want to rewrite it in terms of m.

We can subtract b from both sides:

[tex]y-b=mx[/tex]

Finally, dividing both sides by x yields:

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

In conclusion:

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


Related Questions

Seven less than eight times a number is equal to 25

Answers

Answer:

4

Step-by-step explanation:

let the number=x

8x-7=25

8x=25+7

8x=32

x=32/8=4

2y^2-8=6-2y^2
can someone help​

Answers

here is the answer for the problem

|5-2(9)|+9^2/3
algebra 2 question

Answers

|5-18|+27
13+27
=40 !!!
Start by multiplying the 2 to the (9) and you get 18 so now you have |5 - 18| +9^2/3, subtract the 5 from the 18 and you get |-13| and the absolute value of that is 13 so you have 13+9^2/3, so turn the ^2/3 into a decimal then you should have 9^0.667 (the 6 is repeating) and that should leave you with 4.327 and add 13 to that and you have 17.327. I hope this helps ^_^

4 1/2 minutes for 6 laps

Answers

Answer: 0.75 minutes per lap

Explanation:

cube root 343 ^-3/ root 4 81

Answers

Answer:

[tex]$\frac{1}{1029} $[/tex]

Step-by-step explanation:

[tex]$\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $[/tex]

[tex]$\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $[/tex]

[tex]$\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{1 }{343} }{3} $[/tex]

[tex]$\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $[/tex]

[tex]$\frac{1}{1029} $[/tex]

What is the y-value when x = 0 in the function below? y=x+2

Answers

Answer:

y=2

Step-by-step explanation:

y=0+2

y=2

Evaluate the expression:

(1/3)⁴ = ?​

Answers

Answer:

1/81

Step-by-step explanation:

First, square 1/3 that gets you, 1/9, multiply by 3 again to get 1/27, again to get 1/81

can someone help me please T^T ill give Points! please, it needs to written top to bottom HELPPPPPPPPP

Answers

Answer:

6+36-4=38/2=19

Answer is 19 for number 1

Step-by-step explanation:

I have a secret number (x). Seven more than quadruple my number equals -5. What is

my number?

Answers

Answer:

Your number is 0.5, 2/4, or 1/2

Step-by-step explanation:

You need to set up your equation and then solve for x. We know that quadruple your number (x) plus 7 equals -5. Quadruple your number is the same as multiplying by 4. So it would be 4x + 7 = -5. We add seven to both sides and that would leave us with 4x = 2. Then we divide both sides by 4 to get x on it's own. x = 2/4 or 1/2

Can someone help me with this? I have no clue whats going on-

Answers

Answer:

2909

Step-by-step explanation:

Answer:

So the answer for your question is Sarah is correct because square root 2 is irrational:)

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers.

√  means square root. Square root means a number which produces a specified quantity when multiplied by itself. SO for example 7 is a square root of 49...

Example of another irrational and rational number: 74 is rational. Irrational number would be  3.14:)

Hope this helped...yeah I wrote a lot of stuff, I hope you understand it;)

9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 11, and KJ = 28, find LJ.

Answers

Answer:

[tex] LJ = 46 [/tex]

Step-by-step explanation:

Given:

[tex] LK = MK [/tex]

[tex] LK = 7x - 10 [/tex]

[tex] KN = x + 3 [/tex]

[tex] MN = 9x - 11 [/tex]

[tex] KJ = 28 [/tex]

Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

[tex] MK + KN = MN [/tex] (segment addition postulate)

[tex] MK = MN - KN [/tex] (Subtract KN from each side)

[tex] MK = (9x - 11) - (x + 3) [/tex] (subtitution)

[tex] MK = 9x - 11 - x - 3 [/tex]

[tex] MK = 9x - x - 11 - 3 [/tex]

[tex] MK = 8x - 14 [/tex]

LK = MK, therefore,

[tex] 7x - 10 = 8x - 14 [/tex]

Subtract 8x from each side

[tex] 7x - 10 - 8x = 8x - 14 - 8x [/tex]

[tex] -x - 10 = -14 [/tex]

Add 10 to both sides of the equation

[tex] -x - 10 + 10 = -14 + 10 [/tex]

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

Divide both sides by -1

[tex] x = 4 [/tex]

Step 2: Find LJ

[tex] LJ = LK + KJ [/tex] (segment addition postulate)

[tex] LJ = (7x - 10) + (28) [/tex]

Plug in the value of x

[tex] LJ = 7(4) - 10 + 28 [/tex]

[tex] LJ = 28 - 10 + 28 [/tex]

[tex] LJ = 46 [/tex]

EASY MATH GOOD POINTS

Answers

Answer:

t = (D/C - 1) (100/r)

Step-by-step explanation:

D = C(1+rt/100)

D/C = 1 + rt/100

D/C - 1 = rt/100

D/C - 1 = t (r/100)

Therfore,

t = (D/C - 1) / r/100

Therefore the last option is correct.

PLEASE MARK MY ANSWER AS BRAINLIEST!!!!!

Answer: t = (D/C - 1) / r/100

Step-by-step explanation:

Evaluate: 12+(-16)+24-18

Answers

Answer:

2.

Step-by-step explanation:

12 + (-16) + 24 - 18

= 36 - 34

= 2.

The value of the expression 12+(-16)+24-18 is 2, which can be computed using the commutative property.

What is the commutative property?

The commutative property signifies that the order of terms in mathematical expressions does not matters. It applies only to addition and multiplication operations, and not to subtraction and division operations.

How to solve the given question?

In the question, we are asked to evaluate: 12 + (-16) + 24 - 18.

By using the commutative property, we can write the expression

12 + (-16) + 24 - 18, as

= 12 + 24 + (-16) - 18

= 12 + 24 -16 - 18

= 36 - 34

= 2

∴ The value of the expression 12+(-16)+24-18 is 2, which can be computed using the commutative property.

Learn more about the commutative property at

https://brainly.com/question/778086

#SPJ2

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

Answers

Answer:

answer is 2x+y = 20

Step-by-step explanation:

I did the test

The equation of a line with a slope of –2 that passes through the point (6, 8) will be 2x + y = 20.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope is -2. Then the equation of line will be

y = –2x + c

The line is passing through (6, 8), then we have

8 = –2(6) + c

8 = –12 + c

c = 8 + 12

c = 20

Then the equation of line will be

       y = –2x + 20

2x + y = 20

The equation of a line with a slope of –2 that passes through the point (6, 8) will be 2x + y = 20.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ2

I’m confused and I just need a little help understanding

Answers

Answer:

3,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The term "about the origin" means that the origin is "the center of rotation".

Our coordinate right now is (3, 2).

90 degrees clockwise means we need to rotate to the left by 90 degrees. So if you rotate your image:

We now get (2, 3).

(I had some trouble reading the numbers, I'm reading them as (1, 2, 3, 4, 5,) for the X and Y axis, I hope I read them right.)

What is the answer ?

Answers

Answer:

C. QRT and TRQ

I need help please can someone help me find each area thank you

Answers

Answer:

it is easy use the formula of triangle which is 1/2(base × height) and base is the side where the height touches and height means the perpendicular line.

And in some cases there may be the use of pythagoras theorem

Answer:

1/2 (9)3.1 = 13.95

1/2 (6)5.5 = 16.5

1/2 (12)4.4 = 26.4

1/2 (4)6.7 = 13.4

The table below shows the amount that must be repaid, y, when x dollars are borrowed. Amount Borrowed Amount Repaid $100 $135 $200 $260 $500 $635 $800 $1,010 Which equation represents the relationship? y = StartFraction 5 Over 4 EndFraction x y = StartFraction 4 Over 5 EndFraction x y = StartFraction 5 Over 4 EndFraction x + 10 y = StartFraction 4 Over 5 EndFraction x + 55 Mark this and return

Answers

Answer: it’s c.) y= 5/4x +10

Step-by-step explanation:i took the quiz:)

Answer:

its c

Step-by-step explanation:

i just took the quiz

Which of the following expressions represents the distance between 3/4 and 2?

Answers

Answer:

It's A :)hope this helped.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: Khan Academy

which number produces an irrational answer when added to 3/4

Answers

Answer

pi.

Step-by-step explanation:

If you add pi (3.14) to 3/4, you will get an irrational answer.

What is the minimum perimeter of a rectangle that has an area of 625 square feet?

Answers

Answer:

100 feet.

Step-by-step explanation:

The minimum perimeter of a rectangle with fixed area is always a square.

Length of square = √625 = 25.

Perimeter of square = 4 * 25 = 100 feet.

PLEASE HELP!!! Select all the equations that represent the distance formula.

Answers

Answer:

A is the answer

Step-by-step explanation:

Help please urgent!!!!!
A box is 2m long, 30 cm high and 40 cm wide. What is the volume of the box in cubic centimeters?

Answers

Answer:

240000 cm^3

Step-by-step explanation:

For this problem, we need to know that 1 meter is equivalent to 100 centimeters.  With this in mind, we can use the equation:

Volume = Length x Width x Height

Volume = 200cm x 40cm x 30cm

Volume = 240000 cm^3

Cheers.

509 to nearest hundreds​

Answers

509 rounded to the nearest hundred would be 500

Answer:

509 rounded to the nearest hundred is:

500

Step-by-step explanation:

When rounding to the nearest hundred, like we did with 509 above, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

Rounded to Nearest Hundred

Enter another number below to round it to the nearest hundred.

What is 510 rounded to the nearest hundred?

Now you know what 509 rounded to the nearest hundred is. Go here for the next number we rounded.

 

12 - 3x = -6x
I’m confused on how to solve for X if they are on both sides

Answers

Answer:

x =-4

Step-by-step explanation:

[tex]12 - 3x = -6x[/tex]

Step 1 ; Collect like terms . (put the numbers with variables on one side of the equation and ordinary numbers on the other side )

[tex]12 =-6x+3x[/tex]

Note ; When a number is crossing over an equality sign ; the sign will always change

Step 2 ;

Simplify

[tex]-6x +3x =-3x\\\\ 12=-3x[/tex]

Step 3 ; Divide both sides of the equation by -3

[tex]\frac{12}{-3} = \frac{-3x}{-3} \\\\-4 = x[/tex]

Switch sides

[tex]x =-4[/tex]

sqrt(x+7) -1=x


yo what

Answers

Hi

[tex]\sqrt{(x+7)[/tex]   -1 = X

Let's square the whole thing  

so we have :    x+7 +1 = x²

                         x² +x+7 +1 = 0

                         x²+x+8 = 0

       

no easy way to see a common factor so, let 's resolve by using discriminate.  

Δ = 1-4*1*8

Δ = 1 -32

Δ = -31

as Δ  ≤ 0 , there is no Real answer to your equation  

however , if you need we can find imaginary solutions. Just ask in commentaries

Answer:

its 2

Step-by-step explanation:

The wheels on Noah's bike has a circumference of about 5 ft. How many times do the wheels rotate if Noah rides 40 feet?

Answers

Answer:

8

Step-by-step explanation:

circumference of about 5 ft means perimeter of 5 ft.

every full circle the wheel rotates it goes 5 ft

So 40 ft divided by 5 ft is 8

8 rotates

Answer:

8

Step-by-step explanation:

4.63 repeated in simplest form ( please reply quickly)

Answers

Answer:

4.63 as simplified fraction is

463/100

Step-by-step explanation:

4.63 as a fraction in simplest form

To convert 4.63 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

4.63/1

As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator

4.63 × 100

   1 × 100

=

463/100

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:

4 63/100

Tavon has a gift card for $115 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $95 that loses $2 for each​ 30-day period it is not used.

Answers

The question is incomplete:

Tavon has a gift card for $115 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $95 that loses $2 for each​ 30-day period it is not used.

Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.

Answer:

115-2.5x=95-2x

The value of the gift cards will be equal after 40 30-day periods.

Step-by-step explanation:

From the information given, you can write the following equation:

115-2.5x=95-2x, where x is the number of 30-day periods the gift card is not used.

Now, you can solve for x:

115-95=-2x+2.5x

20=0.5x

x=20/0.5

x=40

According to this, the answer is that the value of the gift cards will be equal after 40 30-day periods.

What is the perimeter of the rectangle

Answers

Answer:

probably the first one 4x+6

Answer

4x square + 3

Step-by-step explanation:

Perimeter of a Rectangle = 2(l * b)

= 2*(2x+3 * x)

=2*(2x*x+3)

=2*(2x squared * + 3)

2*2x squared + 3

=4x square + 3

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