can any equation in point-slope form also be written in slope-intercept form?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

The way the equation is written in point-slope form is:

[tex]y-y1=m(x-x1)[/tex]

The way we write an equation in slope-intercept form is:

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

We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:

[tex]y=mx-(m*x+y1)[/tex] where [tex](m*x+y1) = b[/tex]

which is now in slope intercept form.


Related Questions

proves that the sum of
5 consecutive natural numbers is divisible by 5 ​

Answers

Answer:

n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.

Step-by-step explanation:

Answer:

Natural numbers are simply positive integers.  For now, refer to the middle number (the third number), as x.  Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2.  Simply add all these numbers to get 5x, a number that is divisible by 5.  As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.

Hope it helps :) and let me know if you want me to elaborate.

50 POINTS PLZ HELP What is the common denominator (LCD) of 6 5/7 and 6 1/3?

Answers

Answer:

21

Step-by-step explanation:

Denominators of the fractions are 7 and 3, which are mutually prime numbers.

The LCD is the product of 7 and 3:

7*3 = 21

Simplify into mixed fraction

[tex]\\ \sf\longmapsto 6\dfrac{5}{7}=\dfrac{47}{7}[/tex]

[tex]\\ \sf\longmapsto 6\dfrac{1}{3}=\dfrac{19}{3}[/tex]

Find LCD

[tex]\\ \sf\longmapsto 7(3)[/tex]

[tex]\\ \sf\longmapsto 21[/tex]

Is the expression a polynomial? If yes, write in standardform, if not state why not
1.
[tex]\frac{2x+3}{x^{2} }[/tex]

2.
[tex]2x+5x^{2} -99[/tex]

3.
[tex](\sqrt{8x^{3}}) +2x^{4}+2+x[/tex]

4.
[tex]15x+4x^{-2}[/tex]

5.
[tex]-3x^{4} +7x+12x^{2}[/tex]

Answers

Answer:

Step-by-step explanation:

1) Not a polynomial. Because x² is in the denominator.

2) Yes, it is a polynomial.

Standard form: 5x² + 2x - 99

3) Not a polynomial.

[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .

Power of x is a fraction. so , it is not a polynomial.

4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.

5) Yes:

Standard form: -3x⁴ + 12x² + 7x

The difference between 1/3 of a certain number and 1/4 of the same number is 3. what is that number?

Answers

Answer:

36

Step-by-step explanation:

(1/3)x - (1/4)x = 3

multiply by 12 to clear the fraction

4x - 3x = 36

x = 36

What's the answer ??

Answers

Answer:if one part is bigger than the other then its bigger

this should help

Answer:

(8 × 3) + (8×2)

Step-by-step explanation:

Stephan is having a fundraising and decides to sell some candy. He bought the box for $20, and
charges $0.50 per candy that he sells. How many does he need to sell in order to make a profit?

Answers

Answer: he would need to sell at least 41 candies to make a profit

Write the expression as a power and evaluate it. 8*2^7

Answers

Answer:

1024

Step-by-step explanation:

The expression can be written as [tex]8 * 2^7[/tex]

What is power?

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

Example: The standard form of the polynomial 5 + 2x + x² is expressed.

We shall first determine the polynomial's degree before expressing it in standard form.

The degree of the provided polynomial is two. Write the phrase containing the polynomial's degree.

Given:

8*2^7

The above expression can be written as

[tex]=8 * 2^7[/tex]

= 8 x 128

= 1024.

Hence, the expression can be written as [tex]8 * 2^7[/tex]

Learn more about power here:

https://brainly.com/question/2289248

#SPJ2

What is the equation of the line in point slope form given a slope of -12 and a point of (-4,
-5)?

Answers

Answer:

The equation of a line in point-slope form is y-Y1=m(x-X1). ”m” is the slope and (X1,Y1) is a point.

So, the equation in point-slope form is y+5=12(x+4).

:)

i need to know which object is moving faster

Answers

Answer:

B

Step-by-step explanation:

It has a not as steep incline

Write the slope-intercept form of the equation of the line described.
Through: (5, 4), parallel to y = x-5

Answers

Answer:  y = x - 1

Step-by-step explanation:

Find the slope of the parallel line

When two lines are parallel, they have the same slope.

                ⇒  if the slope of this line = 1

                     then the slope of the parallel line (m) = 1

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  (5, 4)  

                              ⇒  y - 4 = 1 (x - 5)                                

                                ∴  y - 4  = x - 5

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                     since    y - 4 = x - 5

                                 y = x - 1

To test my answer, I drew a Desmos Graph with the information provided in the question and my answer.                        

I basically just have to find the angles but I also want to understand so if you could explain?

Answers

9514 1404 393

Answer:

  c = 108°

  d = 106°

Step-by-step explanation:

There are 2 basic rules involved here. From them, a number of others can be derived in order to simplify some calculations.

angles forming a linear pair are supplementary (total 180°)interior angles of a triangle total 180°

The derived relations we can use in this problem are ...

vertical angles are congruentan exterior angle of a triangle is equal to the sum of the opposite interior angles

__

c

The vertical angle to 78° is one of two remote interior angles with respect to exterior angle c. The other is the one marked 30°. That means ...

  c = 78° +30* = 108°

__

d

Angles d and 30° are two of the three angles in the largest triangle. The third is the vertical angle to 44°, so it is 44°. The sum of angles in that triangle is 180°:

  d + 30° +44° = 180°

  d = 180° -74° = 106°




The corporate team-building event will cost $16 if it has 4 attendees. If there are

5 attendees, how much will the corporate team-building event cost? Solve using

unit rates.

Answers

Answer:  $20

Step-by-step explanation:

We will assume that there is a per-person cost:

$16/4 attendees = $4/attendee

($4/attendee)*5 attendees = $20

Lucy spent $3.19 on a sparkly headband and $2.67 on a shiny bracelet. How much more did Lucy spend on the sparkly headband?

Answers

Answer:

$0.52

Step-by-step explanation:

3.19 (headband) - 2.67 (bracelet) = 0.52

Lucy spent 52 cents more on the sparkly headband than the shiny bracelet.

To find the answer, you would subtract the amount of the sparkly headband with the amount of the shiny bracelet, which would leave you with a sum of 0.52 cents.

3.19-$2.67=0.52

5trig review please help me

Answers

Answer:

Is A

Step-by-step explanation:

Answer:

4).3√42ft

5).√3 yd

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

PLS HELP QUESTION 8 ASAP ILL GIVE BRAINLIEST

Answers

Answer:

Ryan sold 12 cell phones

Step-by-step explanation:

2000+15x12

Dr Michael prescribes 300mg a day of medicine to a patient. Each pill has 15mg of medicine. How many pills will the patient need for

Answers

Answer:

20

Step-by-step explanation:

15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.

A company manufactures plastic bags. If each month it sells 518 plastic bags for ​$0.05 per bag, how much money could the company make in a year?
Will give brainlessly if correct

Answers

Answer:

$310.8 khoydoydydyiivkfi

Guven O centre of the circle, find x

I just want to check my answers. my answer is x= 24.5⁰
If it is wrong is tell me in the comments.
and if you know the right answer, please answer the question with full explanations.
thanks.

Answers

Answer:

x= 21 is correct answer because x and 21° are opposite angles and opposite angles are congruent

Answer:

21 degrees

Step-by-step explanation:

Angle subtended by the arc is half the angle at the centre of the circle(98 degrees).

help me pls help please???

Answers

Answer:

3 – x

Step-by-step explanation:

A number in this case we will as x. And 3 less than x is -

3 – x

x - 3

Hope i helped ya!

i= $100.10
p= $1100
r= 10.0%
t= ? years

Answers

Step-by-step explanation:

1 year

thabkyou for brainly

help me pls tell methe answer

Answers

x/3

Hope this helped uou, have a good day bro cya)

which pair of terms are not like terms?
A. 4a and 7a
B. 3p^2q and -p^2q
C. 2mn and mn^2
D. -x and 3x

Answers

Answer:

C.

Step-by-step explanation:

Like terms must have exactly the same variables and exactly the same exponents.

In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.

Answer: C.

True or false: This system of equations has no solution.
y=4/32x+2 y=2/16x-1

Answers

True

as they are parallel, and they have different y-intercepts; they will never cross.

Thus, no solution exists

Divide. Give the quotient and remainder. 47 ÷ 5​

Answers

Answer:

9 Remainder 2 which is also 9.4

Step-by-step explanation:

The closest to a full number would be 9. So do 9*5 to get 45. With a remainder of 2.

Brainliest maybe? I need one more and I level up in rankings.

Answer:

9 remainder 2.

Step-by-step explanation:

5 * 9 = 45

47 - 45 = 2.

Given: F(x)= 2x - 1; G(x)= 3x + 2; H(x)= x^2
Find F(x) + G(x) + H(x)

Answers

Answer:

4

Step-by-step explanation:

Answer: 6x^2+1

(very sorry if this is wrong lol)

Step-by-step explanation:

Substitute all the given numbers into the equation, by doing so this should give you 2x-1+3x+2+x^2.

Since we have a group of x’s add them together, which would make 6x^2, this leaves our -1 and +2 add these these two numbers together to make plus one and finally you will have 6x^2+1

i have no clue how to do this n it’s in f tmrw pls help lol

Answers

Area = w × h

w = width

h = height

helpppppppppppppppppppp

Answers

Answer:

2nd option

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here a = - 1 < 0 then maximum

The maximum value is the value of the y- coordinate of the vertex

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

Here a = - 1 and b = 3 , then

x = - [tex]\frac{3}{-2}[/tex] = [tex]\frac{3}{2}[/tex]

Substitute this value into the equation for corresponding y- value

y = - ([tex]\frac{3}{2}[/tex] )² + 3([tex]\frac{3}{2}[/tex] ) - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{9}{2}[/tex] - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{18}{4}[/tex] - [tex]\frac{4}{4}[/tex] = [tex]\frac{5}{4}[/tex]

Then maximum value of [tex]\frac{5}{4}[/tex]

Please explained that answer!

Answers

Answer:

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

Step-by-step explanation:

The slope is negative because the graph goes up then to the left, making it negative. The slope is also 1 half because the slope is measured by rise over run. It rises once, then goes to the left twice. 1/2. It's also plus 1 because the graph cross the y-intercept at positive 1.

Distributing the - sign outside the parentheses -(6y-9.6z+3)

Answers

Answer:−6y+9.6z−3

Step-by-step explanation:−(6y−9.6z+3)

−6y+9.6z−3

I'll give Brainliest and 45 points: A box of cooked whole wheat spaghetti contains 8 servings and has 28 grams of fiber.
How much fiber per serving does the spaghetti have?

Answers

Answer:

3.5 grams

Step-by-step explanation:

8/8=1, 28/8=3.5

3.5 grams per serving

3.5 and/or 3/5 grams of fiber.


28 / 8 = 3.5
(Divided by)
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