Point slope form and standard form

Answers

Answer 1

The point slope form, , is useful in situations involving slope and the location of one or more points. The standard form, , is usually easier to use when we need to make algebraic calculations. When needs or knowledge change, we can convert an equation from one form into another.

Answer 2
The slope-intercept form (not asked for) is the y=mx+b form, where m is the slope and b is the y-value of the y-intercept (0,b).
This form only works if you have both the slope and y-intercept.

If you have the slope and some other point on the line, say (x1, y1), then the point slope form is:
y - y1 = m ( x - x1 )

So, if you have a slope of 7 and a point (2, -6), then your point-slope form would be:
y - (-6) = 7 ( x- 2) or y+6=7(x-2)

Now standard form is the Ax+By=C format. You can turn any slope-intercept equation or point-slope equation into that form by distributing everything out and getting the x’s and y’s to the left side. Often you’ll also make sure you don’t have any fractions.

Taking the last answer I had, y+6=7(x-2), I’d put this into standard form by distributing:
y+6=7(x-2)

y+6 = 7x - 14

Then move 7x to the left by subtracting and move 6 to the right by subtracting:

-7x + y = -20

Related Questions

Plz help!!!
Each liter of air has a mass of 1.80 grams. How many liters of air are contained in 2.5 x103 kg of air?

Answers

Answer:

kg = 1,000 grams

[2.5 x 10^3] x   1,000 =2.5 x 10^6 grams of air.

[2,5 x 10^6] / 1.8 =~ 1,388,889 Liters of air in 2.5 x 10^3 kg.

Step-by-step explanation:

There are 1.39 x 10⁶  liters of air contained in 2.5 x 10³ kg of air.

Given that  1 liter of air is 1.80 grams.

2.5 x 10³ kg = 2.5 x 10³ × 1000 grams (since 1 kg = 1000 grams)

Calculating the mass in grams:

2.5 x 10³ × 1000 grams = 2.5 x 10⁶ grams

Now, to find the number of liters of air, we divide the mass (in grams) by the mass of 1 liter of air:

Number of liters = Mass / Mass per liter

Number of liters = 2.5 x 10⁶ grams / 1.80 grams per liter

= 1.39 x 10⁶ liters

Therefore, there are approximately 1.39 x 10⁶  liters of air contained in 2.5 x 10³ kg of air.

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HELP!!!!!!!!!!!! TELL ME WHERE THE NUMBERS GO

Answers

Answer:

Do you have an image?

Step-by-step explanation:

Answer:

do u have the info? :0

Step-by-step explanation:

A 2-axle passenger vehicle with a SunPass drives
through the Orlando (1-4) Mile Post five times.
Determine the total amount of money that will be
deducted from this vehicle's SunPass account.

Answers

The amount of money to be deducted from the vehicle's SunPass account is $2.65

To obtain the total toll fee charged; we take the product of the toll fee at the Orlando (1 - 4) mile post and the Number of times the car passes through the toll post.

The discounted toll fee at Orlando(1 - 4) mile post is $0.53

Number of times vehicle passes = 5

Hence, The total fee charged will be :

($0.53 × 5) = $2.65

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please help me ! i'm going to fail if i don't answer

Answers

The answer is 49

Hope this helps *smiles*

15 - 4 Divided 1/4 + 2 =

Answers

Answer:

Step-by-step explanat15 - 4: 1/4 + 2 =

15 - 4 × 4 + 2 =

15 - 16 + 2 =

-1 + 2 =

1ion:

The value of the given expression will be 1.

What is an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given that, 15–4 Divided 1/4 + 2 =

Converting the statement into n mathematical expression, we get

15-4÷1/4+2

= 15-4×4+2

= 15-16+2

= -1+2

= 1

Hence, The value of the given expression will be 1.

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4k = 13.6?
PLZ help me! I need to find the value of k!

Answers

Answer:

k = 3.4

Step-by-step explanation:

4k = 13.6

Divide each side by 4

4k/4 = 13.6/4

k = 3.4

Multiply.
2
X8
=
CON

Answers

Answer:

4 2/3

Step-by-step explanation:

8/3 = 2 1/3

2 1/3 x 2 = 4 2/3

Which of the following types of angles are NOT congruent when two lines are parallel cut by a transversal?

A. Alternate interior angles
B. Vertical Angles
C. Corresponding Angles
D. Same-Side Interior Angles

Answers

Answer:

Step-by-step explanation:

C

Eva spent $48 on a shirt and a pair of pants. The pants cost twice as much as the shirt. How much did each item cost

Answers

Answer:

s=16, p = 32

s is shirt and p is pants.

s+p=48

since the cost of the shirt and the pants together is $48

p=2s

the cost of the pants was 2 times as much as the shirt.

substitute p in s+p=48

s+2s=48

3s=48

divide both sides by 3

s=16

The shirt costs 16.

now substitute 16 in for s in p=2s

p=2*16

p=32

Step-by-step explanation:

Tegan needs to make 68 more snow blocks to finish
building an igloo.

Write an equation for the number of blocks Tegan still

needs to make, m, when she has completed c blocks.

legan completes 33 blocks.
How many blocks does Tegan still need to make to
finish the igloo?
blocks

Answers

Answer:

m = 68 - c

Step-by-step explanation:

It is given that Tegan needs to make 68 more snow blocks to finish building an igloo.

Let m be the number of blocks Tegan still needs to make and c be the number of completed blocks.

If total number of required block is 68 and c blocks are completed then the remaining blocks is the difference between 68 and c.

Number of blocks Tegan still needs to make = 68 - c

We know that c represent the number of blocks Tegan still needs to make.

m = 68 - c

Therefore, the required equation is m = 68 - c.

Josh is the proud owner of an eclectic bow tie collection. He keeps track of how many bow ties he has, and organizes them by pattern and material.
Velvet Cotton
Zigzags 6 3
Swirls 3 3
What is the probability that a randomly selected bow tie is made of velvet given that the bow tie is designed with swirls?
Round to the nearest hundredth.

Answers

50%
Short Explanation:
Since we are given that the bowtie is designed with swirls, we can limit the possible choices only to the bowties with swirls (6) and since there are 3 bowties made of velvet out of those 6 we can conclude that 3/6 = 1/2 or 50%


Long Explanation:

P(A|B) = P(A and B)/ P(B)
P(A and B) is the probablity that a random bowtie is made of velvet multiplied by the probablilty that a random bowtie is designed with swirls.
This can be determined by taking the number of bowties with swirls made of velvet (3) and dividing that by the total number of bowties.
P(A and B) =(3/15)
P(B) is determined by the number of bowties with swirls divided by the total number of bowties
P(B) = 6/15
(3/15)/ (6/15) = 1/2 or 50%

The probability that a randomly selected bow tie is made of velvet gave that the bow tie is designed with swirls is 1/3

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given this, John keeps track of how many bow ties he has and organizes them by pattern and material.

               Velvet         Cotton

Zigzags      6                  3

Swirls         3                  3

There are a total of 9 bow ties with swirls, out of which 3 are made of velvet. So the probability of selecting a bow tie made of velvet, given that it has swirls, is:

P(Velvet | Swirls) = P(Velvet and Swirls) / P(Swirls)

P(Velvet and Swirls) is the number of bow ties that have both velvet and swirls, which is 3.

P(Swirls) is the total number of bow ties that have swirls,

which is 6 + 3 = 9.

So,

P(Velvet | Swirls) = 3/9 = 1/3

Therefore, the probability that a randomly selected bow tie is made of velvet gave that the bow tie is designed with swirls is 1/3 or approximately 0.33

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Find the radius of the two other circles

Answers

Answer:

We draw the circles on a coordinate system.  We know that a circle is has points that are equidistant from its centerpoint.   So the point where these circles are tangent is the midpoint between the centerpoints.

 We can use the midpoint formula.

 M = ((x1 + x2) / 2    ,      (y1 + y2) / 2)

 M = ((-2 + 6) / 2     ,    (3 + 9) / 2)

 M = (2, 6)

 These circles will have the same radii.

 If we take the distance between the midpoint and (-2,3), we will have the radius of the circle with this centerpoint.

If we take the distance between the midpoint and (6,9), we will have the radius of the circle with this centerpoint.

Step-by-step explanation:

The base angles of an isosceles triangle are
congruent. If the measure of each of the base
angles is twice the measure of the third angle,
find the measure of all three angles.

Answers

Answer:

base angles each measure 68 degrees

third angle measures 34 degrees

Step-by-step explanation:

let '2x' = measure of each base angle

let 'x' = measure of third angle

the sum of all three must equal 180 degrees so you can write this equation:

2x + 2x + x = 180

combine 'like terms' to get:

5x = 180

divide each side by 5 to get:

x = 34

therefore, twice 'x' is 68

check:

68 + 68 + 34 = 180

180 = 180

Solve for m
y - y₁ = m (x - x₁)

Answers

Answer:

m=[tex](y-y_{1}) /(x-x_{1})[/tex]

Step-by-step explanation:

divide the [tex]x-x_{1}[/tex] from the right side to isolate the m.

Find the lowest terms
fraction that's equal
to 0.875.

Answers

Answer:

3/8

Step-by-step explanation:

PLSSS HELP WILL MARK BRAINLIEST! (reflections)
Quadrilateral PQRS is located in the first quadrant of a coordinate plane. One of its vertices, P, is located at (1, 7). If the quadrilateral is reflected across the y-axis, what is the location of point P'?

(-7, 1)
(7, -1)
(1, -7)
(-1, 7)

Answers

Answer:

Option 4

Step-by-step explanation:

If we're reflecting across the y-axis, then the the y value of the point will remain the same.  The only option that displays this is option 4.

Ah, the power of multiple choice elimination.

4. Find the measure of x. Then find the measure of DE. Plzzz show work!

Answers

Answer:

more information on how much of that they have been doing a

The measure of x is 30 and the measure of DE is 60.

Find x:

x = 180 - 90 - 60 = 30

Find DE:

DE = 2x = 2 * 30 = 60

Therefore, the measure of x is 30 and the measure of DE is 60.

Here are the steps in detail:

Identify the angles in the diagram.

Find the measure of x using the fact that the angles in a triangle add up to 180 degrees.

Find the measure of DE using the fact that DE is twice the measure of x.

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$42.33 to the nearest 5 cents......

Answers

Answer:

$42.30

Step-by-step explanation:

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

Multiply: (2x -6)(x2 + 4x - 2)

Answers

Answer:

2[tex]x^{3}[/tex]+2[tex]x^{2}[/tex]-28x+12

Step-by-step explanation:

what the top person said is right lol hoped this helped:)

what is 5/8 divided by 3/4?

Answers

It is 20/24which you can reduce to 5/6

Which is another way to write 6-(-7)=13

Answers

6+7=13 is the another way to write ...

hope it is helpful.Thankyou!!!!

i need help please Algebra​

Answers

Answer:

the slope of graph 1 is 4 minutes

-4(2x + 1) = - 8x – 2

what is it?​

Answers

Answer:

No solution

Step-by-step explanation:

-4(2x + 1) = - 8x – 2,

-8x - 4 = -8x - 2,

-4 ≠ -2

There is no solution for this equation

Answer:

Unfortunately, there is NO ANSWER!

Step-by-step explanation:Step 1: Distribute

When you do this, you get: [tex]-8x-4=-8x-2[/tex].

Step 2: Add 8x to both sides.

When you do this, you get: [tex]-4=-2[/tex], which is not true, so there is NO ANSWER!

Side note:

It's really easy if you do these steps. If this happens, you always have 0 or 1 answer/result for the variable. Usually, you need to substitute to get the answer.

Determine whether the equation x + 4 = x-12 has one solution, no solution, or infinitely many solutions. The equation has​

Answers

Answer:

No solution.

Step-by-step explanation:

x+4=x-12  Subtract x from both sides.

-x    -x

4=-12       This statement is not correct, so there is no solution.

Hope this helps you out and have a great day :)

Answer:

none

Step-by-step explanation:

0=−16

please please please help me with my geometry homework. it needs to be done ASAP​

Answers

Answer:

only give the name to all figure

( 25 points) I need help with 3 and 4

Answers

Answer:

10,00 for 3.

4. 72

Step-by-step explanation:

Answer:

3) 10,000 stacks

4) 84 inches

Step-by-step explanation:

3)

1,000,000 / 100 = 10,000

4)

7ft x 12in/foot = 84 inches

what is the answer to x-5y

Answers

x-5y cannot be further simplified unless x and/or y is unknown.

In the case that you know what x is then you can isolate and solve for y, if you know what y is, then it is the other way around.

If you know both of the variables values, then you can simply just replace the variables and solve.

Find the equation of the vertical line at an x coordinate of -3

Answers

Answer:

Step-by-step explanation:

A triangle has sides of length: 372 +8, 202 + I, and a 3. What is the perimeter of the triangle? Recall that the perimeter is the sum of the sides, 52 + 2x + 5​

Answers

Given sides of the triangle:

3x^2 + 8,2x^2 + x, andx - 3.

We know that the perimeter of a triangle is the sum of all the sides of a triangle.

Perimeter of the triangle,

= 3x^2 + 8 + 2x^2 + x + x - 3

= 3x^2 + 2x^2 + x + x + 8 - 3

= 5x^2 + 2x + 5

Therefore, the perimeter of the triangle is 5x^2 + 2x + 5. Hence, the option A is the correct answer.

The length of a rectangle is twice the width. The area of the rectangle is 82 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.

Answers

Answer:

The formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product of length and width, that is, "A = l × w".

The side length of each square will be √41 units. And the length and width of the rectangle will be 2√41 units and √41 units, respectively.

What is the area of the rectangle?

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Then the area of the rectangle will be

Area of the rectangle = L×W square units

The length of a rectangle is twice the width.

L = 2W

The area of the rectangle is 82 square units. Then we have

82 = 2W × W

41 = W²

W = √41 units

The side length of each square will be √41 units.

Then the length of the rectangle will be

L = 2√41 units

The length and width of the rectangle will be 2√41 units and √41 units, respectively.

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