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

Which planets would you MOST LIKELY be able to see in the night sky without a telescope?
A)
Venus and Saturn
B)
Uranus and Jupiter
Neptune and Saturn
D)
Mercury and Neptune

Answers

Answer:

There are 5 planets visible without a telescope, Mercury, Venus, Mars, Jupiter, and Saturn (6 if you include Uranus for those with sharp eyes!). All of them plus Neptune move within 7 degrees of the ecliptic.

Venus. After the Moon, Venus is the brightest natural object in the night sky. It is both the Earth's closest neighbor in our Solar System and the planet most similar to Earth in size, gravity, and composition. We can't see the surface of Venus from Earth, because it is covered with thick clouds.

Step-by-step explanation:

https://www.astronomynotes.com/nakedeye/s15.htm#:~:text=There%20are%205%20planets%20visible,7%20degrees%20of%20the%20ecliptic.

https://www.farmersalmanac.com/visible-planets-guide

So I think it is A sorry if I am wrong.

Answer:

C. Neptune and Saturn

Explanation:

Neptune and Saturn are both considered 'giant planets'. Therefore, these planets are most likely to be visible from earth.

hope this helps!

Find the simple interest.
Principal
Rate
Time
$6000
20%
4 1/2 years

Answers

Answer:

$5,400. 20% of 6,000 = 1,200. 1,200 * 4 1/2 (4.5) = $5,400 (bonus: 6,000 + 5,400 = $11,400) hope this helps

Step-by-step explanation:

- Zombie

A
B
6
D
C
E
F
5. What is the area of quadrilateral DCFE?
(A) 14
(B) 18
(C) 24
(D) 32
(E 36

Answers

Answer:

m<DEF = 47°

Step-by-step explanation:

Given:

m(DEF) = 266°

Required:

m<DEF

Solution:

m<DCF = ½(m(DEF)) (Inscribed angle theorem)

Substitute

m<DCF = ½(266°)

m<DCF = 133°

Opposite angles in an inscribed quadrilateral are supplementary.

Therefore,

m<DEF = 180° - m<DCF

m<DEF = 180° - 133°

m<DEF = 47°

Anyone know this? Thanks

Answers

Answer:

20

Anything to the power of one equal its number itself.

Is is 20……………………:..::::…………….::.:.44

If BD = BC , BD = 5x - 26, BC = 2x+1, and AC = 43, find AB

Answers

Answer:

BD is congruent to BC. BD=BC

BD = 5x – 26, BC = 2x + 1, and AC = 43

To find out , we need to find  BC first . For that we have to find out x

WE know that BD=BC, using that we solve for x

Now we plug in 9 for x  and find out BC

BC=2x+1

BC=2(9)+1

BC=19

We know AC= 43

AC=AB +AC

43=AB+19

subtract 19

AB = 24

Step-by-step explanation:

hope that helps>3

What is Pt=3x+4 and tq=5x-6

Answers

X=6 I believe answer

Evaluate each expression if a = -1 and b = 6: a + b ab​

Answers

Answer:

[tex]a + b = - 1 + 6 = 5 \\ a \times b = 6 \times ( - 1) = - 6[/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Evaluate each expression if a = -1 and b = 6:

a + b ab

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

(1) a + b = ?

Given, a = - 1 & b = 6. So, a + b = ?

[tex] \sf \: a + b = ? \\ \\ \sf \: Substitute \: the \: values \: of \: a \: and \: b \\ \\ \sf a + b \\ \sf \dashrightarrow( - 1) + (6) \\ = \large \boxed{\mathfrak{ 5}}[/tex]

__________________

(2) ab = ?

Given, a = - 1 & b = 6So, ab = ?

[tex] \sf \: ab \: = ? \\ \\ \sf \: Substitute \: the \: values \: of \: a \: and \: b \\ \\ \sf \: ab \\ \dashrightarrow \sf( - 1)(6) \\ \dashrightarrow \sf- 1 \times 6 \\ = \boxed{\mathfrak{ \bold- 6}}[/tex]

Find the measure of Zx in the figure.

Answers

Answer:

130 degrees

Step-by-step explanation:

Add 90 and 40

Helppppppp meeeeee pleaseeeee

Answers

Hello!

The slope equation is y = mx + b

mx is the slope and b is the yintercept.

4. y= -3x + 5

See where I put the slope and y intercept above?

Those are where the numbers go in that equation.

5. 3x + y = 5

The standard for equation is: Ax + by = c

y = -3x + 5

we need to make the equation look like the standard form equation.

y = -3x + 5

lets add 3x to both sides

The answer is 3x + y = 5

6. m = [tex]\frac{3}{2}[/tex]

We need to use this formula: [tex]m=\frac{y2-y1}{x2-x1} \\\\\\[/tex]

The points said are: (2, 5) and (4, 8)

[tex]m=\frac{8-5}{4-2}[/tex]

m = 3/2

M is the slope.

---------------

I hope this helps,

Have a great day!!

How to solve 1.025x = 11.55

Answers

Let's find the value of x,

→ 1.025x = 11.55

→ x = 11.55/1.025

→ x = 11.2682926829

→ [x = 11.27]

So, 11.27 is the solution.

2.
You drop a ball from a height of 1.5 meters. Each curved path has 74% of the height of the previous path. a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1. b. What height will the ball be at the top of the sixth path?

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
B. A(n) = 1.5 • (0.74)^n–1 ; 0.33 cm
C. A(n) = 150 • (74)^n–1 ; 332,850,993,600 cm
D. A(n) = 0.74 • (1.5)^n–1 ; 5.62 cm

Answers

Answer:

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm

Step-by-step explanation:

This is a geometric sequence.

a%5B1%5D=1.5m=150cm, r=0.74

The formula is

a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29

Just substitute a1 = 150cm and r = 0.74

a%5Bn%5D=150%280.74%29%5E%28n-1%29

That's the rule.

For the second part, substitute n = 6

cm.

Larry has three times as many pencils as Ben. Dejuan has four less than the number of pencils as Ben. Write the expression that would be the total number of pencils for all three of them.

Answers

Answer:

The total number of pencils for Larry, Ben and Dejuan is expressed as:

5B - 4

Step-by-step explanation:

Let B represent the number of pens Ben has.

》Ben = B

》Larry = 3 × B = 3B

》Dejuan = B - 4

∴ Total number of pencils for the three of them

= B + 3B + (B - 4)

= 5B - 4

Help please iieieieieieieieieie

Answers

Answer:

THE LENGTH OF SIDE=14cm

As,

Hypotenuse ²=Base²+Perpendicular ²

H²=13²+5²

H²=169+25

H²=196

H=14

Find the positive difference between 76 and -28​

Answers

Answer:

48

Step-by-step explanation:

Question: 76+ (-28)

1. Subtract because a positive and a negative added together would make you have to subtract

76-28=48

PLEASE HELP ASAP!!!
How do you know where to place the decimal point in the quotent when dividing a decimal by a whole number?

Answers

You place the decimal point in the quotient directly above the decimal point in the dividend.

PLEASE HELP ASAP!!!!!!!!!!
Isabella solved the following equation:

4x − 2x + 8 = 6(x + 4)

Which step has an incorrect justification?

Answers

Answer: step 3

Step-by-step explanation: that is supposed to be subtraction i am 99.9% sure

Step 3 is wrong because it has an incorrect justification

Find the surface area of the following solids.
4.5 m
4.5 m
45 m

Answers

Answer:

4.5*4.5*45=911.25

is this correct answer

unit rate 18 people in 3 vans​

Answers

Answer:

6:1

Step-by-step explanation:

6 people per van

Answer:

6:1

Step-by-step explanation:

4) For babysitting Jack was given $19. Now
he has $39. How much money did he
have before?
A) $58
B) $20
C) $1 D) $1.05

Answers

Step-by-step explanation:

If he got $19 from babysitting and now he have $39.

So,

=$39-$19

=$20ans

I hope it will help you

8(y - 5 ) is equivalent to which following?​

Answers

Answer:

8y-40

Step-by-step explanation:

First you expand the brackets

8 x y - 8 x 5

= 8y - 40

Find the equation of this line

Answers

Step-by-step explanation:

y = - 2/5 x + 1

____________

Answer:

y = -2/5x + 1

Step-by-step explanation:

slope = rise/run

The line goes down two and five right.

The line crosses the y-intercept at 1.

Prove this identify : 2 cos^2 (45°-A ) = 1 +sin 2 A​

Answers

I wasn’t sure how to put this into words. I hope this makes sense. <3

a boy travelled a distance of 10 km in 2 minutes calculate the speed of that boy

Answers

Step-by-step explanation:

(i hope this helps)

speed=distance/time taken

Find the measure of the missing angle

Answers

Answer:

120 degrees and 145

Step-by-step explanation:

Straight line is 180 degrees so just subtract the angle you already know

Angel A = 180 - 60 = 120
Angel B = 180 - 35 = 145

GIVING BRAINLY
Collect data by conducting a survey that has observations or measurements.

My Topic:

My Question:

My Data Collection Method:

How I Plan to Collect My Data:

How I Plan to Record My Data:

Collect and record your data in this space.

Answers

And I’ll put the rest in
Topic is Brownies versus cookies
Questions is do people like brownies or cookies more
Data collection method is just asking people
Collection plan is asking family and people in stores
I plan to record this data in a tally mark table
Actual recording in picture

Choose the best description for the real number 35

Answers

Answer:

A) Irrational, because it is not a terminating or repeating decimal.

Step-by-step explanation:

Every time a square root results in a decimal, it will always never end, and never repeat. The square root of 35 qualifies for both of these qualities, therefore, making the answer (A). Hope this helps!

Alexander earns $11.50 per hour working at the nearby grocery store last week Alexander worked for 13 1/2 hours how much money did Alexander earn last week round your answer to the nearest penny.

Answers

Answer:mzxm m mccaca

Step-by-step explanation:s,cscbsmc msc cmca

11.50x13=155.25

Alexander earned $155.25 last week

I need help ASAP!!! 8(2w=-2)=7(3w+2)

Answers

Answer:

well i dont know what you meant by the misplaced equal sign, but i removed it, this is the equation i solved

8(2x-2)=7(3w+2)

Step-by-step explanation:

the answer is in the file below

If this answer helped you out, please consider leaving a thanks,  thank you.

the floor of a room is 12 m long and 6 m wide the floor of this room is to be fitted with tiles of dimension 10 cm x 2 cm what will the total expense in Rupees if the cost of tiling is 5 atile​

Answers

Step-by-step explanation:

the price is 5 per tile ?

the area of the rectangular room is

12×6 = 72 m²

each m² has 100×100 = 10000 cm²

so, we have for the total area in cm²

72 × 10000 = 720000 cm²

one tile has 10×2 = 20 cm²

so, how many tiles will we need ?

720000 / 20 = 72000 / 2 = 36000 tiles.

so, if truly 1 tile costs 5 Rupees, then we have

36000 × 5 = 180000 Rupees as total costs.

Step-by-step explanation:

1 m = 100 cm

12 m = 1200 cm

6 m = 600 cm

Area of room = l × w

Area = 1200 × 600

Area = 720000 cm²

Area of tile = l × w

Area = 10 × 2

Area = 20 cm²

Total tile = 720000/20 = 72000/2 = 36000

Cost = 36,000 × 5

Cost = $ 180000

A rectangle has a length of 16 inches more than three times its height. If the perimeter of a rectangle is 504 inches, find its dimensions.
The length equals ___ inches and the height equals ___ inches.

Answers

Refer to the attachment

Sorry in advance if my handwriting is not good

Hope it helps you

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