What is the equation, in point-slope form of the line
that is parallel to the given line and passes through the
point (4, 1)?
(-3, 3)
2
1
(-21)
5 4 3 2 1
2
3
4
5
X
oy-1 = -2(x – 4)
O y-1 - - -(x-4)
Oy-1 = {(x-4)
o y- 1 = 2(x - 4)

Answers

Answer 1

The equation of the line, in point-slope form, is: A. y - 1 = -2(x - 4).

What is the equation of a Line in Point-slope Form?

Where, a and b are coordinates of a point on a line, and m is the slope, the equation of the line in point-slope form can be written as, y - b = m(x - a).

Given:

Slope of the line is: -2Point it passes through is: (4, 1).

Therefore, substitute (a, b) = (4, 1) and m = -2 into y - b = m(x - a).

Thus:

y - 1 = -2(x - 4)

Therefore, the equation of the line, in point-slope form, is: A. y - 1 = -2(x - 4).

Learn more about the point-slope form on:

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Related Questions

Find the slope.
|(3, 2) and (-5,2)

Answers

Answer:

Step-by-step explanation:

Given two points

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, the slope is defined as

XXX

m

=

Δ

y

Δ

x

=

y

2

y

1

x

2

x

1

if your call phone bill was $67.82 and there is a 7.5% late free tax how much will your bill will be

Answers

Answer:

$72.91

Step-by-step explanation:

1.) 0.0075 x 67.82= 5.0865

2.) 67.82+5.0865= 72.9065 but I rounded it to 72.91 because with money it doesn't go beyond the hundredths place

Which choice lists the numbers in increasing order?

Answers

Answer:

D

Step-by-step explanation:

Because negative is smaller than fractions. and ABC, is all off.

Answer: I think the answer is D/ the last answer

Step-by-step explanation:

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp[[[[[[[[[Erica deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals, how much money is in Erica’s account at the end of four months?

Answers

Erica will have $309.2 left in her mani account after 4 months
Answer:
$309.20

Explanation:
We know that..
- Erica started off with $450 in her bank account
- $35.20 gets taken out of her bank account every month

Using this information, we can write an equation:
E = 450-35.2m

E= the amount of money Erica has
m= the number of months that pass

And now, all we have to do is substitute m as 4 to find out how much money is in Erica’s account after 4 months.

E = 450-35.2m
E=450-35.2(4)
E=309.2

Therefore, there would be $309.20 left in Erica’s bank account after 4 months.

A deli has a special one-day event to celebrate its anniversary. On the day of the event, every eighth customer receives a free drink. Every twelfth customer receives a free sandwich. If 200 customers show up for the event, how many of the customers will receive both a free drink and a free sandwich? Write your answer as a 3 digit number.

Answers

Answer:

25.0 gets a free drink

16.7 gets a free sandwich

Step-by-step explanation:

200÷8=25

200÷12=16.66 round to 3 digits would be 16.7

Select all that apply.

Which of the following name an angle in the drawing?

Answers

Answer:

ECB

ACB

CDE (if it doesn't matter what order the letters are in)

Step-by-step explanation:

1. The sum of first n terms of an arithmetic sequence is 3n²+4n

a, what is its first term?
b, write the algebraic form of the sequence.
c, find the 20th term.​

Answers

Answer:

          a.  a₁=7,     b.  a_n=7n+1,    c.  a₂₀=141

Step-by-step explanation:

a.

 [tex]a_1=S_1=3\cdot1^2+4\cdot1=3+4=7[/tex]

b.

   [tex]a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}[/tex]

c.

 [tex]a_{20}=7\cdot20+1=141[/tex]

-0.4 divided by 0.25

Answers

The answer to your question is -1.6

What can you do to the Smiley Face 1 to get Smiley Face 2?

Answers

Answer:

turn 180

Step-by-step explanation:

turn 180 bc yk how 360 is all around? yeah 180 is only half of that so A is the correct answer

Select all the equations where b=11b=11b, equals, 11 is a solution. Choose 2 answers: Choose 2 answers: (Choice A) A 2b=2112b=2112, b, equals, 211 (Choice B) B b+18=7b+18=7b, plus, 18, equals, 7 (Choice C) C 77=7b77=7b77, equals, 7, b (Choice D) D 9=b-29=b−29, equals, b, minus, 2 (Choice E) E 11=33\div{b}11=33÷b

Answers

Answer:

Step-by-step explanation:

We are to choose all the equation that evaluates b to be 11. The following equations are true;

77 = 7b

To get b, we will divide both sides by 7

77/7 = 7b/7

11 = b

b = 11

This shows that the equation is correct since b = 11

Also 9 = b-2

To get b, we will add 2 to both sides of the expression

9+2 = b-2+2

11 = b

b = 11

This shows that the equation is correct since b = 11

Hence option C and D are correct

Answer:

C and D

Step-by-step explanation:

You do the opposite of the question to get answer.

The weather center in Alaska recorded the average temperature for 42 days and prepared the dot plot shown. What was the mean temperature during that period?
A. 12.4 degrees
B. 10.7 degrees
C. 11.3 degrees
D. 9 degrees

Answers

Your answer will be C, 11.3. 42 numbers all together, add them up and you get 476 then you divide it by 42 and get 11.3

true or false, the ratios 4:10 and 8:20 are equivalent


PLEASE HELP IF I FAIL MY MOM IS GONNA-

Answers

Answer:

True

Step-by-step explanation:

If you multiply both 4 and 10 by two, you get 8 and 20

The ratios 4:10 and 8:20 are Equivalent.

What is ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

As, when the two ratios are equal after simplifying then they are equivalent ratio.

So, 4/10

= 2/5

and, 8/20

= 2/5

As, both ratios are giving equal value after simplifying.

Learn more about ratio here:

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#SPJ2

Can someone please help me with this question:)

Answers

Answer:

x = 12 and y = 24 Can I get brainiiest

Step-by-step explanation:

We know (3x + 34) and (2x + 46) are vertical to each other so they equal the same measure. We will solve it like this.

3x + 34 = 2x + 46 (subtract 34 on each side)

3x = 2x + 12 (subtract 2x on both sides)

x = 12

Now plug in

3(12) + 34 = 2(12) + 46

36 + 34 = 24 + 46

70 = 70

Now all you have to do is do the other pair of angle

4y + 14 + 70 = 180 (we are using what we already know about 70)

(collect like terms)

4y + 84 = 180 (subtract 84 on both sides)

4y = 76 (divide by 4)

y = 24

(plug in)

4(24) + 14 = 6(24) - 34

96 + 14 = 144 - 34

110 = 110

dont understandd helppp​

Answers

Answer:

y[tex]\leq[/tex] -12 or y[tex]\geq[/tex] -4

Subtract 6 from both sides 3|y+8|+6-6[tex]\geq[/tex]18-6Simplify 3|y+8|[tex]\geq[/tex]12 Divide both sides by 3Simplify |y+8|[tex]\geq[/tex]4Apply absolute rule y+8[tex]\leq[/tex] -4 or y+8[tex]\geq[/tex]4Combined the interval y[tex]\leq[/tex] -12 or y[tex]\geq[/tex] -4

y[tex]\leq[/tex] -12 or y[tex]\geq[/tex] -4:) Hope You Enjoy :) They are both real numbers :)

A waiter earned a 3% tip. What decimal is equivalent to 3%

Answers

Answer:

0.03    

Step-by-step explanation:

1 would be 100% so 0.03 would = 3

Identify the most precise name for the angle pair shown in the picture.

1. Adjacent Angles

2. Supplementary Angles

3. Vertical Angles

4. Linear Pair

5. Complementary Angles ​

Answers

Answer:

Complementary Angles

Step-by-step explanation:

Complementary angles are angles whos measures add up to 90 degrees! The angles in the picture can also be described as adjacent angles, because they share the same vertex.

So these angles are technically both complementary and adjacent, but they are more specifically, complementary.

I hope I was of assistance! #SpreadTheLove <3

The answer has to be 4

Find the distance between -7, -3 2/3 on a number line.

Answers

Answer:

3 and 1/3 because 7 minus 3 and 1/3 equals 3 2/3 or you could also do 3+3=6 and 2/3+1/3=1 and 1+6=7

The distance between -7 and -3 2/3 on the number line is 3 1/3

How to determine the distance between the numbers?

The numbers are given as:

-7 and -3 2/3

Calculate the absolute difference between both numbers

d = |-7 + 3 2/3|

Evaluate the difference

d = | 3 1/3|

Evaluate the absolute value expression

d = 3 1/3

Hence, the distance between -7 and -3 2/3 on the number line is 3 1/3

Read more about number lines at:

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In a shoe store window, Sandy sees a sign announcing 25% off all sandals in stock. She finds a pair she likes that was originally priced at $45. If Sandy buys this pair of sandals on sale, how much will she pay?
a)11.25 b)22.50 c)33.75 d) 56.25

Answers

33.75 is the answer because 25% of 45 is 11.25 and 45-11.25=$33.75

5.1 x 10
Please help​

Answers

Easy it’s 51 bc when u multiply by 10 the decimal point will move

Answer:

51

Step-by-step explanation:

Because 5.1 times ten equals 51 because if you times ten by 5 u get 50 and then do .1 times ten you get 1

Please help asap!!! URGENT!!!

Answers

Answer:

b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.

Step-by-step explanation:

With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.

So in this case:

The original leg's length is 8 mm. Side b will be that 8 times √3.

So, b = 8√3 mm.

Side a will be 8 times 2.

So, a = 16 mm.

With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.

So in this case:

The original leg's length is 5 ft. Side x will be that same length.

So, x = 5 ft.

Side y will be 5 times √2.

So, y = 5√2 ft.

Answer:

b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.

Step-by-step explanation:

With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.

So in this case:

The original leg's length is 8 mm. Side b will be that 8 times √3.

So, b = 8√3 mm.

Side a will be 8 times 2.

So, a = 16 mm.

With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.

So in this case:

The original leg's length is 5 ft. Side x will be that same length.

So, x = 5 ft.

Side y will be 5 times √2.

So, y = 5√2 ft.

20 POINTS FOR YOU !!!
HELP ME PLEASE
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
given: ABCD is a parallelogram
prove: angle 1 is supplementary to angle 3

Answers

For a better understanding of the answer provided here, please have a look at the attached diagram.

The diagram has been made as per the information provided in the question.

From the statements in the question we can see that:

[1] is the angle  

[2] is Supplementary

[3] is the segment bc

Thus, the above are the words or names that correctly fill in the blanks to complete the proof.

Answer:

See below.

Step-by-step explanation:

  Statements:                        Reasons:

1) ABCD is a parallelogram     : Given

2) ∠1≅∠2                                   : Alternate Interior Angles Are Congruent

3) ∠2+∠3=180                           : Angle Addition Postulate

4) ∠1+∠3=180                            : Substitution

5) ∠1 is supplementary to ∠3   : Definition of Supplementary Angles

And we're done!

A salt-water tank needs to contain 5 gallons of water for each 1-inch fish. If Ian has a 30-gallon tank, predict how many inch-long fish he can have.

Answers

Answer: 6 one inch fish

Step-by-step explanation: he needs to have 5 gallons of water for every one-inch fish. 6 x 5 is 30

PLEASE HELP I NEED THIS

Michael read 14 books in 26 months. At the same rate, about how many books can he read in 48 months?

Answers

Answer:

336/13 books in 48 months

Step-by-step explanation:

14 books : 26 months

first, find how many books he reads in one month (by dividing the given rate by the number of months)

14 books : 26 months

/26             /26

7/13 books : 1 month

now multiply by the number of months that this problem requires

7/13 books : 1 month

*48               *48

336/13 books : 48 months

solve this equation step by step x+3*2=12-2*2

Answers

Answer:

Step-by-step explanation:

x+3*2=12-2*2

x+6=12-4

x+6=8

  -6 -6

x=2

(e) If f(x+3) = f(x) + f(5) then prove that: f(2)= 0 and f(5) = -f(-1)

Answers

Answer:

See below.

Step-by-step explanation:

f(x + 3) = f(x) + f(5)    (Given) so:

f(2 + 3) = f(2) + f(5)

and f(2) = f(2 + 3)  - f(5)

= f(5) - f(5) = 0.

f(-1) = f(-1 +3) - f(5)

= f(2) - f(5)

= f(-3)

So - f(-1) = f(3)

Also:

f(5) = f(x + 3) - f(x)

= f(x + 3 - x)

= f(3).

But f(3) = -f(-1)  ( shown above),

So f(5) = -f(-1).

Convert 137 pounds to kilograms. Use 1 kg = 2.2 lb.

Answers

Answer:

62.1422

Step-by-step explanation:

62.142

Any conversation from lbs to kilograms can be approximated by dividing labs by 2.205

NASA is launching a prove that will travel in a straight line to Saturn and then beyond. Use d to represent the distance from Earth to Saturn, and use q to represent the total distance the probe has traveled. Saturn has not moved relative to the probe.

Answers

Step-by-step explanation:

its c because ppl eheueebeuebeue eueeb

Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12. Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys. Which inequality represents this situation? 1.29x+1.35y<12 1.29x+1.35y≥12 1.29x+1.35y>12 1.29x+1.35y≤12

Answers

Answer:$15.95

Step-by-step explanation:

You have to Add to get your answer I'll show you how I got $15.93:

1.29+1.29=$2.58

2.58+1.35=$3.93

3.93+12=$15.93

Your answer is:$15.93

hope this was helpful:)

Write an interpretation of the statement f(3) = 75.

Answers

Given:

The statement is

[tex]f(3)=75[/tex]

To find:

The interpretation for the given statement.

Solution:

We know that,

[tex]f(x)=y[/tex]        ...(i)

Here, x is the input value and y is the output value.

We have,

[tex]f(3)=75[/tex]       ...(ii)

On comparing (i) and (ii), we get

[tex]x=3,y=75[/tex]

It means, the output value of the function f(x) is 75 at x=3.

Two lines intersecting at a right angle
form a line.
are parallel.
are perpendicular.
form aray

Answers

Answer:

Form aray

Step-by-step explanation:

Neither form a line and it also have both parts and perpendicular

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