What is the equation of the line that passes through (3.-1) and is parallel to the line y = 3x + 2?​

Answers

Answer 1

Answer:

[tex]y=3x-10[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

[tex]y = 3x + 2[/tex]

From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in the given point (3,-1)

[tex]-1=3(3)+b\\-1=9+b[/tex]

Subtract 9 from both sides

[tex]-1-9=9+b-9\\-10=b[/tex]

Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-10[/tex]

I hope this helps!


Related Questions

Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club will send him 12 new coins per month, and Jill's club will send her 8 new coins per month. After how many months will Jack and Jill have the same number of coins?

Answers

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

whats this picture's eqeuation

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

The slope can be found by taking two points, for instance: (0,3) and (3,9) which lie on the graph.  Find the slope between the two, remember rise over run:

(9-3)/(3-0) = 6/3 = 2

The y-intercept is (0,3)

So b in the y= mx + b equation is 3.

m is the slope, so it is 2.

y = 2x + 3

Please help me on this problem

Answers

Answer:

The answer would be 20 mi

Step-by-step explanation:

a^2+b^2=c^2

a^2=144

b^2=256

C^2=400

Then you find the square root of ABC to find that C is 20

Does anyone understand? Need help asap

Answers

Answer:

it's 149.(54)=7

Step-by-step explanation:

that's the answer

I am in need for help please

Answers

Answer:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.

Answers

Answer:

3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

(40-12)/4

  28/4

     7

please help!! 40 points . if you guess or just comment to take points i will make sure your account gets banned, thanks! i want a small simple explanation.

Answers

Answer:

1) m<DBE= 140

2)m<EBD= 30

Step-by-step explanation:

1) 5x-60= x+20

4x= 80

x= 20

plug in the x into the equation: (x+20)---> (20+20)=40

180-40= 140

2) 4x-2+20x-10= 180

24x= 192

x=8

plug in the x into the equation: (4x-2)----> 4(8)-2----> 32-2= 30

3) im not sure

4) im not sure

Answer: did you see my answer on the second page?

Step-by-step explanation: IM SORRY PLEASE DONT BAN ME

BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)

Answers

Answer:

take care everyone be safe

stay home , stay safe

take vaccination

From the top of a cliff 8 metres high,two boats are seen in a direction due West. Find the distance between the boats if their angles of depression from the top of a cliff are 45 degrees and 30 degrees. Find also the actual distance the further boat from the top of the cliff.​

Answers

Answer:

Distance of first boat = 8 meter

Distance of second boat = 13.87 meter (Approx.)

Step-by-step explanation:

Given:

Height of cliff = 8 meter

Angle of depression respectively = 45° and 30°

Find:

Distance of boats

Computation:

Tanθ = Perpendicular / Base

Tan45 = 8 / Distance of first boat

1 = 8 / Distance of first boat

Distance of first boat = 8 meter

Tan30 = 8 / Distance of second boat

0.577 = 8 / Distance of second boat

Distance of second boat = 8 / 0.577

Distance of second boat = 13.8648

Distance of second boat = 13.87 meter (Approx.)

Mel received notice that his monthly health care rate will increase 20% next year. If Mel currently pays $150 per month for health care, by what amount will his rate increase next year?

Answers

It will increase by $30

We need to convert the percentage to a decimal by dividing by 100. Then we multiply by the $150.

150 x 0.20 = 30

Simple math! Please help!!!!

Answers

[tex] c.\:{x}^{ - 4} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]

Note:-

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

PLEASE ANSWER THIS



. . .



please

ΔΔ

U

Answers

Answer:

58

Step-by-step explanation:

The center line in a box plot represents the median

Look at the graph below.



Which point can you add to the graph to make this graph NOT A
FUNCTION?
(2,6)
(5.3)
(7.5)
(8,8)

Answers

Answer:

B. (5, 3)

Step-by-step explanation:

Given points:

(3, 5), (5, 8), (9, 7)

The graph should have a same x-value with a different y-value.

From the list we have only point (5, 3) which makes this a non-functional relationship.

Correct choice is B

Points here are

(3,5)(5,8)(9,7)

As per definition of function

Every domain has a unique range

Check option B

If we put than

The. f(5) would have 2 values 8 and 3

Which won't be a function

Using the figure shown, match each Trigonometic Ratio to the ratio of the sides.

Answers

Answer:

Step-by-step explanation:

Sin(A) = a/c

Cos(A) = b/c

Tan(A) = a/b

Answer:

Solution given:

Trigonometic Ratio to the ratio of the sides. are.

SinA=a/c

CosA=b/c

TanA=a/b

Trying to find the surface area and can not get the answer.

Answers

Answer:

Hi there user! I'll help you!

96 should be the correct answer!

Step-by-step explanation:

4 x 3 = 12

4 x 7 = 28

5 x 7 = 35

3 x 7 = 21

12 + 28 + 35 + 21 = 96

Application:
Sharone took 2-hours to complete her science
project. She took 140 minutes to complete her math
homework. Which assignment did she spend more
time completing? How many more minutes did she
take?​

Answers

2 hours = 120 minutes
120 minutes =science
140 minutes = math

She spent more time on math homework

140-120=20

She took 20 more minutes on her math homework than her science homework.

which of the following statements are true about solving equations

Answers

Answer:

u need to provide the statement

Step-by-step explanation:

I think you legit to upload a pic !

I need help like big time! PLEASE I NEED THIS ANSWERED!!

Answers

Answer:

x = 94

Step-by-step explanation:

[tex]x + (\frac{1}{2}x + 39) = 180[/tex]

1.5x + 39 = 180

Subtract 39 from each side.

1.5x + 39 - 39 = 180 - 39

Simplify.

1.5x = 141

Divide each side by 1.5.

1.5x ÷ 1.5 = 141 ÷ 1.5

x = 94

Help, please!!!


Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.
The probability of picking a card with an even number is ___
.

Answers

Answer:

the top is right 2/5

Step-by-step explanation:

The probability is 3 / 10.

What is Probability?

The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

7, 11, 12, 13, 14, 18, 21, 23, 27, and 29

So,

even numbers are = 12, 14, 18.

The probability of picking a card = 3 / 10

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

ASAP
-WILL MARK BRIANIST

Answers

its A, C, and E

Good Luck

Answer:

I got A and C

Step-by-step explanation:

The variable in answer choice A would be when it says "An elephant eats 5 tons of food every day". In C the the number of min is reverse multiplies by the number of tests.

What is the sum of the interior angles in this shape?

Answers

Answer:

720° :)

Step-by-step explanation:

You can find the total interior angle for any shape using the following (n being the number of sides):

S = ( n - 2 ) × 180 °

S = (6-2) * 180

S = 720

I believe 720 because every triangle is 180 so your can be made up of 4 triangles, so multiply 180 times 4

PLEASE HELP ASAP ILL GIVE BRAINLIEST

Answers

Answer:

B the second answer is correct!!!!

Step-by-step explanation:

Hope This Helped

Let me know if its wrong or not but i 99.99% believe it's correct

ANSWER: B

EXPLANATION:
If a predator moves to the area and is feeding off the red fish because they are seen by their color, the prey will need to adapt to the new situation. Therefore, they must change to the whiter colors so they are less seen for the red. This is a form of prey adaptation.

what will the remainder over the divisor?

Answers

It’s the last answer. 1/x-2

I need to find this angle please help i know it is adjacent but i need the angle.

Answers

Answer:

148 degrees!

Step-by-step explanation:

They are 180 degrees together so just subtract 32. 180- 32 = 148.

Answer:

148°

Step-by-step explanation:

A flat angle measures 180°

180° - 32° = 148°

Can someone help me the four options would be 34 degrees btw

Answers

Answer:

Angle NKQ is 68 Degrees.

Step-by-step explanation:

With this, consider the arc that Angle NPQ is making. It is making an arc of 112 degrees since the Angle is coming out from the radius of the circle.

Now, there is also the arc 248 degrees for the remainder of the circle that is not within this angle's reach.

Since Angle NKQ shares these arcs, we can use the equation:

Big Arc + Small Arc / 2

to get the measure of this angle

(248 - 112) / 2

With this, Angle NKQ is 68 degrees.

Hurry please need fast

Answers

Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9 in

Answers

Answer:

82.8 in²

Step-by-step explanation:

The surface area a triangular based pyramid :

Base area + 1/2(perimeter * slant height)

Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches

Base area of triangle :

1/2 * base * height

1/2 * 8 * 6.9

4 * 6.9

Base area = 27.6 in²

The perimeter, P = sum of sides ; (s1 + s2 + s3

P = 8 + 8 + 8 = 24 in

Hence,

Surface area = 27.6 in² + 1/2(24*4.6)

Surface area = 27.6 in² + (12 * 4.6) in²

Surface area = (27.6 + 55.2)

Surface area = 82.8 in²

Need help with this struggling a bit.

Answers

The answer is A hope it helps plz mark me a brainlest

V = ( 4/3 ) × π × r^3

V = ( 4/3 ) × π × ( 6/2 )^3

V = ( 4/3 ) × π × ( 3 )^3

V = ( 4/3 ) × 3 × 9 × π

V = 4 × 9 × π

V = 36 π m^3

Thus the correct answer is option D .

find the circumference of a circle with a radius of 2.5 cm

Answers

C=2*pi*r
2*3.141592654*2.5
Answer: 15.7 cm

WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4

Answers

Answer: Choice A)  

y = -4x+1

=======================================

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.

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