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

helpppp!!!
Make a conjecture about the number of units produce in 50 hours

Answers

I think it would be 35/50 for the number of units produced in 50 hours. I had a question similar to this in a McGraw Hill Grade 8 math book.

Someone help me with 20 and 19 ASAP please and thank you!!

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19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.

20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be

2 * 3^2 + 5

= 2* 9 + 5

=18 + 5

=23

This is for math pls help I need this done

Answers

Answer:

its upside down turn it around

Step-by-step explanation:

PLEASE HELP ASAP ILL MAKE BRAINLIEST HURRY

The graph below shows the amount of money earned based on the number of hours spent tutoring.



Select all the true statements based on the graph.

A
Point C represents the total amount earned after tutoring for 4 hours.

B
The total amount earned is $6 after tutoring for 90 hours.

C
The total amount earned is $15 per hour.

D
The point (5,75) represents that $75 was earned after tutoring for 5 hours.

Answers

Answer: C and D

Step-by-step explanation:

Answer:

A and B are both credible on the graph.

hey! i’ll give brainliest please help

Answers

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

Simplify for ez points!

Answers

Answer:A

Step-by-step explanation:  divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4

The answer is A your welcome

Find the following value

Answers

Answer:

∠ BCA = 45°, ∠ AWD = 90°

Step-by-step explanation:

All angles are right angles by definition.

Diagonals bisect the angles , so

∠ BCA = 45°

Diagonals are perpendicular bisectors of each other, so

∠ AWD = 90°

-4i+ 3i= i- 8+ 3i- 12

Answers

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!

Answers

Answer:

A. Yes, [tex]12\cdot 32> 360[/tex]

B. An underestimate could lead to you being stranded on a road trip in the middle of nowhere without guess. When it comes to these things, it's better to have more than necessary. After all, you'd rather have gas and not need it than need it and not have it.

Step-by-step explanation:

A. We can quickly calculate that 12 x 30 = 360. We need to travel 10 more miles to get to 370, but we have 2 miles per gallon and 12 gallons of gas, or 12 x 2 = 24 more miles! Upon further inspection it is evident that 12 x 32 = 360 + 24 = 384 which is indeed larger than 370.

B. Answer contains explanation.

Please help me!
Find the indicated sum for each sequence.


S9 of –9, 36, –144, 576, ...

Answers

Answer:

the answer is to multliply it by -4

Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7

Answers

Answer:

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Step-by-step explanation:

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Someone please help me thank you

Answers

Answer:

(3,0) and (7,8)

Step-by-step explanation:

I assume you are looking for the points at which the parabola and line cross. In that case, this is rather simple. You can look at it and see where on the graph the points are.

what is law of sines

Answers

Answer:

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles

The Law of Sines (or Sine Rule) is very useful for solving triangles:

a/sin A=b/sin B=c/sin C

hope this helps

have a good day :)

Step-by-step explanation:

shelly is rolling a six-sided number cube and recording her results in a chart.

Which is BEST supported by the data in the chart?

A.When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

B.When viewing the data for rolling a two, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

C.When viewing the data for rolling a four, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

D.When viewing the data for rolling a one, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.
***(NO LINKS AND ACTUALLY ANSWER)​***​

Answers

Answer:

A is your  answer

Step-by-step explanation:

The answer that is BEST supported by the data in the chart is A. When viewing the data for rolling a six, as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

What is Probability?

This refers to the likelihood of an event to occur when different independent and dependent variables are factored in.

Hence, from the given chart, we can see that it shows the results of Shelly after she rolls a six-sided number cube and the best answer that supports the data on the chart is that as the number of rolls increases, the experimental probability becomes closer to equal to the theoretical probability.

Read more about probability here:

https://brainly.com/question/24756209

#SPJ2

Rectangle A and Rectangle B are similar. Rectangle A has side lengths of 12 and 15. Rectangle B has a side length of 60. What are the possible values for the length of the other side of Rectangle B? Select all that apply.
24

30

48

75

Answers

24 nsbshananwbajabaga

Answer:

75

Step-by-step explanation:

since rectangle A with 12 moves to 60 meaning it was multiply by 5 so therefore we multiply the 15 by 5 giving 75

Expand and combine like terms.
(4b^2+ 3) (4b^2- 3) =

1
SEE ANSWER

Answers

Answer:

Step-by-step explanation:

(4b^2+3)(4b^2-3)

since it is the expanded form of formula a^2-b^2=(a+b)(a-b) we can write,

=(4b^2)^2-(3)^3

=16b^4-9

Consider a triangle ABC like the one below. Suppose that =C109°, =a46, and =b36. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

take 109 degree as reference angle

using sin rule

sin 109=opposite/hypotenuse

0.94=c/36

c=0.94*36

c=33.84

c=33.8

Plssssss helpppp meeee

Answers

Answer:

The paperclip measures 7.5 centimeters.

Step-by-step explanation:

Solve for x algebraically x/4 ≤ 6

Answers

Answer:

x ≤ 24

Step-by-step explanation:

x/4 ≤ 6

Multiply each side by 4

x/4 *4 ≤ 6*4

x ≤ 24

Answer:

[tex]x\leq 24[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

inez sells 24.8 acres of land for 22,568 what is the price per acre

Answers

Answer:

£910

Step-by-step explanation:

You have to divide the amount of acres by the overall price.

Hope this helped

Question 4 (1 point)
What is the area of a circle whose circumference is 28TT? Use 3.14 as the value of IT.

A. 1230.88 Square Units

B.615.44 Square Units

C.307.72 Square Unit

D.2461.76 Square Units

Answers

Answer:

B

Step-by-step explanation:

[tex]Circumference=2\pi r=28\pi \\2r=28\\r=14\\Area= \pi r^2=\pi 14^2=3.14*14^2=615.44[/tex]

PLEASE HELP. I NEED ASAP WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS

Ronald was given the pair of equations shown below, which are in slope-intercept form (y = mx + b):

y = 3x − 2
y = 5x − 6

Part A: Ronald does not know how to solve the system of equations. Help him by writing the slope (m) and y-intercept (b) for each equation, and in your own words, explain how you can solve the pair of equations graphically.

Part B: Now that you have helped get Ronald started, solve the system and write the solution to the pair of equations in (x, y) format so Ronald can check his work and answer.

Answers

Step-by-step explanation:

y = mx +b

m - the slope; b- y-intercept

therefore;

y = 3x - 4

m = 6; b = -4

y = 5x - 3

m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:

y = 6x - 4

y-intercept (0; -4)

for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3

y-intercept (0; -3)

for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

The coordinates of the vertices of BEA are B(1,2), E(-5,3), and A(-6,-3). Prove that BEA is isosceles. State the coordinates of point R such that quadrilateral BEAR is a square. Prove that your quadrilateral BEAR is a square.

Answers

Answer:

Step-by-step explanation:

New Note 2

Given coordinates:

B(1,2)

E(-5,3)

A(-6,3)

Part A, isosceles triangle

Need to find lengths of sides

BE^2 = ((-5-1)^2+(3-2)^2) = 36+1 = 37

BA^2 = ((-6-1)^2+(-3-2)^2) = 49+25 = 74

EA^2 = ((-6-(-5))^2+(-3-3)^2) = 1+ 36 = 37

Since BE^2 = EA^2, BE=EA, or triangle BEA is isosceles, with vertex at E.

Part B, find point R so that BEAR is a sqare

Need to show that the vertex angle, BEA is a right angle.

BA is diagonal and E is 90° if

BE^2 + EA^2 = BA^2

or

37+37 = 74

Hence angle BEA is right anglesd, and the two legs are eaual with length sqrt(37)

To find point R, we find the translation from point E to point B, i.e. from the vertex to end of one of the legs.

EB = B - E = (1-(-5))-(2-3) = <6,-1>

To find point R, apply this translation to the end of the other leg, i.e. point A,

R=A(-6,-3) + <6,-1>=R(0,-4)

Check:

RE (diagonal)^2 = ((0-(-5))^2+(-4-3)^2)  = 25+49 = 74 checks

RB^2 = ((0-1))^2+(-4-2)^2)  = 1+36 = 37 checks

RA^2 = ((0--(-6))^2+(-4-(-3))^2)  = 36+1 = 37 checks

Based on the pattern in the picture, how many squares do you think will be used to create the 5th figure? make a table.

Answers

Answer:

I think it is 7 squares.

Step-by-step explanation:

As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.

I need an Answer Immediately pls!!!!!!!!!

Answers

Answer:

2,033-993.50= 1039.50/74.25= 14

Step-by-step explanation:

not sure the exact equation but p would be 14 and you'd do something similar to that shown above

Maggie and jillian are both collecting postcards. Maggie has 4 times as many postcards as jillian. Maggie has 40 postcards.

How many postcards does jillian have?

Answers

Answer:

10

Step-by-step explanation:

braniyest pls

if y=4x what does m equal

Answers

Answer:

m equals 4

Step-by-step explanation:

m represents the slope of the line.

The line equation is y = mx + b, which means that m = 4 and b = 0

the difference between two positive Integers is 36 . the quotient, when one integer is divided by the other is 4 . find the two integers and solve explain​

Answers

Answer:

They are both even numbers and they both go into eachother at least once

Step-by-step explanation:

What is taxes? What is Texas' tax rate?

Answers

Taxes are extra expenses that the government gives to support the economy and the rest goes to the shop owner and the employees. Texas’ tax rate is 6.25%.

Solve the angle using trigonometry

Answers

Answer:

Step-by-step explanation:

Um angle T and R don't exist on this triangle. Only sides and Angles A B C.

But remember Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

S o/h    C a/h    T o/a

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