What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form

Answers

Answer 1

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

The equation of the line is y = m x + b, where

m is the slope of the lineb is the y-intercept

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ The line passes through points (3, 4) and (-4, -3)

∴ x1 = 3 and y1 = 4

∴ x2 = -4 and y = -3

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1

m = 1

→ Substitute it in the form of the equation above

∴ y = 1(x) + b

y = x + b

→ To find b substitute x by 3 and y by 4 in the equation

∵ 4 = 3 + b

→ Subtract 3 from both sides

∵ 4 - 3 = 3 - 3 + b

1 = b

→ Substitute it in the equation

y = x + 1

The equation of the line is y = x + 1


Related Questions

Plot the image of Point Q under the translation (x,y) (x-3, y + 4)

Answers

Answer:

(0, 3)

Step-by-step explanation:

Subtract 3 units from the X-coordinate

Add 4 units from the Y-coordinate

I thought a bleep who lost the baddest bleep said sum

Answers

Answer:

i did say something boo boo

Step-by-step explanation:

Answer:

They did, I believe bleep's last words were "One day all this will fade away."

Step-by-step explanation:

May I have brainliest please? :)

Ahmed recorded the temperature outside his window one morning. On the second day, the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees. On the fourth day, the temperature went down 6 degrees, and it was 1°F.What was the temperature on the first day?

Answers

Answer:

[tex]-2^{\circ}\text{F}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the temperature on the first day

Second day temperature

[tex]x+7[/tex]

Third day temperature

[tex]x+7-10[/tex]

Fourth day temperature was [tex]1^{\circ}\text{F}[/tex]

[tex]x+7-10+6=1\\\Rightarrow x+3=1\\\Rightarrow x=1-3\\\Rightarrow x=-2^{\circ}\text{F}[/tex]

On the first day the temperature was [tex]-2^{\circ}\text{F}[/tex]

geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!

Answers

Answer:

Bro just complete your project. That's just plagiarism.

Step-by-step explanation:

Sorry but the teacher WILL notice.

Need Help Asap! Thank you!

Answers

The answer should be option C, the one with the the graph labeled G.

Help!! Will give the amazing crown!!

Answers

Answer:

[tex] - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78[/tex]

Step-by-step explanation:

There you go, have a good day

ASAP please i need helppp

Answers

HAHAHHAH UR IN EXAM can I answer now?
I think it’s the first one

Simplify the expression:

m - 1/6 - 4m + 5/6

Answers

Answer:

-3m+2/3.     2/3 is a fraction

Step-by-step explanation:

Two sisters bought together 14 books. One bought 9 books. Which of the following equation represent the number of books bought by the other sister (x)?

Answers

Answer:

9+x=14

Step-by-step explanation:

The x represents the other sister and all the books together would equal 14. The other sister got 5 books!

The equation that represents the number of books bought by the other sister is x + 9 = 14.

Here, we have,

given that,

Two sisters bought together 14 books. One bought 9 books.

To represent the number of books bought by the other sister (x) given that the two sisters bought together 14 books and one sister bought 9 books, we can use the equation:

x + 9 = 14

In this equation, x represents the number of books bought by the other sister.

The equation states that the sum of the number of books bought by the other sister (x) and the sister who bought 9 books is equal to the total number of books bought together, which is 14.

Therefore, the equation that represents the number of books bought by the other sister is x + 9 = 14.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ2

9x + 11 = 110
what is x ?

Answers

Answer:

x = 11, lucky you, this stuff is easy

Step-by-step explanation:

110 - 11 = 99

9 x 11 = 99

99 + 11 = 110

Answer:

x = 11

Step-by-step explanation:

9x + 11 = 110

- Pass the 11 to the other side of the equation (grouping similar terms) and then perform the following operation:

9x = 110 - 11

9x = 99

- Now we have to obtain x by dividing 9 on both sides of the equation:

(9/9)x = 99/9

x = 99/9, which is divisible by 11.

could somebody helppp meee pleaseeeeee

Answers

Answer:

(6-4)=2

2*49 . 7

91 . 7

13

14

:  

(6-4) = 2

2 x 49 = 98 / 7 = 14

( "/" means divide )

the question is “ for which point is the y coordinate greater than -3? choose all answers that apply

Answers

Answer:

It would be A, C, and D.

Step-by-step explanation:

What is m∠A?

m∠A =
A. 66
B. 57
C. 113

Answers

Answer:

m∠A =

A. 66°

Step-by-step explanation:

∠C = ∠B

57 + 57 = 114

∠A = 180 - 114 = 66

b The lines are translations of each other
The lines are reflections of each other
d They have the same y-intercept
e a
Both lines have a positive slope.
с

Answers

Answer:

A, B, E

Step-by-step explanation:

The slope is the same (1/4x)

it is a translation given the y intercept moved it 5 units

they are both positive

Buddy and his team have been asked by NASA to make a space shuttle cake (a scale model shaped like the one to the left) for a fundraising event. The original space shuttle has a height of 184 ft and a wingspan of 78 ft. Buddy and his team decide to construct the cake on-site so that they do not have to worry about transporting it. Buddy decides to make a cake with a wingspan of 10 ft and asks one of his decorators, Ivette, to calculate the height of the cake. Ivette decides that the cake should be approximately 4 ft tall.

Answers

Answer:

Ivette is wrong and by a lot. The spaceship should be 23.59 feet high

Step-by-step explanation:

The relationship between the spaceship's height and width = 184 feet : 78 feet ≈ 92 : 39 ≈ 9.2 : 3.9. This means that for every 3.9 feet wide, the cake should be 9.2 feet high.

In this case, the spaceship is 10 feet wide, so it should be (10 / 3.9) x 9.2 =  23.59 feet high.

When you make scale drawings or scale cakes, you must keep the same proportions as the original model.

Please help!!
What is the solution to 2x^2+x+2=0?

Answers

Answer:

your 3rd option

Step-by-step explanation:

[tex]\frac{-1+/-\sqrt{1-4(2)(2} )}{2(2)}[/tex]

[tex]{\frac{-1+/-\sqrt{1-16} }{4}}[/tex]

[tex]{\frac{-1+/-\sqrt{-15} }{4}}[/tex]

[tex]{\frac{-1+/-i\sqrt{15} }{4}}[/tex]

a hexagon has interior angles the measure 127, 85, 121, 135, and 139 find the measure of the remaining angle.
Please help i need ths asap

Answers

Answer:

113º

(pls mark brainliest if possible)

Step-by-step explanation:

Hexagon has sum of interior angles as 720º

127+85+121+135+139+x=720

607+x = 720

x= 113º

anyone her watch technoblade


1+1

Answers

Answer:

Yes.

Also, 1 + 1 = 2

Also:

Someday, I will beat him. He is revealing all of his secrets in his U-Toob videos, the fool, the moron.

Answer:

yes technoblade never dies

1+1=2

Find the equivalent function of sin(180+x)

Answers

Answer:

The equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]

i.e.

[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]

Step-by-step explanation:

Considering the function

[tex]sin\left(180^{\circ }+x\right)[/tex]

Solving

[tex]sin\left(180^{\circ }+x\right)[/tex]

Using the angle sum identity:

[tex]\sin \left(s+t\right)=\sin \left(s\right)\cos \left(t\right)+\cos \left(s\right)\sin \left(t\right)[/tex]

[tex]=\sin \left(180^{\circ \:}\right)\cos \left(x\right)+\cos \left(180^{\circ \:}\right)\sin \left(x\right)[/tex]

as

[tex]\cos \left(180^{\circ \:}\right)=\left(-1\right)[/tex]

[tex]\sin \left(180^{\circ \:}\right)=0[/tex]

so

[tex]=0\cdot \:\cos \:\left(x\right)+\left(-1\right)\cdot \:\sin \:\left(x\right)[/tex]

[tex]=0\cdot \cos \left(x\right)-1\cdot \sin \left(x\right)[/tex]

[tex]=0-1\cdot \sin \left(x\right)[/tex]

[tex]=0-\sin \left(x\right)[/tex]

[tex]=-\sin \left(x\right)[/tex]

So, the equivalent function of [tex]sin\left(180^{\circ }+x\right)[/tex] will be: [tex]-\sin \left(x\right)[/tex]

Therefore:

[tex]\sin \left(180^{\circ \:}+x\right)=-\sin \left(x\right)[/tex]

5.8(20-3x)=


please this is timed i need help!

Answers

Answer:

Step-by-step explanation:

5.8(20−3x)

=(5.8)(20+−3x)

=(5.8)(20)+(5.8)(−3x)

=116−17.4x

=−17.4x+116

PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!
If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.

Answers

Answer:

7

Step-by-step explanation:

Which expression is equivalent to (x2+3x−5)− (4x2+3x−6)
PLEASE HURRY>>>>
A. 5x2+6x−11

B. −3x2+1

C. −3x2+1

D. −3x4+6x2+1

Answers

Answer:

B

Step-by-step explanation:

Given

x² + 3x - 5 - (4x² + 3x - 6) ← distribute parenthesis by - 1

= x² + 3x - 5 - 4x² - 3x + 6 ← collect like terms

= - 3x² + 1 → B

When I bought my car it was $25,000. My car’s value is now $11,000. What percentage is my car now from its original price?

Answers

Answer:

56% should be the answer

Write an equation of the line parallel to given that contains C(6,-2);=-3/2x+6

Please answer this asap

Answers

Answer:

3/-2-2

Step-by-step explanation:

this should be parrallel

Help me asap
The hanger image below represents a balanced equation. Write an equation to represent the image.

Answers

Answer:

1/5 + 2/5 = 3/5

Step-by-step explanation:

your welcome

Answer:

1/5+z=3/5

Step-by-step explanation:

A scientist used 786 milliliters of an liquid for an experiment. How many liquids of liter did the scientist to use for this experiment?

Answers

Answer:

0.786 L

Step-by-step explanation:

1000 ml to 1 L

(786 ml) / (1000 ml) = 0.786 L

0.786 L liquids of liter did the scientist to use for this experiment

What is division?

Division is the process of splitting a number or an amount into equal parts.

here, we have,

A scientist used 786 milliliters of an liquid for an experiment.

we know,

1000 ml to 1 L

so, we get,

(786 ml) / (1000 ml) = 0.786 L

Hence, 0.786 L liquids of liter did the scientist to use for this experiment.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

Find X if m/angle UVY=84 degrees.

Answers

Answer:

x = 42º

Step-by-step explanation:

We know that m < UVY is equal to 84º (Given)

We know that < UVY = < SVW (Vertical Angles Theorem)

By substituting in the known values for the anges, we know that:

< UVY = < SVW

84º = 2x

Simplify the equation by dividing by 2 on both sides.

x = 42º

Hope this helps! Let me know if you have any questions!

Solution given:

<UVY=2x[vertically oppisite anglle]

x=84/2=42° is your answer

Solve the system of equations below.
y=3x
2x + y = 15

Answers

Answer:

x=3

Step-by-step explanation:

2x+(3x)=15

5x=15

x=3

solving for y:

3(3)=9

y=9

Answer:

(y,x) (9,3)

Step-by-step explanation


These two triangles are similar what is the measure of angle M?

Answers

Answer:

30

Step-by-step explanation:

We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:

180=102+48+m

180=150+m

30=m

Answer:

A. 30 degrees

Step-by-step explanation:

They are similar aka the same or congruent and since you know all three angles you just match them up.

Aidan had 13 tropical fish and gave 8 of them to his brother then Aidan bought 6 more from the pet store each fish cost $9.45 how many fish does Aidan have now

Answers

Answer:

11 fishes

Step-by-step explanation:

Answer:27

Step-by-step explanation: add all the answers

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