what is an equation of the line that passes through the points (3, 4) and (-4, -3)?

Answers

Answer 1
Y=Mx+c
Mx=y2-y1/x2-x1
Mx=-3-4/-4-3=1

Mx=1

Y=x+c (now pick and replace one of the points to find c which the y-intercept)

3=4+c
C=-1

Final answer = y=x-1

I really hope you understand my explanation and if you can give me a brainliest, I would really appreciate it!!
Answer 2

Answer:

y = x + 1

Step-by-step explanation:

Equation of line : y = mx + b, m = slope, b = y intercept

Find slope, m

[tex]Slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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

Equation of line : [tex](x_1, y_1) = ( 3, 4 )[/tex]

[ You can choose any set of points from the given points. ]

                 [tex](y - y_1) = m(x - x_1)[/tex]

                 [tex](y - 4 ) = 1 \times ( x - 3)\\\\y - 4 = x - 3\\\\y = x - 3 + 4 \\\\y = x + 1[/tex]


Related Questions

What is the answer to the question, 5(x+2) = 11?

Answers

Answer:

Solution given:

5(x+2) = 11

dividing both side by 5

5(x+2)/5=11/5

x+2=11/5

subtracting both side by 2

x+2-2=11/5-2

x=11/5-2

x={11-2*5}/5[taking l.c m

x={11-10}/5

x=1/5

x=1/5is a required answer.

The First Super Bowl was in what Year-
A. 1957
B. 1967
C. 1969
D. 2000

Answers

Answer:

B, 1967.

Step-by-step explanation:

Hope this helps.

Can someone help me pls

Answers

Answer:

Choice C (the third option)

Step-by-step explanation:

[tex](a+b)(a+b) = a^2+2ab+b^2[/tex]

Choice C is incorrect because it is missing the [tex]2ab[/tex]. Hope this helped!

Find the solutions to x^2= 18.

Answers

Answer: B

Step-by-step explanation: You are correct!

write the sum of MC and CD in Hindu Arabic​

Answers

Answer:

CD = 400. CD = − C (100) + D (500) = 400. 1 = I 5 = V 10 = X 100 = C 500 = D 1,000 = M.

MC is writen as 1100 in Arabic numerals.

Step-by-step explanation:

DUE TOMRROW IF NASWERED PROPERLY ILL GIVE BRAINIEST AND 50 POINTS IN ANEW QUESTION ONLY ANSwERED PROPERLY

Answers

Answer:

11.   a.  yes  b.   no

12.  i.  yes  ii.  yes  

13.  a. 31/35  b. 1 5/9  c. 1/30  d.  1/15

Step-by-step explanation:

11. add them

12. estimate

13. add or subtract

Can someone help
Me solve the rest of this please

Answers

Answer:

Step-by-step explanation:

write an equation then find the angle measure for A. 25 points and brainliest.

Answers

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4 + 3x + 3x + 14 + 90 = 180 , simplify left side

108 + 6x = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

Then

∠ A = 4 + 3x = 4 + 3(12) = 4 + 36 = 40° → A

which number is addtive inverse of 5

Answers

Answer:

-5

Step-by-step explanation:

Additive inverse is basically the opposite of the given number. So the additive inverse of 5 is -5.

Hope this will help. Please mark me brainliest.

Answer:

- 5

Step-by-step explanation:

The additive inverse is the number added to 5 to give zero, that is

5 + (- 5) = 5 - 5 = 0

Additive inverse is - 5

Someone please help me thank you

Answers

Answer:

4

Step-by-step explanation:

7x = x² - 8

=> x² - 7x - 8 = 0

use quadratic formula:

a = 1, b = -7, c = -8

x = [tex]\frac{-(1)±\sqrt{(-7)^{2} - 4(1)(-8) } }{2(1)}[/tex] (pls ignore the "A" I don't know why it's showing up)

=> x = [tex]\frac{-1±\sqrt{49 + 32} }{2}[/tex]

=> x = [tex]\frac{-1±9 }{2}[/tex]

=> x = [tex]\frac{-1 +9}{2}[/tex] = 4 or [tex]\frac{-1-9}{2}[/tex] = -5 (the answer is only 4 since it's asking for the positive solution)

4 is the answer to the problem

What is the first step when finding the volume of a pyramid?
A. find the area of lateral faces. B. fine the area of the base. C. find the area of the entire pyramid. D. fine the perimeter of the base
WILL GIVE BRAINLIEST PLZ HELP

Answers

Answer:

B

Step-by-step explanation:

If you find area of base then you can multiply by height and divide by 3. So first find the area of the base

in a 3-digit number, the hunderds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sun of the digits is 11, find the number

Answers

Answer:362

Step-by-step explanation:

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?
37
97
101
132

Answers

Answer:

A

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2+1\text{ and } g(x)=x-4[/tex]

And we want to find:

[tex](f\circ g)(10)[/tex]

This is equivalent to:

[tex]=f(g(10))[/tex]

Find g(10) first:

[tex]g(10)=(10)-4=6[/tex]

Substitute:

[tex]f(g(10))=f(6)[/tex]

Evaluate f(6):

[tex]f(6)=(6)^2+1=37[/tex]

Therefore:

[tex](f\circ g)(10)=37[/tex]

Our answer is A.

Answer:

Step-by-step explanation: 37

PLEASE HELP!! i’m so confused.

Answers

Answer:

[A] -0.5

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)FunctionsFunction Notation

Algebra II

Piecewise Functions

Calculus

Limits

Graphical Limits

Discontinuities

Removable (Hole) Jump Infinite (Asymptote)

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left \{ {{-1 - x, \ x \neq 2} \atop {8, \ x = 2}} \right.[/tex]

[tex]\displaystyle \lim_{x \to -0.5} f(x)[/tex]

Step 2: Solve

According to the graph, we see that when we approach x = -0.5 of the function f(x), we land on y = -0.5.

The function value at x = 2 would equal 8, but the limit as x approaches -0.5 would not approach the function value, but approach the hole in the function.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

Find the measure of x and y ?

Answers

Answer:

x = 28

y = 47

Step-by-step explanation:

40 + 5x = 180 since it forms a straight line

5x = 180-40

5x = 140

Divide by 5

5x/5 = 140/5

x =28

3y-1 = 5x  since they are alternate exterior angles

3y-1 = 140

Add 1

3y = 141

3y/3 = 141/3

y = 47

Can you help me with question 4 step by step

Answers

Answer:

exponetial growth; y-0.25

Answer:

the second option

Step-by-step explanation:

6(0.25)* 1 = 1.5 if x equals 1

6(0.25) * 2= 3 if x equals 2

What is the slope?
A. 1/2
B.2
C.-1/2
D.-2

Answers

-1/2 is the slope “rise over run “

A town has a population of 5600 in 2014. If the towns population increases at an annual rate of 1.8%, determine the towns population in 2020. *

Answers

Answer:

In 2020 the population will be 6,233.

Step-by-step explanation:

Giving the following information:

Present value (PV)= 5,600

Growth rate (g)= 1.8%

Number of periods= 6 years

To calculate the population in 2020, we need to use the following formula:

FV= PV*(1 + g)^n

FV= 5,600*(1.018^6)

FV= 6,232.67 = 6,233

In 2020 the population will be 6,233.

18x - 432 - 18x - 6x² +144

Answers

Answer:

-6x^2-288

Step-by-step explanation:

18x - 432 - 18x - 6x² +144

Combine like terms

-6x^2+18x-18x-432+144

-6x^2-288

A rectangle is 19 inches long and 6 inches wide. Find its area

Answers

Answer:

25 or 114.   I think it's 114

Step-by-step explanation:

Answer:

Area of a rectangle = length × width

A= L×W

= 19×6

= 114

Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice?

Answers

Answer:

9

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

b^2 - b - 72 = 0

factors of -72b^2 that add up to - b are -9b + 8b

b^2 + 8b -9b - 72

b (b + 8) -9(b + 8)

b = 9 or - 8

b = 9

James is using cement to make a new sidewalk and new steps.
Part A
He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.
What is the volume, in cubic feet, of the cement used to make the sidewalk? Show or explain all of the steps you used to determine your answer.

Part B
This diagram shows James’s design for the steps. The height of each step will be 6 inches. All angles in the diagram are right angles.
I need it now please!

Answers

The volume, of the cement used to make the sidewalk is 8 ft³

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given that, James is using cement to make a new sidewalk and new steps,

He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.

Volume = length x width x height

Volume = 8 x 4 x 0.25 = 8 ft³

Hence, the volume, of the cement used to make the sidewalk is 8 ft³

Learn more about volumes, click;

https://brainly.com/question/1578538

#SPJ1

calcula la longitud de la variable "x"​​

Answers

Answer:

La longitud de [tex]x[/tex] es [tex]5\sqrt{2}[/tex] unidades.

Step-by-step explanation:

La figura es un cuadrado atravesado por una diagonal, significando que existen dos triángulos rectángulos, cuyos ángulos interiores son 45°, 45° y 90°, respectivamente. Por Geometría Euclideana, tenemos que la longitud de la hipotenusa es igual a [tex]\sqrt{2}[/tex] veces la longitud de cualquiera de sus catetos:

[tex]x = \frac{10}{\sqrt{2}}[/tex]

[tex]x = 5\sqrt{2}[/tex]

La longitud de [tex]x[/tex] es [tex]5\sqrt{2}[/tex] unidades.

8/3+(-9/4)=? ......................

Answers

Answer:

5/12

Step-by-step explanation:

make common denominater which is twelve 8 becomes 24 -9 becomes -21

Answer:

5/12

because we first need to find the equal denominator

The faces on a number cube are labled 1,2,2,3,4, and 5the number cube is rolled 114 times how many times would you expect the number 2 to apper

Answers

Given:

The faces on a number cube are labeled 1,2,2,3,4, and 5.

The number cube is rolled 114 times.

To find:

How many times would you expect the number 2 to appear?

Solution:

We have,

Total outcomes = 1,2,2,3,4, and 5.

Number of total outcomes = 6

Favorable outcomes = 2 and 2

Number of favorable outcomes = 2

The probability of getting 2 is:

[tex]P(2)=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]

[tex]P(2)=\dfrac{2}{6}[/tex]

[tex]P(2)=\dfrac{1}{3}[/tex]

Now, the expected number of times when 2 to appear is:

[tex]E(x)=114\times P(2)[/tex]

[tex]E(x)=114\times \dfrac{1}{3}[/tex]

[tex]E(x)=38[/tex]

Therefore, the expected number of times is 38.

The product of -12 and a number is 60

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

The result is positive, so you know the number must be negative. What two numbers normally make 60? That would be 5 and 12, but since the 12 is negative (-12), that means the 5 must be negative (-5). So, the answer is -5.

4. A rental car costs a one time fee of $180 and then an additional $65 for each day it is
rented. If the Neddles family's total bill was $520, how many days did they rent the car?

Answers

Answer:

5.23 =d

Step-by-step explanation:

cost = fee + daily charge*days

520 = 180+ 65d

Subtract 180

520 -180 = 180+65f-180

340 = 65d

Divide by 65

340/65 = 65d/65

5.23 =d

Marcy is taking part in a summer movie club. She will earn 3 points for each movie she attends throughout the summer. Which equation represents the relationship between y, the total points, and x the number of movies?

a
\large y=3x

b
\large y=3+x

c
\large x=3y

d
\large x=y+3

Answers

the answer is a \large y=3x

Find the value of x in the picture below. (Figure is not drawn to scale)

Answers

Your answer is going to be by d ande

Which value(s) from the set {5, 7, 9, 11, 13} make the inequality w = 4 < 8 true?
{11, 13}
{13}
{5, 7, 9}
{5, 7, 9, 11}

Answers

Question

Which value(s) from the set {5, 7, 9, 11, 13} make the inequality w = 4 < 8 true?

Answer{5, 7, 9, 11}----------------------

hope it helps...

have a great day!!

Answer:

{5, 7, 9, 11}

Step-by-step explanation:

cuz you subtracting 4 and making inequality anyway bye

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