Find the equation of the line that has a slope of 2
and passes through the point (5, -8). Write the
equation in point-slope form.

Answers

Answer 1

Answer:

The equation in the point-slope form will be:

[tex]y-(-8) = 2 (x-5)[/tex]

Step-by-step explanation:

The point-slope form of an equation is written as:

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

where m is the slope, and (x₁, y₁) is a point on the line.

Now, we will substitute the values of m and (x1, y1) in the given equation. Here,

m=2

and

(x1, y1) = (5, -8)

x1 = 5

y1 = -8

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

[tex]y-(-8) = 2 (x-5)[/tex]

Therefore, the equation in the point-slope form will be:

[tex]y-(-8) = 2 (x-5)[/tex]


Related Questions


The ratio of boys to girls in math classes is 3.5. If there are 130 girls in these classes, how many boys must there be?

Answers

Answer:

Required Answer:-

The ratio of boys and girls =3:5

Let

Number of boys=3x

Number of girls =5x

According to the question Numbers of girls=130

[tex]{:}\longrightarrow[/tex][tex]\sf 5x=130 [/tex]

Now interchange both sides and get x

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {130}{5}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=26 [/tex]

Now

The number of boys=3x

=3×26=78

[tex]\therefore[/tex]Number of boys is 78.

Help!! Asap due soon

Answers

Answer: 3. (3,6,5)
Steps
did u get ur answer ?

Scrambled: Use all four of number
set to create the first number You
must use each number once, and you
can use any combination of the four
basic operations (1. - X. =).
7: 1,3,7,2

Answers

(3-2) = 1
7 * 1 * 1 = 7

Help ASAP please... I will mark Smartest

Answers

Answer:

The above one

The formula should be the same. most likely

Plz help asap with a explanation of why that’s the answer

Answers

Answer:

1st option

Step-by-step explanation:

y = 1/2x + 2

Answer:

the first one

remember. y=mx+b

mx= slope

b= y intercept

the slope is positive and the slope is rise over run. the y intercept is when the line the y axis (doesn't matter if it is negative or positive). this makes it a positive two

At the end of a snowstorm, Ethan had 11 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling. How much snow would Ethan have on his lawn after t hours of snow melting?

Answers

Answer: your formula is y=-1x+11

Step-by-step explanation: this is because the line decreases which means the slope is negative. 11 is the y-intercept.

Answer:

10 inches

Step-by-step explanation:

11 inches - 1 hour =10

If the common difference in an arithmetic sequence is 4, and the 20th term is 36, what is the first term?A.-40 B. 76 C. 40 D. 2​

Answers

Answer:

             A.  - 40

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\a_{20}=a_1+d(20-1)\\\\36=a_1+4\cdot19\\\\36=a_1+76\\\\a_1=36-76\\\\a_1=-40[/tex]

Your Turn Given the slope 8 and y-intercept 2 write the
equation of the line.
y =

Answers

Answer:

y = 8x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 8 and c = 2 , thus

y = 8x + 2 ← equation of line

Answer: Y= 8x + 2

The number for slope always has a x following it and the y intercept is 2 and because its a positive 2 , you add the 2.

15x + 5y = 20 y = 8 - 3x​

Answers

Answer:

Step-by-step explanation:

15x+5y=8-3x

18x+5y=8⇒eqn 1

15x+5y=20y

15x-15y=0⇒eqn 2

eqn 1 * 3

 54x + 15y=24⇒eqn 3

eqn 3 + eqn 2

69x=24

x=24/69=0.3478

eqn  1⇒

    5y=8-18(24/69)

     y=1.7391/5

     y=0.3478

The solution to the system of equations is (10/3, -2).

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equations are 15x + 5y = 20 and y = 8-3x.

15x + 15y = 20

Substitute y = 8-3x into the above equation:

15x + 15(8-3x) = 20

15x + 120 - 45x = 20

45x - 15x = 120 - 20

30x = 100

x = 10/3

Substitute x = 10/3 in y = 8 - 3x:

y = 8 - 3 (10/3)

y = 8 - 10

y = -2

Hence, the solution to the system of equations is (10/3, -2).

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A student solves the following equation and determines that the solution is −2. Is the student correct? Explain.

3/a + 2 − 6a/a2 − 4 = 1/a − 2

Answers

Answer:

No, the student did not check the solution to the derived equation in the original equation.

No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.

No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.

Step-by-step explanation:

just did on edge good luck!

The student is wrong in his answer to the equation

3/a + 2 − 6a/2a − 4 = 1/a − 2 is - 2, the correct answer is 2/3.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, 3/a + 2 − 6a/2a − 4 = 1/a − 2.

3/a + 2 - 3 - 4 = 1/a - 2.

3/a - 1/a = 3.

2/a = 3.

a/2 = 1/3.

a = 2/3.

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The spoke of a wheel is 35 cm. How far does the wheel travel in 1 rotation. Give your answer in meters and use pi = 22/7.

Answers

Answer:

2.2 m

Step-by-step explanation:

Assuming that spoke refers to the radius (r) of the wheel, you can determine the circumference of the wheel using 2(pi)(r).

2 x (22/7) x 35cm

= 220cm

As this answer is in cm, it needs to be converted to m to be a correct answer. As 1m = 100cm, 220cm x 0.01 = 2.2m

MATH HELP ASAP! MARKING BRIANLISTT!! INEQUALITYS

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Arrow shows to the right which means all numbers equal to 18 and greater than 18

The value of y varies directly with x. If x = 4, then y = 20.

What is the value of x when y = 60?


5

7

12

44

Answers

Answer:

12

Step-by-step explanation:

[tex]\frac{60}{20}[/tex] = 3, so if it varies directly with x then its 4 x 3 which is 12

Answer:

12

Step-by-step explanation:

I took the test thats the correct answer

Maria wants to buy a new couch that costs $850. She already has $250 in her piggy
bank and she is going to put away $40 per week. How long will it take for her to have
enough money to buy the couch?

Answers

Answer:

15 weeks

Step-by-step explanation:

850-250= 600

40*15= 600

Need answer ASAP will give brainliest check out the picture the answrs: 2, 65, 69, 60, 120, 89, and 30

Answers

I think it is 120

The total of the shape is 180 so it telling us to take away 1/3 of it so 60 away from 180 is 120

what is 6.2 divieded by 52.08

Answers

Answer:

5/42=0.11904762

Step-by-step explanation:

convert to fraction

31/5 divided by 1302/25

do the reciprocal

31/5 x 25/1302

reduce the numbers with the greatest common facter 5

31 x 5/1302

reduce the numbers with the greatest common factor 31

5/42

turn into decimal

5/42=0.11904762

what is 90% written as a decimal​

Answers

Answer:

.9

Step-by-step explanation:

Answer:

.9

Step-by-step explanation:

I don't understand this math problem​

Answers

Answer:

x = 4

Step-by-step explanation:

3(2x + 5) = 39

Distribute;

6x + 15 = 39

Subtract 15 from both sides;

6x = 24

Divide both sides by 6;

x = 4

Why is Np=Op
Reflective property
Definition of right angle
Cpctc
Definition of perpendicular bisetor
Symetric property

Answers

Answer:

definition of perpendicular bisector

Step-by-step explanation:

You need to show the entire problem including the given.

I assume the given info states that

Segment MP is the perpendicular bisector of segment NO.

If that's the case, then the reason for lengths NP and OP being equal is

"definition of perpendicular bisector"

In a library where the ratio of men to women is 1 to 1, _____ of the total members are men.

Answers

Answer:

half

Step-by-step explanation:

if one out of every two people is a man then half

I am really confused help please????

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

Its C because think about it

Step-by-step explanation:

use prime factors to find hcf of 18 12 56​

Answers

Answer:

2 to the power of six times 3 cubed times seven.

Step-by-step explanation:

The prime factors of 56 are 2 cubed times 7 and the prime factors of 18 are 2 times 3 squared The prime factors of 12 are 2 squared times 3.

A factor is a number that divides another number, leaving no remainder

The highest common factor of 18, 12, and 56 using prime factors is 2.

What is a factor?

A factor is a number that divides another number, leaving no remainder

Example: 12 = 4 x 3 where 4 and 3 are the factors of 12.

We have,

18, 12, and 56

The factors of each number are:

18 = 2 x 9, 3 x 6, 18 x 1

So the factors of 18 are 2, 3, 6, 9, and 18.

12 = 2 x 6, 3 x 4, 12 x 1

So the factors of 12 are 2, 3, 4, 6, and 12.

56 = 2 x 28, 4 x 14, 7 x 8, 14 x 4

So the factors of 56 are 2, 4, 7, 8, 14, and 28.

Thus,

The highest common factor of 18, 12, and 56 using prime factors is 2.

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Solve the following inequality.

8(x+5)≥0

x≤5

x≤−5

x≥−5

x≥5

Answers

Answer:

the third one

Step-by-step explanation:

8x + 40 ≥ 0

8x ≥ -40

x ≥ -5

You are measuring temperature using a thermometer that gives degrees in Fahrenheit. You want to know what the temperature is in degrees Celsius. This formula converts temperatures from degrees Celsius to degrees Fahrenheit: F = 9/5 C + 32. Rewrite this formula to convert Fahrenheit to Celsius. In your answer, use fractions instead of decimal numbers.

Answers

Answer:

C = 5/9(F - 32)

Step-by-step explanation:

Given:

F = 9/5 C + 32

Convert Fahrenheit to Celsius:

Computation:

F = 9/5 C + 32

F - 32 = 9/5 C

5[F - 32] = 9C

C = 5/9(F - 32)

what’s the slope of (1,18) and (9,9)

Answers

Answer:

-9/8

Step-by-step explanation:

m=y2-y1/x2-x1

9-18=(-9)

9-1=8

-9/8

hope this helps :3

if it did pls mark brainliest

Answer:

Step-by-step explanation:

(x₁, y₁ )  = (1 , 18 )          &   (x₂ , y₂) = ( 9 , 9)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x-{1}}\\\\[/tex]

        [tex]= \frac{9 - 18}{9 - 1}\\\\\\= \frac{-9}{8}\\[/tex]

Use the algebra tiles tool to model the equation
5x + (–6) = 6x + 4. What is needed to model the equation? Check all that apply.
- 5 negative x-tiles on the left
- 6 positive x-tiles on the right
- 4 positive unit tiles on the right
- 6 negative x-tiles on the right
- 6 negative unit tiles on the left

Answers

Answer:b,c,e

Step-by-step explanation:

I got it on edg 2020

Answer:

B C D

Step-by-step explanation:

Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5
Please help.

Answers

First find the negative reciprocal of the gradient since its perpendicular, -4
Then you substitute the new gradient and the coordinates of the point into the eq’n of a line
2=-4(0)+c
2=c
Then the substitute the new gradient and the y intercept into the line eq’n
Answer
Y=-4x+2

Vivi is a drummer for a band. She burns 756756756 calories while drumming for 333 hours. She burns the same number of calories each hour.How many calories does Vivi burn per hour?

Answers

Answer:

2,272,542.81

Step-by-step explanation:

756756756/333=2,272,542.81

Which of the following describe 2/7

Answers

Answer:

Is there any answer choices?

Step-by-step explanation:

Where are the answer choices?

Ali has $50 to spend on used books. Hardcover books cost $7 and paperback books cost $3 each. What equation in standard form determines the
number x of hardcover books and the number y of paperback books he can buy?
The equation in standard form is

Asap plz

Answers

Here is the equation in standard form :)
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