Write an equation in point-slope form of the line that passes through the point (2,1) and has a slope of 2

Answers

Answer 1

Answer:

y-1=2(x-2)

Step-by-step explanation:

Since the slope is 2, that number is multiplied by x. Then the y subtracts the x value point and the x subtracts the y.

Answer 2

An equation in point-slope form of the line that passes through the point (2,1) and has a slope of 2 is y=2x-3.

Given that, the coordinate point is (2, 1) and slope m = 2.

What is an equation in point-slope form?

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The standard form of the slope intercept form is y=mx+b.

Put (x, y) = (2, 1) and m = 2 in y=mx+b and solve for b.

That is, 1=2(2)+b

⇒ b = -3

Now, substitute m = 2 and b = - 3.

So, y=2x-3

Therefore, an equation in point-slope form of the line that passes through the point (2,1) and has a slope of 2 is y=2x-3.

To learn more about the slope intercept form visit:

https://brainly.com/question/9682526.

#SPJ2


Related Questions

HELP

Which of the c-values are solutions to both of the following inequalities?
1< and 2 < 13
Choose all answers that apply:
2=0
= 2
2= 14

Answers

Answer:B.x = 2

because 1 < x < 13 => x ≠ {0;14}

Step-by-step explanation:

can you help me solve this question? ​

Answers

The y- intercept is 4. M= 2/3

The y intercept is 4. M=2/3

Help I need this answer?

Answers

Answer:

A,C,E

Step-by-step explanation:

Which ratio is equivalent to 4:5?
10
15
4
10
O O
16
20
15

Answers

Answer:

15

Step-by-step explanation:

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths

Answers

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

Find the ratio between 450 ml and 1l.​

Answers

Answer:

450mL : 1L   =    9 : 20

Step-by-step explanation:

recall that 1L = 1000 mL,

450 mL : 1L  can be expressed as

450mL : 1000 mL   (we can simplify this with the following steps)

450 : 1000     (divide both sides by 10)

45 : 100  (divide both sides by 5)

9 : 20  (answer)

Please hurry and answer!

Answers

Answer:

B=-2

Step-by-step explanation:

B=2 because 5-3 equals 2

Which equation represents a proportional relationship?

A. y = x + 1
B. y = 3x + 3
C. y = 4x
D. y = 8 + x

Answers

Answer:   C. y=4x

Step-by-step explanation:

Proportional relationship means that the line will be going through the origin, meaning that if the x coordinate is 0, then y has to also equal to 0. Also another way to determine a proportional relationship is by identifying the slope and y intercept. If the line has a y-intercept then it is not proportional because it will not be going through the origin.

y = 4x  Input 0  for x and y.

0 = 4(0)  

0 = 0  

This makes the statement true because if x is 0 then y is also 0.

the answer is C. y=4x

What are the coordinates of the midpoint of AB IF A (6,4) and B (-8,8)

Answers

Answer:

-I haven't done this, but I have copied and pasted from another question and answer from the user syed514:

Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.

If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.

Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.

Solving for the coordinates gives x2 = 10, y2 = 13

A city doubles its size every 79 years. If the population is currently 200,000 what will the population be in 316 years?

Answers

Answer:

800,000

Step-by-step explanation:

316÷79=4

we do 4×200,000 to find the answer.

PLEASE HELP ALGEBRA 2!!!

Answers

Answer:

[tex]y=-4x^{2} +7x+6\\[/tex]

Step-by-step explanation:

[tex]y=ax^{2} +bx+c\\[/tex]

Points are (1,9), (2,4), and (4,-30).

[tex]\\9=a+b+c\\4=4a+2b+c\\-30=16a+4b+c\\[/tex]

Subtract the first from the second.

-5 = 3a+b

Subtract 4 times the second from the third.

-34=12a+2b

-14=-2b

b=7

a=-4

c=6

Angle BLK is congruent to Angle ___. Why?

Answers

Is congruent to angle ACK

Josselin downloaded 84 pictures from her cell phone to her computer. Theses pictures took up 420 megabytes of space on her computer. Each picture took same amount of space. How many megabytes do 15 of these pictures take up? ​

Answers

Answer:

75 check the explanation to understand the answer

Step-by-step explanation:

420:85=5

15*5=75

Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?

3%
4%
6%
7%

Answers

Answer:

About 3%

Step-by-step explanation:

3% of $167,000 is $5,010

5010 times the 20 years is 100200 add that to the 167000 and you get $267,200

The actual answer is about 2.4% but 3% is the closest.

100 points---> true or false. my name is grace, my favorite sports are football and softball, and I'm a left handed utility player

Answers

Answer:

true

Step-by-step explanation:

I haven't a clue on what is going on here but I will act like I do

Answer:

I will say true

Step-by-step explanation:

Thanks for free points

2/3y + 3/4 = 8/9

help

Answers

Answer:

y = 5/24

Step-by-step explanation:

2/3 = 24/36

3/4 = 27/36

8/9 = 32/36

32-27 = 5

5/36 / 2/3 = 15/72 = 5/24

Answer:y=5/13

Step-by-step explanation:

8/9-3/4 is 5/36

divide by 2/3 is

Plz Help ASAP!!
What is the y-intercept of the line that contains the point (3, –2) and is perpendicular to the line y = – 2/5 x + 3/5?

Answers

Y = 5/2x because the A value need to be the opposite reciprocal for a perpendicular line you then plug the point you are given into our new EQ which equals -2=(5/2)(3) + b (solving for b) and you get b = -9.5 so your new equation is y = 5/2x - 9.5 making your Y int -9.5

You throw your ball into the air from a height of 4.2?

Answers

You throw your ball into the air from a height of 4.2 feet with an initial vertical velocity of 24 feet per second. Use the vertical motion model, h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet, to calculate the maximum height of the ball.

Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = (x - 5)(5x + 2)
lesser x =
greater x =

Answers

Answer:

lesser x = -2/5

greater x = 5

Step-by-step explanation:

Answer:

-2/5 and 5

Step-by-step explanation:

i got khan

The scatter plot shows the average cost of peaches against the quantity sold for different farmers.

Answers

Answer:

what plot?

Step-by-step explanation:

Answer:

Can you pls provide the graph.

Step-by-step explanation:

Can you help me find the rate of change? Please provide answer and work​

Answers

Answer:

the change between A and B in y axis is 50 feet. 200-150=50

in X axis is 1 second .4-3=1

Step-by-step explanation:

PLEASE HELP MARKING BRAINLIEST ANSWER!!
What is the rate of change of the line?

Answers

Answer:

Step-by-step explanation:

the average rate of change is m= -1/4

P=50 L=? B=15 find ?​

Answers

Answer:

40

Step-by-step explanation:

A=5

mhdyudpsitsyooatost

How can we use models to help up divide with decimals

Answers

Answer:

It can help you divide any number you get

Step-by-step explanation:

Answer: It can help you in any math division

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I hope this helps!

Yunuss earns $17.00 per hour as a lab tech. and gets time and a half for overtime for any hours over 40. Last week he worked 46.25 hours all together. find his total pay.
A. 698.30
B. 6.25
C. 839.38
D. 751.22​

Answers

Answer:

Step-by-step explanation:

C is correct answer

17*40+17*1.5*6.25=839.38

Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 1

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 )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of perpendicular line

38 marbles are shared between John, David and Paul so that John gets twice as many as David. Paul gets 5 only. How many marbles does john get?

Answers

Answer:

11

Step-by-step explanation:

The total number of marbles John gets is 22 and this can be determined by forming the linear equation with help of the given data.

Given :

38 marbles are shared between John, David, and Paul so that John gets twice as many as David. Paul gets 5 only.

The following steps can be used in order to determine the total number of marbles john gets:

Step 1 - Let the total number of marbles John have to be 'x', let the total number of marbles David have to be 'y', and let the total number of marbles Paul have to be 'z'.

Step 2 - So, the linear equation that represents the total number of marbles is:

x + y + z = 38    --- (1)

Step 3 - According to the given data, John gets twice as many as David, that is:

x = 2y  --- (2)

Step 4 - According to the given data, Paul gets only 5 marbles, that is:

z = 5  --- (3)

Step 5 - Substitute the value of x and z in equation (1).

2y + y + 5 = 38

Simplify the above equation.

3y + 5 = 38

3y = 33

y = 11

Step 6 - Substitute the value of y in equation (2).

x = 2(11)

x = 22

So, the total number of marbles John gets is 22.

For more information, refer to the link given below:

https://brainly.com/question/11897796

Translate each expression then write the expression in factored form.
Ten times a number subtract from eighteen.

Answers

Answer:

I think the is 18-10s

Step-by-step explanation:

hope that helps

3x - 3y = 33
6x - 3y = 57
help me please!!!:))

Answers

Answer:

(x,y) = (8,-3)

Step-by-step explanation:

hope this helps.

Help me!!! Please!!

Answers

Answer:

d. 12 m

General Formulas and Concepts:

Order of Operations: BPEMDAStan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify

The drawing states that we are looking for the height of the tree.

h = unknown

horizontal length = 26

∅ = 24°

We will have to use tangent to solve for the missing length

Step 2: Solve for h

Substitute:                              tan24° = h/26Multiply both sides by 26:     26tan24° = hRewrite:                                  h = 26tan24°Evaluate:                                 h = 11.5759

Answer:

11,576m. i think the answer is d

Step-by-step explanation:

have: cot 24° = [tex]\frac{26}{h}[/tex]

=> h = [tex]\frac{26}{cot 24}= 11,576 (m)[/tex]

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