Identify the equation in slope-intercept form for the line containing the point (2,4) and perpendicular to y=1/2x+1/2.

Answers

Answer 1

Answer:

 y = − 2 x

Step-by-step Explanation:

Y + 2 = − 2 ⋅ ( − 1 )  Write in   y = m x + b  form.

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

m  in perpendicular  = − 1 2

(1,-2),y=(1)/(2)x+4

I hope I helped!

Answer 2

Answer:

y = -2x + 8

Step-by-step explanation:

For this problem we need to consider that the equation of a line perpendicular to another line will have a "negative reciprocal" slope so that when they cross, it forms a 90-degree angle, hence perpendicular.  Additionally, we will need to use the point-slope form and re-write it into the slope-intercept form to incorporate (2,4) into our equation.  With these things in mind, let's do that.

y = (1/2)x + (1/2)

We want a "negative reciprocal" so:

y = -2x + (1/2)

Since -2 is the "negative reciprocal" of 1/2.

And now we want to use the point-slope form to incorporate (2,4)

y - y0 = -2 ( x - x0 )

Where, y0 = 4 and x0 = 2.

y - y0 = -2 ( x - x0 )

y - 4 = -2 ( x - 2 )

y - 4 = -2x + 4

y = -2x + 8

So, the equation that is perpendicular to y = (1/2)x + (1/2) and includes the point (2,4) is y = -2x + 8.

Cheers.


Related Questions

−3(2a−14)−3a=24
what is a

Answers

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[tex] - 3(2a - 14) - 3a = 24[/tex]

[tex] - 6a + 42 - 3a = 24[/tex]

[tex] - 9a + 42 = 24[/tex]

Subtract sides 42

[tex] - 9a + 42 - 42 = 24 - 42[/tex]

[tex] - 9a = - 18[/tex]

Divide sides by - 9

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

[tex]a = 2[/tex]

_________________________________

CHECK :

[tex] - 3(2(2) - 14) - 3(2) = 24[/tex]

[tex] - 3(4 - 14) - 6 = 24[/tex]

[tex] - 3( - 10) - 6 = 24[/tex]

[tex]30 - 6 = 24[/tex]

[tex]24 = 24[/tex]

Thus the solution is correct.....

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Which sentence is written correctly?
O A
No one know who hid the book in the desk.
OB.
Whoever sent me flowers are my new best friend.
O C.
Everyone is invited to Anne's party next week.
OD. All of my friends is going to the big dance.

Answers

C would be the correct answer

Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that measures 5" in the drawing, what would its actual length be?

Answers

30 feet

5”= 10/2
1/2x10= 10/2 so you have to times 3 by 10 to get the answer 3x10=30’

Scale drawings are used to represent a large drawing using smaller measurements

The equivalent of 5" in the drawing is 30' i.e. 30 feet

The scale is given as:

[tex]\mathbf{\frac 12" = 3'}[/tex]

A single quote means feet, while a double quote means inches

So, the scale can be rewritten as:

[tex]\mathbf{\frac 12\ inches= 3\ feet }[/tex]

Multiply both sides by 10

[tex]\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}[/tex]

Simplify

[tex]\mathbf{5\ inches = 30\ feet }[/tex]

Rewrite as:

[tex]\mathbf{5" = 30'}[/tex]

Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet

Read more about scale drawings at:

https://brainly.com/question/22627686

What is the average rate of change of f over the interval -7 < or equal to x Give an exact number

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change can be found by using the following formula

[tex]\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}[/tex]

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

[tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]

Good luck!

Does the point (-3,-1) lie on the line with the equation y = 10 - 3x ? Be sure to show your work.

Answers

Replace x in the equation with the x value from the point and solve. If the equation equals the y value from the point the point lies in the line, if it doesn’t equal the y value then it doesn’t lie on the line.

Y = 10 -3(-3) = 10 + 9 = 19

19 doesn’t equal -1 so the point does not lie on the line.

math question trignometry

Answers

Answer:

the answer is none of these

Step-by-step explanation:

Where is the point (0, -4) located on the coordinate plane?

Answers

Answer:

Start from coordinate 0, the exact center where the lines meet, then count down four, leave your point at -4 on the middle line.

If this answer was helpful pls mark as brainliest. <3

write a table of value from 0 to 5 with this equation: x^2-x-12, how can i do that ?

Answers

Answer is picture.  The table and work

Which value is included in the solution set for the inequality graphed on the number line?


A. -5
B. -2
C. 0
D. 3

Answers

Answer:

since the graph is in the direction it is the only number choice it acctually passes through would be -2.

PLEASE HELP ME

Matt wants to spend no more than 120 minutes watching TV on his day off. It takes 40 minutes to watch one episode of his favorite show, The Office, and half that amount of time to watch one episode of his other favorite show, Seinfeld.

Which inequality represents all possible combinations of x, the number of episodes of The Office, and y, the number of episodes of Seinfeld, that Matt can watch on his day off?
A:20x+40y>_120
B:20x+40y _120
D40x+20y<_120

Answers

Answer:

D "Matt wants to spend no more than" That indicates that it would be Less Than or = to

Step-by-step explanation:

Which of the following is true? (1 point) Group of answer choices |−6| < 5 |−6| < |5| |−5| < |−6| |−5| < −6

Answers

Answer:

|−5| < |−6|

Step-by-step explanation:

The symbols around the numbers signify that you must switch the negative to a positive or vice versa. So, in this case, this equation is actually 5 < 6.

EASY POINTS FOR Y'ALL!!!!!!!!!!

Answers

Answer:

a

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

happy new year

2+8

PLSSS HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

10

Step-by-step explanation

2 + 8= 10

Answer:

10

Step-by-step explanation:

2 + 8 = 10

Number line:

5-6-7-8-9-10-11-12-13

Move to the right 2 spaces and you get 10.

Find the slope for the given points. A. (4,3) B. (5,-2)

Answers

Answer:

This free slope calculator solves for multiple parameters involving slope and the equation of a line. It accepts inputs of two known points, or one known point

Step-by-step explanation:

there is no need to that and I'm in 5th grade and that is easy peasy lemon squeezy cuz my last name is lemon

Pls help ASAP thanks :P

Answers

Ay I hope dat work out player

Help me PLEASE!


2. When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets

home. Draw a graph to represent this situation?

Answers

Answer:  I can give coordinates (0,400) (1,350) (2,300) (3,250) (4,200) (5,150) (6,100) (7,50) (8,0)

Step-by-step explanation:

Deema starts at 400 which is y-intercept and goes down on a slope of -50 cause we are decreasing 50 mi for every hour she drives.

Hope this helped :) !!!!!!!

The coordinates of the graph representing the given situation are listed below

 A (0 ,400)

 B ( 1 ,350 )

 C (2,300)

 D(3,250)

  E(4, 200)

  F(5, 150)

  G(6, 100)

   H(7, 50)

   I (8, 0)

The graph attached shows the nature of the graph.

Total distance traveled by Deema = 400 miles

The average speed of  Deema = 50 mph

In each 1 hour, 50 miles of distance will be covered

So by the rate of 50 miles per hour the coordinates in this situation are given as follows

Time (X axis)           Distance (Y axis)

  0                                  400

   1                                  350

   2                                 300

   3                                 250

   4                                 200

   5                                 150

   6                                 100

   7                                  50

   8                                   0

The coordinates of the graph are listed above and the nature of graph is shown in the figure attached in the solution.

The graph of this situation has a constant negative slope.  

For more information please refer to the link given below

https://brainly.com/question/12322912

What is the slope of a line that is parallel to the graph of the equation y = 10x - 20?

Answers

Answer:

y parallel =10 or 10

Step-by-step explanation:


Hurry I will mark brainlyest and 20 points!!!
What division problem can be represented using the number line?

Answers

Answer:

c can br used using the number line

Answer:

I believe its A

Step-by-step explanation

HOPE THIS HELPS

Find the slope and the y-intercept of the line.
- 9x+3y=-6

Answers

Answer:

slope is 3 and y intercept of -2

Step-by-step explanation:

Karissa earns $200 per week plus $25 per item she sells. Which
equation models the relationship between her pay p per week and the
number of items n she sells?
A. p = 200n + 25
C. n = 25p + 200
B. p = 25n + 200
D. n = 200p + 25

Answers

Answer:

Step-by-step explanation:

p=200+25(n)

Find the slope of the line

Answers

Answer:

The line has a slope of Zero.

Step-by-step explanation:

Answer:

The answer is zero

Step-by-step explanation:

The answer is zero because the line is straight it's not positive or negative.

what is - 10 = w - 2 ? ​

Answers

Answer:

W= - 8

-10 + 2 = w

-8 = w

W = -8

Answer:

w = -8

Step-by-step explanation:

1. Add 2 to the -10

2. -10 + 2 = -8

W = -8

help me plzzzzzzzzzz ​

Answers

Answer:  Not congrute

Step-by-step explanation:

Answer:

B (SSS)

Step-by-step explanation:

Congruent by postulate side side side.

please help! i’ll mark brainliest!!!

Answers

Answer:

(6+x)(5+x)

Step-by-step explanation:

Which is the equation and there’s a line that passes to the point to (-4,4) and is parallel to the line Y equals 1/2 X -4

Y=2x+12

Y=1/5x-10

Y=-2x+5

Y=-4x-5

Answers

I think it’s the second one correct me if I’m wrong

Leon tried to solve an equation find leons mistake 1/2w-12=18
Step one : 1/2w=30
Step two: w=15

Answers

Answer:

They made a mistake of the value of W.  If half of W is 30, then 1/1 should thus be 60, but it's 15. Leon made a mistake on the value of W. 1/2w-12=18 would actually be 3 based of background information.

Step-by-step explanation:W-

Answer:

Step two

Step-by-step explanation:

step one isn't wrong

and he infact made a mistake

what is 69/4 as a fraction

Answers

Answer:

17 1/4

Step-by-step explanation:

69/4 is already a fraction but we can turn it into a mixed number.

69/4 → 69 ÷ 4 → 17.25 or 17 1/4

Best of Luck!

Answer:

you mean Decimal 17.25

Step-by-step explanation:

7 − 58z = −23 ASPA

A. 9.38

B. 48

C. −24

D. 24

Answers

Answer:

the given are not correct the real answer is 15/29 or 0.517...

Step-by-step explanation:

7-58z = -23

-58z = -23 -7

-58z =-30 the negatives will cancel each other out

-58. -58

z = 30/58 divide both by 2

z= 15/29 which can also be equal to 0.517...

help pls pls asap i need this

Answers

Answer:

B

Step-by-step explanation:

100 POINTS PLEASE HELP!!!!
Problem solving Reasoning The perimeter of an equilateral triangle is 17 cm less than the
perimeter of a rectangle.
The length of one side of the triangle is 5 cm.
a
a Construct an equation for the perimeter of the rectangle.
b What is the perimeter of the rectangle?​

Answers

You put 5 points not 100, just saying, haha.

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