how do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??

Answers

Answer 1

Answer:

[tex]y = -2[/tex]

Step-by-step explanation:

Given

Horizontal Line

[tex](x_1,y_1) = (4,-2)[/tex]

Required

Determine the equation

The equation is calculated using:

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

Where

[tex]m = slope[/tex]

Because the line is a horizontal line, then:

[tex]m = 0[/tex]

Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]

[tex]y - (-2) = 0(x -4)[/tex]

[tex]y +2 = 0(x -4)[/tex]

[tex]y +2 = 0[/tex]

Subtract 2 from both sides

[tex]y +2-2 = 0-2[/tex]

[tex]y = -2[/tex]

Hence, the equation is: [tex]y = -2[/tex]


Related Questions

f) One number is 78 more than
another. If you add 12 to tbe
smaller number, the result is 50.
What is the larger number?​

Answers

Answer:

The larger number = 116

Step-by-step explanation:

Let the smaller number = x

Given that one number is 78 more than  another, so

The larger number = x+78

Given that if we add 12 to the  smaller number, the result is 50, so

[tex]x+12=50[/tex]

subtract 12 from both sides

[tex]x+12-12=50-12[/tex]

Simplify

[tex]x=38[/tex]

Therefore,

The smaller number = 38The larger number = x+78 = 38+78 = 116

Thus, the larger number = 116

Movie tickets cost $6 for adults and $2 for children under the age of 12. If 175 movie tickets were sold with cash receipts of $750, how many children’s tickets were sold?

Answers

Answer:

75 child tickets and 100 adult tickets were sold.

Step-by-step explanation:

Given that adult tickets cost $ 6 and children's tickets cost $ 2, knowing that 175 tickets were sold for $ 750, to determine how many child tickets were sold the following calculation must be performed:

2 x 175 = 350

750 - 350 = 400

6 - 2 = 4

400/4 = 100

175 - 100 = 75

100 x 6 = 600

75 x 2 = 150

Therefore, 75 child tickets and 100 adult tickets were sold.

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

Clayton draws 3 pictures in 25 minutes. He drew 24 pictures this week. How many minutes did Clayton spend drawing the pictures?
NEED A ANSWER ASAP

Answers

Answer:

200 minutes

Step-by-step explanation:

24 / 3 = 8

25 * 8 = 200

200 minutes

The rate will be 8.33 minutes per picture. Then the number of minutes will be 200 minutes.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Clayton draws 3 pictures in 25 minutes. Then the rate is given as,

Rate = 25 / 3

Rate = 8.33 minutes per picture

He drew 24 pictures this week. Then the number of minutes is calculated as,

⇒ 24 x 8.33

⇒ 200 minutes

The rate will be 8.33 minutes per picture. Then the number of minutes will be 200 minutes.

More about the rate link is given below.

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Easy 3 questions but I’m dum

Answers

Try adding them up and finding the total then see which is the part you need compared to the whole

Two similar polygons are shown below:

Which transformation was performed on PQRS to form P′Q′R′S′?

a. A dilation factor of 2

b. A dilation factor of 4

c. A dilation factor of 1 over 2

d. A dilation factor of 1 over 4

Answers

Answer:

a. A dilation factor of 2

Step-by-step explanation:

S'R'/SR = 2/1 = 2

Laura earned $250 on her money market investment over a 2
year period of time. The interest rate during this period of time
was 5% annually. How much money did Laura invest in the
money market from the start?
A) $250
B) $500
C) $2000
D) $2500

Answers

the answer is b i’m pretty sure

What percentage of the shape is purple?
Write your answer using a percent sign (%).

Answers

First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.

3/20

Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply  the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.

3/20 = 0.15 x 100 = 15%

Emily wants to buy new boots that cost $68. The sales tax rate in her city is 512% . What is the total cost for the boots?

Answers

Answer:

$71.74

Step-by-step explanation:

<3

The total cost for the boots after the sales tax of 5.12% will be $71.48.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Emily wants to buy new boots that cost $68. The sales tax rate in her city is 5.12%.

Let x be the total cost for the boots. Then the total cost for the boots will be given as,

x = (1 + 5.12%) × $68

x = (1 + 0.0512) × $68

x = 1.0512 × $68

x = $71.48

The total cost for the boots after the sales tax of 5.12% will be $71.48.

More about the percentage link is given below.

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A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?


A coordinate plane.

Answers

Answer:

6

Step-by-step explanation:

I took the test

Answer:

6

Step-by-step explanation:

just took the exam

6x+4 divided by 2=8
You don’t have to explain... just answer

Answers

X=2
I’m still gonna explain lol
6(2)=12+4=16/2=8

GIVING BRANLIEST EASY POINTS
1.How do you dilate a figure on the coordinate plane?

2. What is scale factor?

3. What are the properties of similar figures (what do they have congruent and/or proportional)?

Answers

Answer:

1. To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping. For any dilation the mapping will be \begin{align*}(x, y) \rightarrow (kx, ky)\end{align*}. In this Concept, the center of dilation will always be the origin, unless otherwise stated.

2. When using State Plane coordinates the scale factors, also known as the K factors, are ratios that can be used as multipliers to convert ellipsoidal lengths, also known as geodetic distances, to lengths on the map projection surface, also known as grid distances, and vice versa.

3.Similar figures have the same shape (but not necessarily the same size) and the following properties: Corresponding sides are proportional. That is, the ratios of the corresponding sides are equal. Corresponding angles are equal.

Step-by-step explanation:

I don't know if this helped but have a good day

Find each unit rate.

140 mi in 3.5 h
a.
40 mi per h
c.
0.03 mi per h
b.
143.5 mi per h
d.
35 mi per h

Answers

a. 40 miles per hour

Answer:

40

Step-by-step explanation:

took the test

827774 x 86567 x 87893087 x 878904 x 8907389 x 0 x 7890 x 7893 see if you can answer that nice job if u did

Answers

Answer:

hm

Step-by-step explanation:

Can someone help me please!!

Answers

9514 1404 393

Answer:

  AE = CE = 23; BE = DE = 20

Step-by-step explanation:

Put the values of the variables in their place and do the arithmetic.

  AE = 2u+5 = 2(9) +5 = 23

  BE = 6v-1 = 6(3.5) -1 = 20

  CE = 3u-4 = 3(9) -4 = 23

  DE = 8v-8 = 8(3.5) -8 = 20

The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.

There are 10 boys and 10 girls in a classroom.
8 like to draw.
What is the probability that a student picked at random will be a girl who likes to draw?
Answer in decimal form rounded to 2 places.

Answers

Answer:

grgdhs s dix e8shecr d8 her e8d jshfvebzjd zirr sidhe r shudbe xu heyxuebxux bsuc eizbfjs xie disgruntled hehe I2bv hour grab bjau bro iske Ddbeusd zjw7 YZH2WH2 zop dq he

There are 10 boys and 10 girls in a c
What is the probability that a student picked at random will be a girl who likes to draw?
Answer in decimal form

the local water slides have 70 employees, of which 10% are temporary. how many temporary employees are there?

Answers

Answer:

7 employees

Step-by-step explanation:

Given that 10% are temporary .

So number of temporary employees will be 10% of 70 employees = 7employees ( Answer)

it has been observed that a particular plant's growth is directly proportional to time. it is measured 2 cm when ut arrived at the nurseryand 2.5 cm exactly one week later. if the plant continues to grow at this rate. determine the function that represents the plant's growth and graph it.

Answers

Answer:

obsetion with plant growth lol, anyways your answer is negative ax+3=-34f

Step-by-step explanation:

Here is a rate: 12 feet in 3 hours.
Find the unit rate:
feet per hour

Answers

Answer:

4

Step-by-step explanation:

12 feet divided by 3 hours is 4

Answer:

4 feet per hour

Step-by-step explanation:

12 feet in 3 hours

12/3 = 4

4 feet in 1 hour

Which fraction is equivalent to 2/6?

Answers

Answer:

1/3 or one third

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

2/6 = ?

You can simplify this fraction

2/6 = 1/3

WILL GIVE BRAINLY What is 5x = 25??

Answers

Answer: x=5 bc 5 times 5 is 25

Ste-by-step explanation:

5x=25
25/5=5
The answer is X=5

PLEASE ANSWER!!!!!!!!!!!!!!!!!!!

Answers

Answer:

answer attached

Step-by-step explanation:

Which scenario could be represented by this graph?
O A Mark leaves home and walks to a friend's house. He picks up his
friend and they return to Mark's house, where they stay for the
evening. The x-axis represents time; the yaxis represents the
distance from Mark's house
O B. Mark leaves home and starts walking to a friend's house, but he
has to return home when he realizes he has forgotten something
After returning home, he heads back out to his friend's house. The
x-axis represents time; the y-axis represents the distance from
Mark's house
OC. Mark leaves home and walks to a friend's house. They stay there
for an hour before returning to Mark's house. The x-axis represents
time; the y-axis represents the distance from Mark's house,
OD Mark leaves home and walks to a friend's house, but he gets lost
and goes too far. He then retraces his steps and arrives at his
friend's house, where he stays for the evening. The axis
represents time the y-axis represents the distance from Mark's
house

Answers

Answer:

the answer is d or b need help

Answer:D

Step-by-step explanation:

AP3X

What is the value of -b/(2a) in the given function below?
h(x)= -4x^2 -8x + 5
A. 2
B. -2
C. -1
D. 1

Answers

identifying the coefficients, we get a= -4 and, b= -8.
then we substitute the coefficients into the expression ➡️ x= -(-8/2x (-4)) and we solve the equation, so C (-1) is the correct answer!!

Please help me with this question

Answers

Answer:

3 x 3/4 = 9/4 = 2 1/4

7 x 3/8 =21/8 = 2 5/8

4 x 1/5 = 4/5

5x 2/3 = 10/3 = 3 1/3

Step-by-step explanation:

ANSWER:

3 x 3/4 = 9/4 = 2 1/4

7 x 3/8 = 21/8 = 2 5/8

4 x 1/5 = 4/5

5 x 2/3 = 10/3 = 3 1/3

Step-by-step explanation:

What is the common factor of 26 and 38

Answers

Answer: The GCF is 2 and the LCF is 1

Step-by-step explanation:

What is the slope of the line shown below?
10+
(3,9)
O
A. -6
(-4, 2)
B. 6
-10
10
C. 1
O
D. -1
10
SUBMIT

Answers

Answer:

C. 1

Step-by-step explanation:

Use the formula to find slope:

(y2-y1)/(x2-x1)

Plug in the numbers you have.

(9 - 2)/(3 - -4)

7/7

1

Slope of the line shown below is option C. 1

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a line.

Slope must be positive since the line is drawn in the positive direction.

Consider two points along the line.

Consider (-4, 2) and (3, 9).

Slope = change in y coordinates / change in x coordinates

          = (9 - 2) / (3 - -4)

          = 7 / 7

          = 1

Hence the slope is 1.

To learn more about Slope, click :

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the height of 12 students
are as below &
159, 148, 138, 150, 165, 166, 145, 152 155 160 147, 151
the mean, the median and the mode​

Answers

Answer:

Mean = 153

Median = 151.5

Mode = 159, 148, 138, 150, 165, 166, 145, 152, 155, 160, 147,

Step-by-step explanation:

Mean - add all numbers up (1820) then divide by 12

Median - put numbers in order, add two middle numbers and divide by 2

Mode - each number only came up once so they are all the mode

can someone please help me with this by showing work? this is very hard for me so i asked here even though my questions never get responses sometimes

Answers

Answer is 4X^3 Y^5
Steps
4^2 = 16
X^6
Y^10

Answer and Step-by-step explanation:

The square root of 16 times x to the power of 6 times y to the power of 10 is the same as:

[tex]\sqrt{16x^{6} y^{10} } = \sqrt{16} * \sqrt{x^{6} } * \sqrt{y^{10} }[/tex]

The square root of 16 is 4.

The square root of x to the power of 6 is x to the power of 3.

The square root of y to the power of 10 is x to the power of 5.

So, the answer is:

[tex]4x^{3} y^{5}[/tex]

Hope this helps!

#teamtrees #WAP (Water And Plant)

find the measure of the angle

Answers

Answer:

2 = 74

1 = 106

Step-by-step explanation:

none

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