Find the slope and use the point to write an equation of the line in point slope form.

Find The Slope And Use The Point To Write An Equation Of The Line In Point Slope Form.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = [tex]\frac{0-(-1)}{0-(-2)}[/tex] = [tex]\frac{0+1}{0+2}[/tex] = [tex]\frac{1}{2}[/tex]

Using (a, b ) = (- 2, - 1 ) , then

y - (- 1) = [tex]\frac{1}{2}[/tex] (x - ( - 2) ) , that is

y + 1 = [tex]\frac{1}{2}[/tex] (x + 2) ← in point- slope form


Related Questions


5
an
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1
centimeter represents 20 kilometers. What is the actual distance between these two cities in
kilometers? hi

Answers

Answer:

(0,2),(1,6),(−2,−6) are solutions

Simplify 5^4/5^3

5^7
5^-1
1/5
1/5^7

Answers

Answer:

5^4-3

by law

a^m÷a^n= a^m-n

1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?

Distributive property and division property of equality

Subtraction property of equality and division property of equality

Distributive property and collecting like terms property

Addition property of equality and division property of equality

Answers

Answer:

B. Subtraction property of equality and division property of equality

Step-by-step explanation:

Given equation:

8.5d + 7.5 = 100 + 3

Step 1, subtract 7.5 from both sides:

8.5d = 103 - 7.5

Step 2, divide both sides by 8.5:

d = 95.5/8.5

Correct answer choice is B

When a number is halved and 5 is added, the result ie 8 more than the original number. Find the number​

Answers

Answer:

It would be 6.

Step-by-step explanation:

6 halved is 3.

3, then 5 added is 8.

HELP ASAP BRAINLIEST!
One pump can fill a tank of water in 4 hours. A second pump can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
1.7 hours
6.7 hours
.5 hours
2.3 hours

Answers

Answer:

1.7

Step-by-step explanation:

in one hour, the first pump can fill the tank 1/4 of the way

in one hour, the other can fill it 1/3 of the way.

get them to the same denominator.

3/12+4/12=7/12 of the tank in one hour

1÷7/12=12/7=1 5/7=1.7

On Monday, 4 x 10 to the power of 2 people went to Fun World Amusement Park. On Tuesday, there were 3 x 10 to the power of 6 patrons at the amusement park. How many times larger was Tuesday's attendance than Monday's ?

Answers

The Monday and Tuesday attendance are illustrations of proportions.

Tuesday's attendance is larger than Monday's 7500

The given parameters are:

[tex]\mathbf{Monday = 4 \times 10^2}[/tex]

[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]

The number of times (n) the Tuesday attendance is larger than Monday's is:

[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]

So, we have:

[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]

[tex]\mathbf{n = 7500}[/tex]

Hence, Tuesday's attendance is larger than Monday's 7500

Read more about proportions at:

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I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

A. 5y = 45.00; y = 9.00

Step-by-step explanation:

Step 1:

There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.

So, the amount of money the friends contributed is 5y.

The total amount of all the friends' money put together is given; $45.00.

So 5y = 45.00

______________

Step 2:

Divide 45.00 by 5 to find out how much each of the five friends contributed individually;

45.00 ÷ 5 = 9.00

So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.

y = 9.00

______________

Model it:

5y = 45.00; y = 9.00

______________

Hope this helps! :)

If Mac were to get 76 apples from her friends and then get 3 more from the store, and then find two absolutely fine apples in the sewers, then go for a walk and find 7500 apples in someone's car, how many healthy apples would she find? Bet you can't solve it ;)

Answers

Answer:

3?

Step-by-step explanation:

Answer:

None because the apples are all poisoned.

Step-by-step explanation:

What is 4.4 dvided 1.85

Answers

Answer:

2.378378378

Step-by-step explanation:

rounded it would be 2.4

2.378. This is the answer

A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation LaTeX: 1.5s+3.5c=21 represents the relationship between sheets of stickers, LaTeX: s, packs of cardstocks, LaTeX: c, and the dollar amount a kindergarten teacher spent on these supplies.

Answers

Answer:

Done

Step-by-step explanation:

Teacher bought $21 worth of stickers and cardstock for his class.

Cost of stickers = $1.50 per sheet

Cost of 's' sheets = $1.5s

Cost of cardstock = $3.50 per pack

Cost of 'c' packs = $3.5c

Equation representing the relationship between sheet of stickers and packs of cardstocks will be,

1.5s + 3.5c = 21

3.5c = -1.5s + 21

1).  

  y-intercept of the line → (0, 6)

  x-intercept of the line → (14, 0)

  Therefore, equation of the line represents the line on the graph.

2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.

  Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.

The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced?

Answers

Answer:

The price of the dress was reduced by 25%

Step-by-step explanation:

Answer:

The price for the dress was reduced by 25%.

Step-by-step explanation:

25% of 40 is 10.

40 - 10 = 30, explaining the dress' price reduction from 40 to 30.

Hope this helps!

use the distibutive property to find the product
1/5 x 5 10/11​

Answers

Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

how do I convert Fahrenheit to Celsius? my homeschooling program does a very confusing job at explaining things.​

Answers

Answer:

start with your fahrenheit then Subtract 32 then divide by 1.8

Step-by-step explanation:

What can divided 62 and 30

Answers

62- 1,2, 31,62
30-1,2,5,6,10,15,30

Pls Help
A sporting goods manufacturer requires 5/6 yd of fabric to make a pair of soccer shorts. How many shorts can be made from 35 yds of​ fabric?

Answers

Answer:

[tex]42[/tex]

Step-by-step explanation:

Another way to look at this question is: We make 5/6 yards of fabric from each pair of shorts. How many shorts do we need to make 35 yards of fabric.

So, we need to solve this equation for [tex]x[/tex]: [tex]x*5/6=35[/tex].

We can multiply both sides of the equation by [tex]6[/tex] to get [tex]x*5=210[/tex].

We then divide by [tex]5[/tex] on both sides to get [tex]x=42[/tex].

So, we can make [tex]\boxed{42}[/tex] pairs of soccer shorts.

-2(x + 3) = -2(x + 1) - 4​

Answers

i’m working on something like that now

Answer:

infinite solution

Step-by-step explanation:

-2 times x is -2x

-2 times 3 is -6

-2 times x is -2x

-2 times 1 is -2

the equation now looks like this:

-2x-6=-2x-2-4

Simplify

-2x-6=-2x-6

0=0

So this is an infinite solution

Hope this helps!

the population of london city is 11400. write this in scientific notation

Answers

Answer:

1.14 x 10x4

Step-by-step explanation:

thats is correct i just did the test

Two angles are supplementary if their sum is 180". The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find
the measure of each angle
Please help give the smaller and bigger angle measure

Answers

Answer:

Step-by-step explanation:

2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees

Let the smaller angle be x

The larger angle will be 3x+8

X+3x+8=180

4x=180-8=172

X=172/4

X=43

3*43+8= 137

Find the missing length of the triangle.
1.5 cm
a
1.2 cm
a =
cm

Answers

Answer:

take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root

Find the value of x.

A) 870
C) 127°
E) 66°
B) 106°
D) 100°

Answers

Answer:

100

Step-by-step explanation:

y  + 140 = 180   {Linear pair}

y = 180 -  140

y = 40

Given triangle is an isosceles triangle.

x + y + y = 180  {angle sum property of triangle}

x +2y = 180

x +2*40 = 180

x + 80 = 180

x = 180 - 80

x = 100

In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer represents the vertical change from the start of the ride for the coaster after the 20 seconds?

Answers

The question is an illustration of arithmetic operations.

The integer that represents the vertical rise is 76

Upward movements are represented with positive, while downward movements are represented with negative.

So, the given parameters are:

[tex]Up = 100m[/tex]

[tex]Down = -72m[/tex]

[tex]Up= 48m[/tex]

The vertical rise is:

[tex]Rise = Up_1 + Down + Up_2[/tex]

So, we have:

[tex]Rise = 100m -72m +48m[/tex]

[tex]Rise = 76m[/tex]

Hence, the integer that represents the vertical rise is 76

Read more about arithmetic operations at:

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I need help with this

Answers

Answer:-40 - 180=-220

Step-by-step explanation:

water is 0 so when subtracting it will be negative.

the answer is -220 because of how deep the submarine is.

you will keep subtracting the farther down you go.

Your Aunt Yvonne is shopping for flower pots at the local
garden store.
2 pots = 24 cm
4 pots = 32 cm

Answers

The equation which relates the height of the flower pot based on the number of pots is 4a + 16

Creating a system of linear equations based on the information given :

a = number of flower pots

b = height of base

4a + b = 32 - - - - - (1)

2a + b = 24 - - - - - (2)

From (2)

2a + b = 24

Make b the subject ;

b = 24 - 2a - - - - (3)

Put b = 24 - 2a in (1)

4a + 24 - 2a = 32

4a - 2a + 24 = 32

2a = 32 - 24

2a = 8

a = 8/2

a = 4

From (3) :

b = 24 - 2(4)

b = 24 - 8

b = 16

The equation which relates the height of a flower pot is 4a + 16

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A painter charges $15.30 per hour, plus an additional amount for the supplies. If he made $187.81 on a job where he worked 7 hours, how much did the supplies cost?

Answers

Answer:

$80.87

Step-by-step explanation:

The cost of supplies would be $80.87 This is because 15.33 • 7 = 107.31 and 188.18 - 107.31 = 80.87

1) Use the point at (4, 6) to answer the following. *
7 points
1. Which situation is best described by the graph
shown?

a. purchases chips for $0.75 per bag.
b. Mark buys packs of gum for $1.50 each.
c. Paula pays $0.50 per ticket at the fair.
d. Franco purchases flowers for $3.00 each.

Answers

B. Mark bought 4 packs of gum for $1.5 each. 6 dollars in total. The 4 packs of gum is on the x axis (x, y) and the the total is 6 dollars.

Graph the inequality on the number line

B>-9 graph

Answers

Answer:

-9=9

Step-by-step explanation:

that the answer I think

David begins the summer with a savings of $54.00 more than Fatima. David's job pays $8.25 per hour. Fatima's job pays $9.75. If they both work the same amount of time each day, how many hours of work will it take David to have as much money as Fatima? (write an inequality and then solve it)

Answers

Answer:

Inequality: 8.25x + 54 = 9.75

Step-by-step explanation:

Why?

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

While Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

The like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Therefore, it’ll take 36 hours for David to have as much as Fatima.

Answer:

36 hours

Step-by-step explanation:

stay great peepz!

-TinyDiamond

AB || DE. Calculate the value of angle x°.​

Answers

Answer:

23 maybe because there is a 90 degree angle

Answer:

sorry sorry for bad hand writing

but u are right it is 153 degree

pls make me brainiliest

Four students, Amanda, Briana, Courtney, and Diana were given an assignment in their math class to create inequalities with the sme solution set as shown on the graph below.

Answers

The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity

The students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Reasons:

Question: The table of the question is presented as follows, and the graph of the inequality is attached

[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]

Solution:

The inequality with the same solution as the given graph is x < 4

The inequalities created by the students are;

Amanda;

-3·x + 5 > -7

Rearranging the above inequality gives;

-3·x + 5  - 5 > -7 - 5

-3·x > -12

Dividing both sides by (-1) and reversing the inequality sign gives;

[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]

x < 4

Therefore;

The solution of the inequality created by Amanda is x < 4, which is the same as the solution set of the graph, and therefore, is appropriate

Briana;

The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]

Multiplying both expressions on either side of the equality by 2 gives;

[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]

(2·x - 4) > 4

2·x > 4 + 4 = 8

[tex]x > \dfrac{8}{2}[/tex]

Therefore

x > 4

The solution of the inequality created by Briana is x > 4 which is not appropriate for the given graph

Courtney;

The inequality created by Courtney is -7·x + 8 > -3·x + 24

Rearranging gives;

8 - 24  > -3·x + 7·x

-16 > 4·x

4·x < -16

[tex]x < \dfrac{-16}{4}[/tex]

x < -4

Courtney's solution is x < -4, which is not an appropriate solution to the given graph

Diana;

Diana's solution is 9·x - 6 < 3·x + 18

Rearranging, we get;

9·x - 3·x  <  18 + 6

6·x < 24

[tex]x < \dfrac{24}{6}[/tex]

x < 4

Therefor;

Diana's solution is an appropriate solution to the given graph

Therefore, the students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Learn more here:

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What is the value of x in the triangle below?
ModuleTwoPostAs...
a
>> Q
3x
T
V
8x - 30
R
15
45
6
18

Answers

Answer:

d

Step-by-step explanation:

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