a line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point slope-form
b. rewrite the equation in standard form using integers ​

Answers

Answer 1

9514 1404 393

Answer:

  a) y +2 = (4/3)(x -3)

  b) 4x -3y = 18

Step-by-step explanation:

a) The slope formula gives part of what is needed for point-slope form:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-2))/(6 -3) = 4/3

Point-slope form is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Using the first point, we get ...

  y +2 = 4/3(x -3)

__

b) Multiplying by 3 and eliminating parentheses, we get ...

  3(y +2) = 4(x -3)

  3y +6 = 4x -12

Adding 12 -3y to both sides gives ...

  18 = 4x -3y

Putting this in the usual form, we have ...

  4x -3y = 18


Related Questions

The integer 49 can be written as the sum of smaller perfect squares in a variety of ways. One such way includes six terms: $25 9 9 4 1 1$. If each term has a value between 0 and 49, what is the fewest number of perfect square terms smaller than 49 that can be added together for a sum of 49

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The minimum length of the sum of perfect squares that total 49 is 3:

  49 = 36 +9 +4

  = 6² +3² +2²

Competition time!

How do you make a Peanut butter and jelly sandwich?
Whoever gives the best answer gets brainiest and a thx and 5 stars.
Second place gets 4 stars and a thx!

Answers

Answer:

For each sandwich, spread 2 tablespoons peanut butter onto 1 slice of bread. Spread 1 tablespoon jelly onto another slice of bread.

Heat 12-inch skillet or griddle over medium heat.

Place 2 sandwiches into skillet. Cook, turning once, 4-6 minutes or until golden brown and peanut butter is melted.

Step-by-step explanation:

6th grade math i mark as brainliest​

Answers

Answer:

9. Second part [tex] (30\div 6)[/tex]

10. 7.6u (first part)

Step-by-step explanation:

9. Second part [tex] (30\div 6)[/tex]

10. 7.6u (first part)

9. A Quotient is “a result obtain by dividing one quaintly by another” so therefore (30 ➗ 6)
——-
10. Product is the name of the answer of multiplication or from algebra operation

A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown in the table.
History Math Science Total
High School 80 50 70 200
College 70
60
70 200
Total 150 110 140 400
What percentage of the students are college students that prefer history?
O A. 17.5%
OB. 35%
OC. 37.5%
D. 46.7%
E 75%

Answers

Answer: 35%

Step-by-step explanation:

NEED ASAP!!!

Several bags of marbles of equal number are added to an empty jar. The total number of marbles in the jar is 1,320. A student places 9 more bags of marbles in the jar, bringing the total number of marbles in the jar to 1,518 marbles. If each bag in the jar contains the same number of marbles, how many marbles does each bag contain?

Answers

Answer: 22 Marbles

Step-by-step explanation:

1,518 - 1,320 = 198

198 ÷ 9 = 22

Answer:

22 marbles

Step-by-step explanation:

1518 - 1320 = 198

198/9 = 22

On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.

Answers

Answer:

Step-by-step explanation:

horizontal = x-axis

vertical = y-axis

Hope this helps!

Answer:

Horizontal: X-axis; Vertical: Y-axis

Step-by-step explanation:

Lucy has to run two errands. She starts from home and
travels 3 miles south to the post office. From the post
office, she travels 4 miles east to the gas station. Then,
from the gas station, she travels 5 miles to return home.
The entire trip forms a triangle.
What was the smallest angle made in her trip?

Answers

Answer:

My answer is at the gas station. I hope my answer helped.

When Lucy traveled to the post office and then to the gas station the angle was 90 degrees, at the post office. Then when Lucy was traveling back home from the gas station the angle was a 45 degree. So the smallest angle made during her tip was at the gas station.

Step-by-step explanation:

Look at points C and D on the graph. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. I REALLY NEED IT FAST

Answers

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83

can someone help me T-T

Answers

Answer:

This should be the answer

Step-by-step explanation:

One = a, c, f, e

Infinite = d

No = b

Marcel said he can find 52 × 10 by adding a 0 to the end of 52 to get 520.

Marcel finds 74.26 × 10 using the same method and gets 74.260.

Use the drop-down menus to complete the statement about why Marcel is correct or incorrect.

Answers

Answer:

The answer is 742.6

Step-by-step explanation:

What Marcel said is that if you multiply a number times 10 it is only necessary to add a zero at the end. However, with the number 74.26, it is necessary to move the dot instead of adding a zero due to this, the correct answer is 742.6 and not 74.260, which is the same as the original value (74.2.)

The answer is 742.6 guy above me got it before me

BRAINLIEST. The formula Tn = 200 – 6n²

Answers

what’s the problem ??

John has 14 coins that are nickels and dimes. He has $.95 altogether. How
many of each coin does John have?

Answers

Answer:

7 nickels the rest are dimes

Step-by-step explanation:

9 times 5 cents= 45

5 times 10 cents=50

Which statement explains one way that ponds and lakes differ?

Ponds are shallower than lakes.

Ponds are larger than lakes.

Pond water moves more than lake water.

Lakes have more plants at the bottom than ponds.

Answers

Answer:

Ponds are shallower than lakes.

Step-by-step explanation:

The statement that explains one way that ponds and lakes differ is: Ponds are shallower than lakes.

Ponds and Lakes

The major difference between ponds and lakes are ponds are :

Pond are depth or shallower and smaller than lakes while lakes are larger or bigger.

Lakes are more deeper compare to ponds which inturn means that  ponds are not deeper than lakes.

Inconclusion the statement that explains one way that ponds and lakes differ is: Ponds are shallower than lakes.

Learn more about ponds and lakes here:https://brainly.com/question/131190

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-3,-4); y=-3x+4

Answers

Answer:

y=-3x-13

Step-by-step explanation:

Plug in the -2 and -4 for the y and x. The slope is the same

1) -4 = -3 (-3)+b

2) -4=9+b

3) -4-9=b

4) -13=b

The equation is y=-3x-13

The answer is y=-3x-13, because y=mx+b and since it’s parallel the slope is -3 and substituting x=-3 and y=-4 and m=-3 into the equation, we get b=-13. So the answer is y=-3x-13

a statue casts a 40 foot shadow. Mrs. Swift, who is 5 feet 6 inches tall, casts a 4 foot shadow. how tall is the statue?

Answers

Answer:

56 foot

Step-by-step explanation:

5.6inches =4foot

what about 40foot

=40foot *5.6/4foot

= 56 foot

Answer:

shajjababhnamajnahahshssb

PLEASE HELP, IM GIVING BRAINLIEST AND POINTS

Answers

Answer:

waht is it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Help with what?

Is there supposed to be a picture?

●﹏●

PLS HELP ME ASAP!!!!!

Answers

Answer:

1:6 2:-5 3:-3

Step-by-step explanation:

Answer:

1. 6

2. -5

3. -3

Step-by-step explanation:

1. Since there are 2 negatives, they cancel out to create a positive. 18/3=6. The answer, is 6

2. Since there is only 1 negative, just do 20/4 and add a negative in front. 20/4= 5, then add the -, then boom, -5.

3. Again, 1 negative. 21/7=3. Add the negative, boom, -3.

i need someone to help me with my algebra homework :(

Answers

Answer:

ok, what grade level? and you need to actually type the questions into here

I'll help because your pfp proves that you are indeed a classy individual

So.... using the point-slope formula

y-y₁=m(x-x₁)

y₁ is the y-coordinate

x₁ is x-coordinate

m is the slope

when we find the slope from both points we find that they both have a slope of 16/3

therefore... the lines are parallel

what are you doing for math

Answers

algebra.............

This is not an academic question and cannot be answered by Brainly contributors. Happy holidays!

10. Pure Water Supply Co. distributes small cone shaped paper cups to dispense near water coolers. The diameter of each cup is 3 inches and the slant height of each cup is 3.5 inches. What is the approximate height of the cup? 3 in. ?​

Answers

Answer:

159.2cm

Step-by-step explanation:

The volume of cone is given by :-

Given: The diameter of paper cups = 8 cm

Thus, the radius of paper cup (r)=

The height of paper cup (h)= 9.5 cm

Now, the volume of paper cup will be :-

Hence, the  best approximation for the volume of the paper cup

159.2 cm hope this helps

HELP PLEASE ITS SO HARD IM CRYING PLS HELP

Answers

Answer:

I think it might be d

Step-by-step explanation:

Im not completely sure, BUT YOU GOT THIS

Which of these equations has no solution 6(x - 2) = 6x - 3
2(x - 3) = 2x - 6
3(x - 2) = x - 6

Answers

go with your heart if you think that your heart is telling you something just go with it trust your instinct

slove the product of
[tex]1345 \times {10}^{1} = ?[/tex]
then explain how you moved the demal to get the product ​

Answers

Answer:

1.345

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.
Work out 5.9 + 3.172

Answers

Answer:

9.072

Step-by-step explanation:

Answer:

9.072

Step-by-step explanation:

For this problem, we will simply use the property of 0 and addition to accumulate a sum.

Note, any digit not shown to the right of a decimal can be written with a zero. So 5.9 can be rewritten as 5.900.

Let's perform the addition.

5.900

+ 3.172

-----------

9.072

Using the idea of zeros to the right of the decimal, we are able to trivially complete this sum.

Hence, the answer is 9.072.

Cheers.

The coordinates of the turning point of the graph of
y = x
2 − 8x + 25 is (4,9).
Hence describe the single transformation which maps
the graph of y = x

2 onto the graph of

y = x
2 − 8x + 25.

Answers

Answer:

(x + 4), (y + 9)

Step-by-step explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).

For every | | followers Matthew has, Kevin has | |followers.


PLEASE HELP ILL MARK BRAINLEST

Answers

Answer:

For every 5 followers Mathew has, Kevin will have 10

Step-by-step explanation:

Answer:

For every 5 followers Matthew has, Kevin has 10 followers.

Step-by-step explanation:

Olivia is making model cars to go on shelves in her room. The number of wheels she uses is a function of how many cars she makes: if she makes 1 car, she uses 4 wheels; if she makes 2 cars, she uses 8 wheels; if she makes 3 cars, she uses 12 wheels; and so on. She has exactly 28 wheels she can use to make cars. What is the domain and range for the function?

Answers

Answer:

Domain = 1 to 7

Range = 4 to 28

Step-by-step explanation:

Given that:

Number of wheels used is a function of number of cars manufactured.

Number of wheels present = 28

1 car uses 4 wheels

2 cars use 8 wheels.

3 car uses 12 wheels

and so on.

Let the function be of the form:

[tex]y =f(x)[/tex]

Domain of the function is the value of [tex]x[/tex] that can be given as valid input to the function.

Range of the function is the value of [tex]y[/tex] that can be output of the function.

Let [tex]x[/tex] be the number of cars manufactured.

Then value of [tex]y[/tex] is nothing but [tex]x[/tex] times 4.

[tex]y=4x[/tex]

We are given that maximum value of [tex]y[/tex] can be 28.

[tex]28 = 4x\\\Rightarrow x =7[/tex]

Therefore, maximum value of input can be 7.

Minimum number of wheels can be 4 to make a minimum of 1 car.

Therefore domain is 4 to 28 and range is 1 to 7.

Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees

Answers

Answer:

✔ 360°

Identify the following angle measures.

m∠2 = ✔ 60

m∠4 = ✔ 150

m∠6 = ✔ 90

Step-by-step explanation:

i just finished answering the question

Answer:

C

B

B

C

Step-by-step explanation:

for the lazy ppl

14. Susan went on a bus at 5:07 pm and got off at 6:32 pm. How long was 1 point
her journey?*
O 60 minutes
O 85 minutes
O 90 minutes
O 105 minutes​

Answers

Answer:

susan took a detour with a stranger she told me so

Rewrite y= 16X+64 +3 to make it easy to graph using a translation. Describe the graph.

Answers

Answer:

C

Step-by-step explanation:

Other Questions
La slaba es la unidad ensecial de sonido, y requiere una vocal.True or False Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings please help i have been stuck on this for so long :( Need help with 20-23 please. geometry Select the correct answer.What is the simplest form of the ratio 40:16?.20:8OB.10:4OC.5:4OD5:2OE.10:8 Angie and her friends ate 3/4 of a pizza. Her brother Joe ate 2/3 of what was left, How much of the original pizza did Joe eat? Please and thank you! Find the lateral area of this cone.Round to the nearest tenth.Hint: Lateral Area of a Cone = urlWhere l = slant height15in12in[?] in2 Dolly and Willie's scores are shown. Dolly claims that she is the better student, but Willieclaims that he is the better student. What statistics make either Dolly or Willie seem likethe better student? Drag and drop the correct word into each box to complete theexplanation. 3.12.1 - Test: Stylistic Imprints Unit TestSY 20/21 Exploring Music II (CL), 7.20 / 3. Stylistic Imprints / 3.12. Stylistic Imprints Unit Test1.What did Arnold Schoenberg, Anton Webern, and Alban Berg call themselves? A. the First Viennese School B. the Second Viennese School C. the Twentieth-Century Composers D. the Schoenberg School2.Twelve-tone music is an example of what period? A. Renaissance B. Impressionist C. Romantic D. Modern3.Secular music refers to what type of music? A. improvisation B. non-religious C. quartets D. soloists4.Which composer is credited with inventing 12-tone music? A. Maurice Ravel B. Claude Debussy C. Alban Berg D. Arnold Schoenberg5.In a fugue, the melody is referred to as what? A. an episode B. the subject C. the counter subject D. the answer6.In a fugue, the melody is referred to as what? A. an episode B. the subject C. the counter subject D. the answer Mrs Jonas has 35 students in her math class. If her class increases to 42 students next year what will be the percent of change? A) 335B) 93%C) 75%D) 20% 1. Explain how demand works in economics? Socialization, as a sociological term, describes? Is this graph a function? why or why not. start fraction 5.2 over 3.5 end fraction equals start fraction y over 7.5 end fraction A. 7.25 B. 11.14 C. 5.05 D. 2.43 Why did people travel west?To be freeTo find goldTo find farmlandfind buffalo whole grain rye flour that produces dark coarse loaves when used to make bread Muscles in a kangaroos legs work because of the cells that make up the muscle. Which component of cell theory does this best illustrate?A. All living things are made of cells.B. Cells are the basic unit of structure and function of all living things.C. All cells come from other cells.D. Cells are generated from nonliving materials. What was one of the main goals of the Crusades?A. To destroy the Christian Byzantine Empire B. To form partnerships with Muslim empiresC. To reduce the power of European kingsD. To open new markets to European trade Given that 12x=15y, identify the ratio of x to y in simplest form. Answer the questions and write short paragraphs per each