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

what is the greatest common factor between 20 and 25

Answers

Answer:

5

Step-by-step explanation:

Mr Sanchez brought in 2 magazines for 9.95

Answers

Answer:

good for Mr. Sanchezbut thats a bit expensive ya know?????/

Step-by-step explanation:

Is there anymore info??

A 2-gallon jug of water costs $14.24. What is the price per quart?

Answers

Answer:

p

Step-by-step explanation:

p

fill in the blank to show an example of the symmetric property:
If JK = ST, then _ = __ ​

Answers

The answer would be ST=JK

what two numbers' sum=-4 and product=-2

Answers

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

what is the quotient of -0.05 ÷ -5/16​

Answers

Answer:

Step-by-step explanation:

-0.05 you will multiply with reversal of -5/16

-0.05 x (-16/5)= 0.01x16=0.16

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

Express 0.495 in standard form

Answers

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

4.95 x 10^-1 is your answer.

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

Answers

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maximum and minimum temperatures at which nitrogen is a liquid, x?



The equation that can be used to find the maximum and minimum temperatures is

Answers

Answer:

For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.

Hope this helps! :D

Please help me solve these problems! I'll give you all my brain points. IM DESPERATE!!!
:-;

Answers

Answer: kg

Step-by-step explanation:

if there are 250 fish in the lake and 50 more are added each year, write a linear equation

Answers

linear equation: y = 50x + 250

A family is calculating the cost for one semester of college next year. Each hour of class will cost $155. A scholarship gift of $64 can be deducted from costs. If h is the number of hours taken, and c is the total cost, which equation can be used to calculate the total tuition costs for a semester?

C=89h

C=155h+64

C=155h-64

C=-155h-64

Answers

Answer:

c=155h-64

Step-by-step explanation:

you mulitply the cost of the classes by the amount of hours, then you deduct the scholarship gift(64) from the total and get your total cost of the semester

4a I do not understand the process

Answers

Answer:

9/40

Step-by-step explanation:

He needs 5/8, he already has 2/5, so still needed is 5/8-2/5.

To add or subtract fractions, the denominators must be equal.

Simplest approach is to multiply them. 8 times 5 is 40, so 40 is the new denominator we need for both fractions.

So first we convert 5/8 to 25/40.

Then we convert 2/5 to 16/40.

Now we can subtract them:

25/40 - 16/40 = 9/40.

9/40 cannot be simplified so this is the final answer.

There are some basic rules you need to know to work with fractions. If above work is too fast, comment below for deeper explanation.

The answer is 9/40.

All you need to do is subtract 5/8 - 2/5 and to do that, you would need a common denominator. So just,

5 2
— —
8 5

Multiply the two bottoms to get 40 and do the same thing with the top that you did with the bottom so....

5 x 5 = 25
— —
8 x 5 = 40

2 x 8 = 16
— —
5 x 8 = 40

Subtract 25 - 16 = 9 and keep the denominator the same so 9/40 is your answer.

What is the equation of the line that passes through the point (-4,-6)(−4,−6) and has an undefined slope?

Answers

Answer:

x = -4

Step-by-step explanation:

there is no y-intercept when slope is undefined

Undefined slope indicates a vertical line passing through the x-axis at the x-coordinate of any known point

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

In ΔIJK, ∠K ≅∠J, IJ = 9 and JK = 10. Find the length of KI.

Answers

Answer:

KI = 9

Step-by-step explanation:

In ΔIJK,

∠K ≅∠J (given)

Therefore,

IJ ≅ KI (sides opposite to equal angles are equal)

Since,

IJ = 9

So,

KI = 9

how do u do this im confused

Answers

Answer:

Line one answers: -x^2.  2x^2.  0.  5x^2

Line two answers: -x^2.  12x^2.   -2x^2.   8x^2

Line three answers: 4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

Answer:

-x^2.  2x^2.  0.  5x^2

-x^2.  12x^2.   -2x^2.   8x^2

4x^2.  8x^2.   -x^2.   x^2

Step-by-step explanation:

I need help with number 21 please help!!!

Answers

Answer:

This is not a direct variation.

Step-by-step explanation:

Direct variation:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

(y varies directly with x with a constant variation of k)

[tex]y=kx;\ k\neq0[/tex]

[tex]y=kx\qquad|\text{divide both sides by}\ x\\\\\dfrac{y}{x}=k\Rightarrow \dfrac{y}{x}=constant[/tex]

[tex]21.\\\\x=y+2\qquad|\text{subtract 2 from both sides}\\\\x-2=y\qquad|\text{divide both sides by}\ x\\\\1-\dfrac{2}{x}=\dfrac{y}{x}\ro\dfrac{y}{x}=1-\dfrac{2}{x}\neq constant[/tex]

Find The Angle (See Image)

Answers

Answer:

do you how many there is 5 angles if thats what ur asking

Step-by-step explanation:

3x −4 = 11 what is the answer

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

the answer is x=5                              

You have 33 math and science problems for homework. You have 7 more math problems than science problems. How many problems do you have in each subject?

For this question type the two equations that you are using and your solution to the system.

Answers

Answer:

x=33/7         m=7+x

Step-by-step explanation:

33 divided by 7 is 5 (when rounded) then you add 5 to 7 and get 12. Hope this helped yu!! Give brainliest.

Answer:

x=33/7         m=7+x

Step-by-step explanation:

so if you divide 33 by 7 you get 4.71428571429 which would be 5 when rounded and then you add 5 to 7 to get 12 I HOPE THIS HELLPEEDD

Find the equation of a line that passes through the points (-1,3) and (3,5). Leave your answer in the form y = m x + c

Answers

Answer:

y

=

2

x

+

13

Explanation:

You can use point-slope form to determine the slope

m

:

y

2

y

1

=

m

(

x

2

x

1

)

Given:

p

1

=

(

x

1

,

y

1

)

=

(

3

,

7

)

p

2

=

(

x

2

,

y

2

)

=

5,3)

Finding the slope:

3−7=m(5−3)−4=2m⇒m=−2

Step-by-step explanation:

The body mass of a bird?
A) categorical
B)Discrete
C)continuous

Answers

Answer:

Categorical

Step-by-step explanation:

If Tamair has $100 & gives $40 to her best friend Tsion, but Tsion gives $20 to Tamair, how much money does Tamair have left?

A) 90
B) 80
C) Tamair is broke
D) Tsion is broke

Answers

Answer:

B) 80

Step-by-step explanation:

Thats my bestie so dont mess with her or its gonna be a problem

Jim is having a Halloween party for 60 children. He will give each child at least one candy bar. If each bag of candy contains 12
candy bars, which inequality gives the minimum number of bags, b, Jim will need to buy?
Yes

Answers

Answer:

5 bags of candy

Step-by-step explanation:

60/12= 5

Since there are 12 pieces of candy in each bag, 12*5= 60, so each kid can have 1 piece of candy.

Answer:

5<b

Step-by-step explanation:

8a x 2b ÷ 4c =
(I don't get it) ​

Answers

Answer:

The solution of the given equation is not possible. Because different variables never multiply or divide

:P HELLLP what is (13x20)5+6 = ___ - 1/3.

Answers

Answer: 1304.7

Step-by-step explanation: just took test

13x20. 5 + 6 = 11?
^. ^
260 11

What is c?



1.51=c10

c = can someone explain I'm a little confused >

Answers

Answer:

0.151

Step-by-step explanation:

1.51=c10

we divide 10 by both sides

1.51/10 = c10/10

we cancel 10/10 and 1.51/10=0.151

so

c=0.151

tell me if u need a more clear explanation

Answer: 15 hope this help's and if not please give a bad rating

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