Determine the equation for the line that passes through (2,-1) and (6,5)
Write in point slope form
Write in slope intercept form
Write in standard form

Answers

Answer 1

Answer with explanation:

The equation of a line passing through (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passing through (2,-1) and (6,5) is given by :-

[tex](y-(-1))=\dfrac{5-(-1)}{6-2}(x-2)\\\\\Rightarrow\ (y+1)=\dfrac{6}{4}(x-2)[/tex]

[tex]\\\\\Rightarrow\ (y+1)=\dfrac{3}{2}(x-2)\ \ \ \ \ \text{[point slope form} : (y-y_1)=m(x-x_1)] \\\\\Rightarrow\ y+1=\dfrac{3}{2}x-3\\\\\Rightarrow\ y=\dfrac32x-4\ \ \ \ \ [\text{ slope intercept form} : y= mx+c]\\\\\Rightarrow\ 2y= 3x-2\times4\\\\\Rightarrow\ 2y=3x-8\\\\\Rightarrow\ 3x-2y=8 \ \ \ \ [\text{Standard form : Ax + By = C}][/tex]


Related Questions

The weight of one ticket is approximately 1.67 × 10-4 g. Write the numerical value without scientific notation.

Answers

Answer:

0.000167 g

Step-by-step explanation:

[tex]1.67 \times {10}^{ - 4} \: g\\ \\ = 0.000167 \: g[/tex]

Use the order of operations to simplify the following expression.
16+(14-6)x3-62-6
O 18
O None of the other answers are correct
O 78
0 34
O 12

Answers

none of the answers are correct it’s -28
I got -28, so I’m guessing it’s none of the other are are correct.

Is there anyone here who does Calvert or Odessy?

I was quite behind on my assignments, and, somehow, I go to catch up and they've been completed or something. It says I'm 100% on pace, and I know for a fact that I wasn't. What happened?

Answers

what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

Calculate the paychecks of the following people. Select the total hours and paycheck.

Answers

Answer:

If the numbers under the days of the week are the hours worked then the answers are Sue-40,$6.75,$270 Jerry-30,$5.15,154.5  Sam-38.75,$8.75,339 Step-by-step explanation:

Just add up the number of hours worked and multiply by the rate.

write a word problem for 8x - 5 = 40

Answers

Answer:

Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?

Step-by-step explanation:

Answer:

eight and a variable subtracted by five equals forty

Step-by-step explanation:

i need help on this one

Answers

Answer:

Is g(x)

Step-by-step explanation:

We search the roots of the function on this way

(x-1)^2 (x+2) =0

(x-1)^2 =0

x-1=[tex]\sqrt{0}[/tex]

x=1  ////

(x+2)=0

x=-2 ////

So (1,0) and (-2,0) are the roots of the function (as the image)

Whats 40% as a decimal and just a normal convo between me and my Childhood Bestfriend.

Answers

Answer:

0.4

Step-by-step explanation:

40% is 0.4

Remember the tenths places

Hope this help:)

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HELP PLEASE!!! Math question

Answers

Answer:

(a). [tex]\frac{3}{7}[/tex]

(b). [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]

    Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]

    Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1

    Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.

                                                            = 1 - [tex]\frac{4}{7}[/tex]

                                                            = [tex]\frac{7-4}{7}[/tex]

                                                            = [tex]\frac{3}{7}[/tex]

(b). Probability of winning the match + probability of not winning the match = 1

     [tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1

     Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]

                                                                   = [tex]\frac{13-9}{13}[/tex]      

                                                                   = [tex]\frac{4}{13}[/tex]

a group of 5 friends goes to a show. Each ticket cost $9, and the friends share a popcorn that cost $6. Which shows the total cost

Answers

Answer:

The total cost is $51

Step-by-step explanation:

The answer is 51 because 5 times 9 is 45 and 45 plus 6 is 51

.

Answer:

the total cost is $51.00 dollars

007
0.3
X
How to multiply .007 by 0.3?

Answers

Answer:

0.0021

Step-by-step explanation:

0.007 x 0.3= 0.0021

.007
X 0. 3
—————
Multiple
7x3 since the other are 0
You get 21 then add the 0
Your answer will be 0.0021

true or false 7b + 14bc = 5

Answers

Answer: False

Step-by-step explanation:

Hey there! 7b + 14b = 5 would equal 21b + 5 after you add 7b + 14b.

21b = 5 is false because it doesn't match with 5.

If the answer was true then it would be 5 = 5.

~I hope I helped :)~

Question
20 pts
There are 600 6th grade students who attend Falcon Cove Middle School. 17% of them
believe that Mr. Too Much should be fired for being the silliest teacher they have ever known.
How many 6th graders at Falcon Cove believe Mr. Too Much should be fired?
6th graders at Falcon Cove believe Mr. Too Much should be fired.
Question 2
20 pt

Answers

Answer:

u can ask the tutor and he or she will help u in real time and explain

Given the graph that is shown. What is the range of the function?

Answers

Answer:

B

Step-by-step explanation:

Range is Y and the point is -4 to 2

What are the missing angles?

Answers

1. 51
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59

I hope this helps!!

Which expression has a value of -22?

Answers

Answer:

−5 ⋅ 2 − 12

Step-by-step explanation:

The following histogram shows the height of basketball players what would be the best estimate of average height ?


A. 75in
B. 82in
C. 85in
D. 80in

Answers

Answer:

D

Step-by-step explanation:

11. In a swimming race, Yvonne swam 0.18 mile.
David swam 4 times as far as Yvonne. How far
did David swim?
(A) 2.2 miles
B
0.22 mile
C.7.2 miles
D
0.72 mile

Answers

Answer: D= 0.72

Step-by-step explanation: Because 0.18 times 4 is 0.72 miles.

Answer:

D. 0.72 miles

Step-by-step explanation:

Since David swam 4 times as far is Yvonne, he swam 4 times more than 0.18.  0.18 times 4 is 0.72.  If you want/need to do it in your head, just imagine 0.18 as 18, and that multiplied by 4 is 72.  then move the decimal point back over before the 7, to get your answer.  

Two of the other choices are clearly wrong because the actual answer is way less than the other choices (except for B).  One way to quickly figure out which two (or sometimes three) are wrong is by rounding 0.18 up to 0.2.  You can try this quickly because 0.2 is barely bigger than 0.18, and 0.2 is easy to multiply by 4.  The answer you would get from multiplying 0.2 is not exactly correct, but gives you a general idea.

Please help me please​

Answers

Answer:

To be honest I don't know I just need some points 1+1=2

Step-by-step explanation:

Use numerals instead of words.

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left.

If there were 75 cards in all, how many cards are left to be signed?

There are
cards yet to be signed.

Answers

Answer:

25 because is the steep between card

Answer:

32

I hope this helps

Which number line shows the correct placement of 20%, 1/3
and 2/3?

Answers

Answer:

the answer is option A why because its basiclly telling us that 1/3 and 2/3 are close to each other and they need to find the percent on how to get to the whole number in this case is 1

Step-by-step explanation:

Answer  A you welcome

Can you help find which are functions?

Answers

Answer:

A and C are Functions

Step-by-step explanation:

They pass the vertical line test.

The way you know if a set of coordinates are not a function is if they have multiple points that have the same Y value.

getting bored.Is there anyone???​

Answers

Answer:

yes very much so

Step-by-step explanation:

yes I don't know why but I am really and truly

Answer:

WOW yRRRRRR

Step-by-step explanation:


Laura can finish payroll in 3
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
hours

Answers

Answer:

1/2

Step-by-step explanation:

First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome

Answer:

15/8

Step-by-step explanation:

What is 3(2+q)+15 simplified

Answers

Answer:

The Answer should be....

3q + 21

Holly is making fruit salad. She bought 3 pounds and 3 ounces of fruit. How many ounces of fruit did she buy? *Needed ASAP​

Answers

Answer:

Step-by-step explanation:

do 3 x 16 = 48 + 3 is 51

What’s 4/5 divided by 3

Answers

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

remember when dividing with fractions, you are multiplying by the reciprocal.

this means

[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]

Answer:

the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26

5x+2(x+6)

A.7x+6

B.7x^2+12

C.7x+12

D.7x(x+6)

Answers

C. 7x+12 is the correct answer

Find the coordinates of the midpoint of a segment with endpoints A(-3,7) and B(8,-2)

Answers

Answer:

the midpoint is (2.5, 2.5)

A spherical balloon is being inflated with helium at a rate of 20π cm3/min. How fast is the balloon's radius changing when the radius is 1 cm?

Answers

Answer:

5 cm/min

Step-by-step explanation:

A spherical balloon is being inflated with helium at a rate of 20π cm³/min.

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(1)

Differentiate equation (1) wrt t as follows :

[tex]\dfrac{dV}{dt}=3\times \dfrac{4}{3}\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\ ....(1)[/tex]

Put dV/dt = 20π cm³/min and r = 1 cm, we can fin dr/dt

[tex]\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\\\\20\pi =4\pi (1)\times \dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=5\ cm/min[/tex]

So, the radius of changing at the rate of 5 cm/min.

Using implicit differentiation, it is found that the radius is changing at a rate of 5 cm/min.

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Applying implicit differentiation, the rate of change is of:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

A spherical balloon is being inflated with helium at a rate of 20π cm3/min, hence [tex]\frac{dV}{dt} = 20\pi[/tex]The radius is of 1 cm, hence [tex]r = 1[/tex].

Then:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

[tex]20\pi = 4\pi (1)^2\frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt} = \frac{20}{4}[/tex]

[tex]\frac{dr}{dt} = 5[/tex]

The radius is changing at a rate of 5 cm/min.

A similar problem is given at https://brainly.com/question/14004755

PLEASE HELP!! Algebra 2

Answers

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

----------------------------------------------------

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)

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