Write the equation of the line that passes through the points (0,8) and (6,-2). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer 1

Answer:

[tex]y - (-2) = (-5/3)\, (x - 6)[/tex].

.Step-by-step explanation:

The [tex]x[/tex]-coordinates of the two given points are different. Therefore, the line that goes through these points would not be vertical. Likewise, this line would not be horizontal since the [tex]y[/tex]-coordinates of the given points are different.

If a line in a plane is of slope [tex]m[/tex] and goes through point [tex](x_{0},\, y_{0})[/tex], the point-slope equation of this line would be [tex]y - y_{0} = m\, (x - x_{0})[/tex].

If a line in a plane goes through the points [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] (where [tex]x_{0} \ne x_{1}[/tex],) the slope of this line would be [tex]m = (y_{1} - y_{0}) / (x_{1} - x_{0})[/tex].

Since the line in this question goes through points [tex](6,\, -2)[/tex] and [tex](0,\, 8)[/tex], the slope of this line would be:

[tex]\begin{aligned} m &= \frac{8 - (-2)}{0 - 6} \\ &= \frac{10}{(-6)} \\ &= -\frac{5}{3}\end{aligned}[/tex].

Let [tex](6,\, -2)[/tex] be the point [tex](x_{0},\, y_{0})[/tex]. The point-slope equation of this line would be:

[tex]y - (-2) = (-5 / 3)\, (x - 6)[/tex].


Related Questions

CAN SOMEONE HELP PLEASE?

Answers

Answer:

D

Step-by-step explanation:

12 times 1/8 how do you cross multiply this

Answers

Answer:

12/1 times 1/8 = 1.5

Step-by-step explanation:

You multiply 12 by 1 to get 12, then divide 12 by 8 to get 1.5

answer: 12 x 1/8 = 12/1 x 1/8 = 12/8 = [ 4 x 3 ] / [4 x 2 ] = 3 / 2 = 1 and 1/2

4 x 100 + 8 x 10 + 9 x 1 + 8 x (1/100) + 5 x (1/1,000) in standard form.

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What’s standard form again? I forgot

math I need help please help

Answers

Answer:

whats the problem

Step-by-step explanation: ?

Three of the thirty computers are out of service (not working). What percent are working?

Answers

Answer:

Percentage of computers working equals:

90%

Step-by-step explanation:

Three of the thirty computers are out of service.

Number of computers working=30-3=27

Total computers=30

Percentage of working computers=

                                                       =  

                                                       = 90%

Hence, Percentage of computers working is:

90%

Answer :

90%

Step-by-step explanation:

3/30 = 10% and the remaining percent is 90%

Eighteen people are in a room. What is the minimum number of handshakes to occur to
guarantee that everyone has shaken everyone else's hand?

Answers

Answer:

153

Step-by-step explanation:

if im correct plz mark me brainliest!

Troy invests $540 in a savings account that earns a simple interest
rate of 2.3% annually. How much money will Troy have in
the account after four years assuming he does not deposit or
withdraw any money?
please help:)

Answers

wish i could help bro bro.

Answer/step-by-step explanation:

Well, we first need to find out what 2.3 of $540 is.

540 x 2.3 = 1,242.

Now, we need to find what the yearly interest rate is over the course of four years.

1,242 x 4 = $4,968.

Therefore, Trey will have earned $4,968 after four years.

To complete this problem, we need to add this to his original balance, or $540.

4,968 + 540 = 5,508

Therefore, Trey would make a total of $5,508 after four years.

Hope this helps! :D

1. Find the probability if a computer randomly picks a letter in the phrase, “ YOU WILL ALWAYS BE MY BEST FRIEND.”
a. The letter E
b. The letter L
c. The complement of letter E
d. The complement of letter L

2. Find the odds if a computer randomly picks a letter in the phrase, “ YOU WILL ALWAYS BE MY BEST FRIEND.”
a. The letter E
b.The letter L

Answers

1 b , 2 a ...................

1- (-16) and 11- (11) just in case this information is needed it's integers I'm doing this for extra credit

Answers

Answer:

?

Step-by-step explanation:

P= 2.50n - 300

How many candy bars must be sold to make a profit of $500?

Answers

5dgcfffvfccffffff did never nene even jelly meme me

Answer:

I need the answer

I dont know!!

Step-by-step explanation:

Find the midpoint of (2,-9) and (-4,-4)

Answers

(-1, -6.5). ************
The midpoint is (4,5)

An amusement park sold 6 discount tickets and 54 full-price tickets. What percentage of the
tickets sold were discount tickets?

Answers

Answer:

10%

Step-by-step explanation:

54 + 6 = 60

6/60 = 1/10 = 10%

Please help with this question, thank you.

Answers

Your answer would be: C. 1/2

Hope this helps, and merry Christmas!!

ILL GIVE BRANLIEST AND MANY POINTS

Answers

Percent change formula:

C = x    -   x

        2         1 / x

                            1

To calculate percent change we need to take the difference between the starting value and final value, divide by the absolute value of the starting value, and multiply the result by 100.

1. 72 is a 33.333% decrease of 108. Round is 33%.

2. 90 is a 20% increase of 75. Round is 20%.

3. 49 is a 75% increase of 28. Round is 80%.

The distance around the outside of cedar parks is 0.8 miles joanie ran 0.25 of the distance during her lunch break how far did she run

Answers

Answer:

If the total distance is 0.8km we need to multiply that amount by the proportion that she ran, which was 0.25 (one quarter or 25%). So 0.8km x 0.25 = 0.2km Looking another way, the word 'of' often means the same as 'multiply', so 0.25 of 0.8km = 0.25 x 0.8km = 0.2km Joanie ran a total of 0.2 km during her lunch break.

Step-by-step explanation:

HELP ME PLZ BRAINLIST 4 U

Answers

Answer:

G

Step-by-step explanation:

I think its G because i counted the numbers...and i pretty sure its not a Negative so yah

I need help solve this please ​

Answers

Answer:

A= (2,-3)           B= (7-4)           C= (4,1)

Step-by-step explanation:

Vertices are the corners of the triangle so we can just use the coordinate plane to find the position of the corners.

Need help ASAP pls!!!

Answers

Answer:

the answer is infinity

If a sample has a small standard deviation, we can say the scores in the sample are.

Answers

If a sample has a small standard deviation, we can say the scores in the sample are consistent.

Standard deviation is a measure of dispersion. It measures the variation of the scores from the central value of the distribution.

A data is said to be consistent when this variation is less. Such data are easy to handle for studies.

When it is difficult to study the very large population, we choose samples from the population randomly. Each of these samples also have its own standard deviation. When this standard deviation is small, then the data is more consistent. That is, the scores in the sample goes well with those in the population.

Learn more about standard deviation at https://brainly.com/question/475676

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(I NEED THIS DONE ASAP PLEASE) Lena wants to plant a new lawn, but she knows that it’s not safe to run a mower on a hill with a slope ratio steeper than 1 to 3 (Δy = 1, Δx = 3). She has two hills in her yard. Hill A rises 4 feet and has a horizontal distance of 85 feet. Hill B rises 75 feet and has a horizontal distance of 200 feet. On which hill(s) can Lena safely plant her lawn? Justify your reasoning clearly

Answers

Answer:

Hill A

Step-by-step explanation:

Steepness of hill A:

4/85 < 1/3

Steepness of hill B:

75/200 = 3/8 > 1/3

The hill A is less sloped so it is safer to lawn plant

tHE SPEED OF SOUND IN AIR IS 1100 FEET PER SECOND. THE SPEED OF SOUND IN STEEL IS 1500 FEET PER SECOND. ROBIN ONE EAR PRESSED AGAINST THE RAILROAD TRACK, HEARS A SOUND THROUGH THE RAIL SIX SECONDS BEFORE HEARING THE SAME SOUND THROUGH THE AIR. TO THE NEAREST FOOT HOW FAR AWAY IS THE SOURCE OF THAT SOUND

Answers

To the nearest foot the distance of source of that sound is 24,750 feet.

Given that;

Speed of sound in air = 1100 feet per second

Speed of sound in steel = 1500 feet per second

Time difference = 6 seconds

We have to find the nearest foot for the distance of source of that sound.

What is relation between distance, speed and time?

The relation between distance, speed and time is;

Speed = Distance/Time

We have;

Time difference = 6 seconds

Let the distance = x feet.

For the air;

Distance = x feet

Speed of sound in air = 1100 feet per second

Then, Time = Distance/speed = x / 1100

And, For steel ;

Distance = x feet

Speed of sound in steel = 1500 feet per second

Hence, Time =  Distance/speed = x/1500

Since, Time difference = 6 seconds

Hence, The equation become;

x / 1100 - x/1500 = 6

(1500x - 1100x)/1100*1500 = 6

400x = 6 * 1100 * 1500

x = 24,750 feet.

Hence, To the nearest foot the distance of source of that sound is 24,750 feet.

Learn more about the distance, speed and time visit:

https://brainly.com/question/2264091

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Which slope is the steepest?
y = 10x
y = 0.3x
y = 5x
y = 0.7x

Answers

Answer:

y = 10x

Step-by-step explanation:

*Remember the equation of a line is y = mx + b

Attached are each of the options graphed. As m increases, the slope becomes steeper. The blue line, y = 10x is the steepest of them all.

Hope this helps!

Jade’s weekly paycheck is $306.25. She makes $8.75 per hour. Divide to find the number of hours per week Jade works.

Answers

Answer:

35  hours a week

Step-by-step explanation:

306.25 / 8.75

35

Answer:

Jade works for a total of 35 hours per week.

Step-by-step explanation:

Since Jade's weekly paycheck is $306.35, and she makes $8.75 per hour, we need to divide the weekly amount by the hourly amount to find the amount of weeks that Jade works.

$306.25 ÷ $8.75 = 35

Therefore, Jade works for a total of 35 hours per week.

Hope this helps! :D

Find the quotient.
-245 - 35
a. -7
b. - 5
C. 5
d 7

Answers

a. -7 is your answer dear.

Step-by-step explanation:

Ur complete Question is like -245/35 = -7

-7 shshjsjahshajanbs

Height of place A is 1800 m above sea level. Another place Bis 700mbelowsea level. What is the difference between the levels of these places?

Answers

Answer: 2500 m

Step-by-step explanation:

A is located above 1800 m

B is located below 700 m

Sea level is the datum.

So, difference between A & B = 1800 + 700 = 2500 m

Just add A and B together and that gives you you’re answer which is 2500 m

solve 3/2 - 11/4
please anwser

Answers

Answer:

-1 1/4

Step-by-step explanation:

Answer:

-5/4

Step-by-step explanation:

3/2 into 6/4 to make the same denominator then do 6/4 - 11/4 which is -5/4

Please help asap ! Identify the value of x.

Answers

Answer:

x = 24

Step-by-step explanation:

Apply Pythagoras theorem:

[tex](Hypotnuse)^2=Base^2+Height^2\\(x+1)^2=(x)^2+(7)^2\\(x)^2+2(x)(1)+(1)^2=x^2+49\\x^2+2x+1=x^2+49\\x^2-x^2+2x+1-49=0\\0+2x+1-49=0\\2x-48=0\\2x=48\\x=48/2\\x=24[/tex]

Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?

Answers

Answer:

C

Step-by-step explanation:

used a calc and took test

for what base-6 digit $d$ is $2dd5 6$ divisible by the base 10 number 11? (here $2dd5 6$ represents a base-6 number whose first digit is 2, whose last digit is 5, and whose middle two digits are both equal to $d$).

Answers

The digits base is 7 then we should convert them into base 6.

The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logbn.

Here the conclusion is that there are many bases in the mathematics so what will happen is that we should convert these bases. For example, we have to convert base 10 of a number which is called decimal number can be converted into binary number whose base is 2 and after then if the digits base is 7 then we should convert them into base 6.

To learn more about power visit brainly.com/question/14265973

SPJ4

In triangle ABC,the measure of angle A is 78° and the measure of angle B is 35° What is the measure of angle C

Answers

Answer:

č= 67°

Step-by-step explanation:

x + 78+35=180

x + 113=180

x= 180-113

x= 67 degrees

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