Determine the slope and y-intercept of a line that passes through the points (-2, 12) and (4, -15).

Answers

Answer 1

Step-by-step explanation:

y²-y¹/x²-x¹

(-15)-(12)/4-(-2)

-3/6

=-0.5

y=mx+b

12=-0.5(-2)+b

12=1+b

12-1=b

11=b

Answer 2

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The slope of the line that passes through the points (-2, 12) and (4, -15) is -27/6

The y-intercept of the line that passes through the points (-2, 12) and (4, -15) is 3

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is y = mx + c.

The slope can be calculated.

Slope = (d - b) / )(c - a)

Where (a, b) and (c, d) are the two points on the line.

The line passes through (-2, 12) and (4, -15)
This means,

Slope = (-15 - 12) / (4 + 2) = -27 / 6

m = -27/6

The line passes through the point (-2, 12).

12 = -27/6 x -2 + c

12 = 9 + c

c = 12 - 9

c = 3

Thus,

The slope of the line that passes through the points (-2, 12) and (4, -15) is -27/6

The y-intercept of the line that passes through the points (-2, 12) and (4, -15) is 3

Learn more about equation of a line here:

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Related Questions

Martina took a math test and answered 17 out of 20 questions correctly. What percent of the questions did Martina answer correctly?

Answers

Answer:

85%

Step-by-step explanation:

Your host has the following configuration:

IP Address 192.168.44.65

Subnet Mask 255.255.255.224

Which of these addresses are on your same subnet? (Select all that apply)

192.168.44.76

192.168.44.96

192.168.44.56

192.168.44.86

Answers

Answer:

yes

Step-by-step explanation:

yes yes

yesyesyeay yes

QUACKITY SUPREMACY ALSO I NEED HELP WITH MATH

Answers

I can’t see the photo reload it please

Answer:

QUACKITY IS THE MOST POG PERSON EVER

Step-by-step explanation:

BECAUSE I SAID SO

PLEASE HELP I WILL BRAINLIEST, MY GPA RELIES ON THIS!! IM BEGGING HERE


1. The base of the prism is a trapezoid whose bases are 24 cm and 10 cm, and the shorter ones are 13 cm and 15 cm. Calculate the area and volume of the prism if its height is equal to the height of the trapezoid?​

Answers

Step-by-step explanation:

it's so much work, here's the first half untill i do the rest

i added the rest, i hope i helped somehow good luck!! :)

If Josiah’s speed, in miles per minute, is constant, what is the constant of proportionality?

Answers

Answer:

the constant of proportionality is 1 mile

Step-by-step explanation:

Please answer this question correctly for me, I'm doing 30 points for all my questions.

Answers

Answer:

B

Step-by-step explanation:

Two students are pulling an object with ropes. One student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground. What is the direction of the resultant force?

approximately 37.33° above the ground
approximately 42.27° above the ground
approximately 47.73° above the ground
approximately 53.13° above the ground

Answers

Answer: A. approximately 37.33° above the ground

Step-by-step explanation:

edge2020

The the direction of the resultant force is A. approximately 37.33° above the ground.

What's a resultant force?

A resultant force simply means the single force that has same effect as two or more forces that are acting together.

In this case, a student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground.

The direction of the resultant force is 37.33° above the ground.

Learn more about resultant force on:

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5) Mary drives 33 miles in 3/5 of an hour. After 6 hours of traveling, 1 point

how far will she drive? (Hint: Not just 1 hour, but 6 HOURS!) Don't

forget to include appropriate units with your answer, no

abbreviations please. *

Answers

Answer:

330 miles

Step-by-step explanation:

speed of marry  = distance traveled /time taken

=33/3/5 = 55 miles/hr

therefore distance travelled by marry in 6 hours = 55*6 = 330 miles.

what is the answer of 6 ( 9a - 5m )

Answers

Answer:

Step-by-step explanation:

6(9a - 5m)

Solution

(6 * 9a - 6 * 5m)

54a-30m "ANS"

Answer:

Step-by-step explanation:

6(9a-5m) foil

54a-30m

This graph shows a proportional relationship between time (m) and water used
(g). Find the constant of proportionality and use it to write an equation in the
form g=rm, wherer is the constant of proportionality. *
Water Use
50
40
30
Water used (gal)
20
10
o
2 4 6 8 10
Time (min)

Hurry pls and, thank you :)

Answers

Answer:

Use dezmos

Step-by-step explanation:

a car travels 55 miles per hour for 2 hours how far does the car travel in 1/2 of a hour 1 1/2 hour

Answers

Answer:

Suppose you travel a distance of 100 miles, and it takes 1 1/2 hours to do it. Your average speed is then 100 miles divided by 1.5 hours which equals 66.67 miles per hour.

Step-by-step explanation:

Answer:

for a half an hour the car travels 13.75 miles

Step-by-step explanation:

please help me with this question ​

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The leading term is of odd degree and negative coefficient. The odd degree tells you the end behaviors will have opposite signs. The negative coefficient tells you the left end behavior will be positive, and the right end behavior will be negative.

  [tex]\textbf{D. }\lim\limits_{x\to -\infty}f(x)=\infty\quad\lim\limits_{x\to \infty}f(x)=-\infty[/tex]

10x=6x-24

help!!!! me pleasee!!​

Answers

Answer:

x = -6

Step-by-step explanation:

10x = 6x - 24

Subtract 6x from both sides.

4x = -24

Divide both sides by 4.

x = -6

Sarah started 3 miles below the rim of the canyon and hiked until she was 8 miles above the rim. Her brother Sam said she hiked 5 miles. Sarah said she hiked 11 miles.
Who is correct and why?
A. Sam is correct because |3 – 8| = 5.
B. Sam is correct because |–3 – 8| = 5.
C. Sarah is correct because |–3 + 8| = 11.
D. Sarah is correct because |–3 – 8| = 11.

Answers

Answer:

D

Step-by-step explanation:

We can assume that the rim of the canyon is 0. Sarah started 3 miles below, so -3, BUT distance can never be negative, so it's considered 3 miles. Then, she went 8 miles above zero. So the 3 miles she went before reaching the rim plus the 8 miles she went after reaching the rim equals 11 miles.

So now we know that Sarah is right, but how do we know which equation is correct? Well, if we look at option C:

[tex]|-3+8|=11[/tex]

When solving absolute value, we solve everything within the absolute value before applying the absolute value. This means that we add -3+8 first, which equals 5, and then apply absolute value, which still equals 5. This equation is not correct.

I hope this helps!

Answer:

The answer is D

Step-by-step explanation:

I took the quiz.

the population of a country in 2009 was 642000 and it was increased by 5 % in 2010.
i-Find increase in population.



ii-How much was the population in 2010.


iii-Find percentage of increase over the population of 2009

Answers

Answer:

i) 32100 people

ii) 674100

iii) 5%

Step-by-step explanation:

The population in 2009 was : 642,000

The percent increase was by : 5%

This means the population in 2010 will be :

105/100 * 642000 = 674,100

i) Increase in population is ;  674,100 - 642,000 = 32100 people

ii) The population in 2010 was : 674,100

iii) Population of 2009 = 642000

   Population of 2010 = 674,100

   Increase in population = 674,100 - 642000 = 32100

   Percent increase = increase/ original population * 100

   Percent of increase = 32100/642000 * 100 = 5%

Is the equation y=2x-2 is proportional or non-proportional?​

Answers

Answer:

i believe their proportional

Step-by-step explanation:

cause they have a linear function

The diagram shows two straight lines.
Not drawn accurately
136°
Х
Work out the value of x.

Answers

Answer:

x = 136º

Step-by-step explanation:

This is true because of the vertical angles rule. With vertical angles, they always equal each other.

i think of a number add one and square the number. the result is 9. What number could it be?

Answers

Answer:

The answer is 2

Step-by-step explanation:

2 + 1 = 3

3^2 = 9

About % of the area under the curve of the standard normal distribution is outside the interval z = [ − 0.12 , 0.12 ] (or beyond 0.12 standard deviations of the mean).

Answers

Answer:

10? I did not learn this yet

Step-by-step explanation:

At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?

Answers

Answer:

7

Step-by-step explanation:

if you can explain it best, and answer them you'll get a brainliest

Answers

Answer:

11. -3 - (-8) = 5

12. -10 + (-25) = -35

13. -11 - (-10) = -1

14. 12 + (-5) = 7

15. -9 (9 + (-9) = 0)

Step-by-step explanation:

I don't really know how to explain it. For 11 I just found found the difference kind of. It's easier if you draw out a number line. 12 is self - explanatory, you just add the two negative numbers and it will be a negative. I look at 14 as just another minus equation.

Answer:

11. 5

12. -35

13. -1

14. 7

15. -9

Step-by-step explanation:

11. -3-(-8)

= -3 + 8 (double negative is positive)

= 8-3

= 5

12. -10 + (-25)

= -10 -25 (positive negative is negative)

= -35

13. -11 - (-10)

= -11 + 10

= -1

14. 12 + (-5)

= 12 - 5

= 7

15. 9 + x = 0

x = 0 - 9

x = -9

PLS GIVE BRAINLIEST

I NEED HELP ON THIS

Answers

Answer:

L'(-1,1)  M'(1,2)  N(1,-1)

Step-by-step explanation:

Now you just need to plot the 3 points and link them with lines and you will find the new triangle.

can you answer 20 x 3/4

Answers

Answer:15

Step-by-step explanation:

Answer15

Step-by-step explanation:

There is a elephant shaped weather vane at the top of a corn dryer tower that is 45 m high. If the weather vane weighs 190 N, wjat is the potential energy that the wether vane has?

Answers

Solution :

Given :

Height of the tower , h = 45 m

Weight of the weather vane, mg = 190 N

So the potential energy possessed by the weather vane is given by

E = m x g x h

where, E is potential energy

           m is mass

           g is acceleration due to gravity (taken as 10 m/s2)

           h is height

Therefore,

E = m x g x h

E = (mg) x h

E = 190 x 45

E = 8550 J

The figures are similar find x for both

Answers

First one is x=10 and second one is x=9

What would the graph of x > 5 look like?

Answers

Answer:

It  will look like this

Is this statement true or false? *
If an odd number is less
than 15, then it is prime.

Answers

Answer: That is false

Step-by-step explanation: 9 is odd but not prime

The statement "If an odd number is less than 15, then it is prime" is false because the number 9 is not prime.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

If an odd number is less than 15, then it is prime.

As we know,

The prime number is the number that has factors only 1 and itself the number.

The odd number is less than 15.

The odd number is less than 15 = {13, 11, 9, 7, 5, 3}

The statement "If an odd number is less than 15, then it is prime" is false

Because the number 9 is not prime.

Thus, the statement "If an odd number is less than 15, then it is prime" is false because the number 9 is not prime.

Learn more about the number here:

brainly.com/question/17429689

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Terrence was filling the new fish aquariums where he works. He was able to fill 1 and one-third aquariums in 2 and one-half hours. At this rate, how long will it take him to fill 4 aquariums? 5 and one-third hours 6 hours 7 and one-halfhours 10 hours

Answers

Answer:

c 7 1/2 hours

Step-by-step explanation:

Answer:

480 milligrams

Step-by-step explanation:

https://qui zlet.com/533176966/math-flash-cards/

What is the answer? Or how can I solve this.

Answers

Answer:

61.5 degrees

Step-by-step explanation:

A triangle has to add up to 180 degrees total

PLEASE MARK BRAINLIEST
Answer: 61.5

Explanation: A triangle adds to 180 degrees. All you need to do is subtract 57 from 180 and you should get 123. 123 divided by 2 is 61.5. Now, you should know that it’s 61.5 for for the other two angles because the little line that goes through the triangle on each side indicates that those two sides are congruent. If you want to check just add 61.5 + 61.5 + 57 and you should get 180. Hope this helps. :)

solve x-15% of x= Rs.170​

Answers

[tex]170 - ( \frac{15}{100} \times 170)[/tex]

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