1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexxx [7]
3 years ago
14

Which equation is a point slope form equation for line AB ?

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

For this case we have that by definition, the equation of a line of the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}):It is a point through which the line passes

To find the slope, we need two points through which the line passes, observing the image we have:

(x_ {1}, y_ {1}): (1,6)\\(x_ {2}, y_ {2}): (5, -2)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-2-6} {5-1} = \frac {-8} {4} = -2

Thus, the equation is of the form:

y-y_ {0} = - 2 (x-x_ {0})

We choose a point:

(x_{0}, y_ {0}) :( 5, -2)

Finally, the equation is:

y - (- 2) = - 2 (x-5)\\y + 2 = -2 (x-5)

Answer:

y + 2 = -2 (x-5)

You might be interested in
Trigonometry problem. <br> Please show your solution and explain it. thank you !!
WINSTONCH [101]
Cute one!
<span>
</span>Summarizing:
<span>sec(acot(tan(asin(sin(pi/3))))  .... use asin(sin(x))=x
</span>=sec(acot(tan(pi/3)))
=sec(acot(sqrt(3)))  ......... use acot(x)=atan(1/x)
=sec(atan(1/sqrt(3)))
=sec(atan(sqrt(3)/3))  .... evaluate atan(sqrt(3)/3), use unit circle
=sec(pi/6)
=1/cos(pi/6)...... evaluate cos(pi/6), use unit circle
=1/(sqrt(3)/2)  
=2/sqrt(3)  .... now rationalize
=2sqrt(3)/3

7 0
3 years ago
Carrie spent
leva [86]

Answer:

24 dollars.

Step-by-step explanation:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

7/12 a + 8 = 22

7/12 a = 14

a = 14 x 12/7

a = 24

5 0
2 years ago
The schematic of a rectangular patio is drawn 1/4 inch to 1 feet. if the patio is 18 feet long, what is the measure of the patio
Aleksandr-060686 [28]
Try 4.5 inches. You take 18, divide it by four you get 4.5. I divided by 4 because of the 1/4 inch by 1 foot. Minus 2 from 18, you get the next closest dividend of 4 and that's 16. 16 divided by 4 is 4. 2 are left over to make .5. you get 4.5
6 0
3 years ago
Determine the inverse of the function. (show work please)
uysha [10]

Answer:

This is easy -- it's just a list of steps.  At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1:  Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2:  Switch the x and y

                   ( because every (x, y) has a (y, x) partner! ):

x = -( 1 / 3 )y + 1

STEP 3:  Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4:  Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:

5 0
3 years ago
Cami goes scuba diving. She descends 18 feet in 3 minutes. Which expressions represent the average rate at which Cami’s position
julsineya [31]

Answer:

6 ft/min

Step-by-step explanation:

Theres a neat trick to note; whenever you say per think of it as a fancy word for divide, because the label is always gonna be a/b (a per b)

Therefore,

the rate of feet per minute will be the feet divided by the minutes;

18 feet in 3 minutes = <u>18</u>/3 <u>ft</u>/min

Therefore the rate is 6 feet per minute.

<u>IF you need an explanation on what average rate implies:</u>

<em>Note; the word average is not prudent to answer as its extraneous, however if there was more data like "Cami descends 18 ft in 3 min and Nami descends 9 ft in 3 minutes; whats the average rate at which they descend" then you'd have to add the two rates up and divide by two.</em>

Hope this helps :)

7 0
3 years ago
Other questions:
  • Alice sold candy for a school fundraiser. Chocolate bars sold for$2.25 a piece, bags of chocolate covered peanuts sold for$1.85
    5·1 answer
  • A pot contains 32 ounces of soil. You use 3 ounces of soil to plant
    11·1 answer
  • -6(-n+4)= 18 help please​
    8·2 answers
  • In which quadrant of the coordinate plane is (a - 2, b + 3), if a = -3 and b = 4?
    5·1 answer
  • How do you convert a fraction to a decimal?​
    8·1 answer
  • There is 1/4 of a birthday cake left over. If 4 friends share it equally, what fraction of the entire cake will each friend rece
    10·2 answers
  • List the number of line segments<br> that have a posilive slope,<br> negative slope, zero slope
    6·1 answer
  • What is the difference? ​
    9·1 answer
  • A box contains 30 marbles, of which 8 are
    9·1 answer
  • What is 9,876 divided by 18?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!