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
MAVERICK [17]
3 years ago
7

Which equation represents the line that passes through (-6, 7) and (-3, 6)?

Mathematics
1 answer:
Degger [83]3 years ago
8 0

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

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 6,7)\\(x_ {2}, y_ {2}): (- 3,6)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {6-7} {- 3 - (- 6)} = \frac {-1} {-3 + 6} = \frac {-1} {3} = -\frac {1} {3}

Thus, the equation of the line is of the form:

y = - \frac {1} {3} x + b

We substitute one of the points and find b:

6 = - \frac {1} {3} (- 3) + b\\6 = 1 + b\\b = 5

Finally, the equation is:

y = - \frac {1} {3} x + 5

Answer:

y = - \frac {1} {3} x + 5

You might be interested in
Heres my question: A water park keeps track of the number of times each visitor goes down water slides during their visit . The
Yuri [45]

According to the calculation, each visitor went down, on average, 11.41 times.

<h3><u>Averages</u></h3>

Given that a water park keeps track of the number of times each visitor goes down water slides during their visit, and 12 visitors went down a water slide 4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11 and 1 times, to determine the average number of times each visitor went down, the following calculation must be performed:

  • (4 + 22 + 16 + 10 + 11 + 20 + 20 + 12 + 6 + 3 + 11 + 1) / 12 = X
  • 137 / 12 = X
  • 11.41 = X

Therefore, each visitor went down, on average, 11.41 times.

Learn more about averages in brainly.com/question/897199

5 0
2 years ago
Negative five-fourths times a number and six is less than twelve.​
kodGreya [7K]

Answer:

-5/4x +6 < 12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Identify the graph of 5-i
Minchanka [31]

Answer:

I not sure what the question is

Step-by-step explanation:

5 0
2 years ago
a gift box is 4 inches long 5 inches wide and 8 inches tall how much wrapping paper will it take to wrap thr box?
Natalka [10]
The answer is 160. U multiply all. PUT ME AS BEST
3 0
2 years ago
Jill earn $15 per hour babysitting class a transportation fee of five dollars per job. Write a formula for E, Ji Jill earn $15 p
daser333 [38]
Since you know the amount of what she earns you would use the number 15 and you dont know how long she worked you would put "x" next to the 15. so you would have 15x and then put a plus 5 to show her transportation fee. so you would have the equation of 15x+5:) and instead of x use h to show hours because h=hours

you feel me?
great!
6 0
3 years ago
Other questions:
  • In 1997, there were 43.2 million people who used free weights. Assuming the use of free weights increases 6% annually, which equ
    7·1 answer
  • Write a recursive formula to represent the total height of the nth stair above the ground if the height of each stair is 18 cm.
    12·1 answer
  • In how many ways can a gymnastics team of 4 be chosen from 9 gymnasts?
    6·1 answer
  • Find the area of of the rectangle with the given base and height.<br> 2ft 4in<br> ANSWER IN FEET
    10·1 answer
  • If 400g; 1kg<br>find the ratio in <br>Simplest form.<br>​
    5·1 answer
  • The diameter of a circle is 4 centimeters. What is the length of a 45° arc?​
    15·1 answer
  • Subtract the sum of 5/9 and -2/9 from the sum of 7/12 and -5/12​
    7·2 answers
  • What is x? Super confused
    14·1 answer
  • If your take-home pay is $64,800 a year, what is the maximum amount that
    11·1 answer
  • Tuition at valley view community college costs $6,750 this year. ted has $550 saved. he also received a grant for $2,500 and a s
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!