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
Nataly [62]
3 years ago
7

A LINE PASSES THROUGH THE POINTS. what is the EQUATION OF THE LINE? (2,-4) and (6,10)?

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Hey there! :)

Answer:

y = 7/2x - 11

Step-by-step explanation:

Use the slope formula to calculate the slope:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in the coordinates:

m = \frac{10-(-4)}{6-2}

Simplify:

m= \frac{14}{4}

m = \frac{7}{2}

Slope-intercept form is y = mx + b. Plug in the slope, as well as the coordinates of a point given to solve for b:

10 = 7/2(6) + b

10 = 42/2 + b

10 = 21 + b

10 - 21 = b

b = -11.

Write the equation:

y = 7/2x - 11

You might be interested in
Graph -3.5 and -1.5 on the number line.
faust18 [17]

Answer:

ok i kow this hold on

Step-by-step explanation:

6 0
3 years ago
Complete the coordinate proof of the theorem.
mojhsa [17]
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)

the length of AC can be calculated with the theorem of Pythagoras:

length AB = a - 0 = a
length BC = b - 0 = b

seeing as the length of AC is the longest, it can be calculated by the following formula:

It is called "Pythagoras' Theorem" and can be written in one short equation:

a^2 + b^2 = c^2 (^ means to the power of by the way)

in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:

a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)

Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!


3 0
3 years ago
Read 2 more answers
A non-stop train leaves Lahore at 4:00 pm and reaches Karachi at 10:00 am the next day. The speed of the train was 70 km/hour. F
denis23 [38]

Calculate the number of hours between 4 PM and 10 AM:

4 PM to 4 AM is 12 hours.

4 AM to 10 AM is 6 hours

Total hours is 12 + 6 = 18 hours.

18 hours x 70 km/hr = 1,260 km total.

4 0
3 years ago
Without graphing, tell whether the line containing (4, 2) and (4, 9) is horizontal, vertical, or neither.
telo118 [61]

Answer:

Vertical.

Step-by-step explanation:

It is vertical because 4 + 4 (adding both X-axis, totalling 8) is smaller than 9 + 2 (adding both Y-axis, totalling 11), so the Y-axis, which is vertical, is bigger.

4 0
3 years ago
Point-Slope Form: y - 5= 3(x- 1) Standard Form: ​
Angelina_Jolie [31]

Step-by-step explanation:

y - 5 = 3(x - 1)

y - 5 = 3x - 3

3x - y = -2.

The standard form is 3x - y = -2.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the unit rate with the second given unit in the denominator<br><br> 4600 words in 60 min
    6·1 answer
  • The length of a rectangle is five centimeters more than its width, w. If the perimeter of the rectangle is 26 centimeters, what
    6·1 answer
  • What is the total number of digits required in numbering the pages of a book which has 53 pages?
    5·1 answer
  • How many possible outcomes are there when when a coin is tossed 3times
    7·1 answer
  • 35, 32, 29, 26 find common difference
    6·2 answers
  • Give the place and value. Then round the number to that place 49.21
    6·1 answer
  • HELPP PLEASE ASAP!
    7·1 answer
  • In the diagram below, KL = 12 and LM = 8. Which additional facts would guarantee that JKLM is a parallelogram? Check all that ap
    15·2 answers
  • Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
    5·1 answer
  • Shay is putting a square canvas painting in for her new room, and the area of the canvas painting is 196 cm².
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!