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
algol13
4 years ago
10

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

Mathematics
2 answers:
joja [24]4 years ago
5 0

Answer: 5x-3y=30

Step-by-step explanation:

We know that the equation a line in point-slope form passing through points (a,b) and (c,d) is given by :-

(y-b)=\dfrac{d-b}{c-a}(x-a)

Then , the equation a line in point-slope form passing through points C(3, –5) and D(6, 0) is given by :-

(y-(0))=\dfrac{0-(-5)}{6-3}(x-6)\\\\\Righarrow\ y=\dfrac{5}{3}(x-6)\\\\\Rightarrow\ 3y=5x-30\\\\\Rightarrow\ 5x-3y=30

Hence, the equation of line CD in standard form  : 5x-3y=30

babymother [125]4 years ago
3 0
To answer the problem above, we can start with the formation of the point-slope form of a line. The slope is solved through,

                                    m = (y2 - y1)/(x2 - x1)
                                     m = (0 - -5)/ (6 - 3) = 5/3

The point - slope form of the equation of the line is,

                                    y - y2 = m(x - x2)

Substituting the known data, 

                                   y - 0 = (5/3)(x - 6)
This simplifies into, 

                                    y = 5x/3 - 10

Thus, the standard form of the equation is, 

                                      5x - 3y = 30

You might be interested in
An athlete eats 45 g of protein per day while training. How much protein will she eat during 17 days of training?
My name is Ann [436]
She eats 45 grams of proteins per day. There is 17 days.

Multiply the two numbers together.

45 x 17 = 765.

the Athlete eats 765 grams of protein during those 17 days of training.


hope this helps
3 0
4 years ago
Read 2 more answers
A rectangular prism has a length of 6 meters, a height of 8 meters, and a width of 5 meters. What is its volume, in cubic meters
KiRa [710]

Answer:

240

Step-by-step explanation:

length x width x height

6 x 5 x 8

7 0
2 years ago
Read 2 more answers
If there are 48 fish and half of them drown, how many of them are left? My teacher said that this was a hard question, so it's w
Elenna [48]
There would be 24 fish left because 48/2 = 24 
7 0
3 years ago
Read 2 more answers
Is the expected wait time for 240 people less than, greater than, or equal to 40 minutes? How do you know?
Morgarella [4.7K]

Answer

Less than

Step-by-step explanation:

Because 40min is equal to 2400 seconds

6 0
3 years ago
2.
charle [14.2K]
The answer might be D:)
3 0
3 years ago
Other questions:
  • Find the quotient of (5+2i)(6-4i)/(2+i)
    7·1 answer
  • Kira and ahmad walk around a track. Kira walks each lap in 10 minutes.Ahmad walks each lap in 12 minutes. The two of them begin
    8·1 answer
  • 2. A cookie recipe calls for 2 cups of brown sugar and 3 cups of flour. If a baker increases the recipe and uses 12 cups of flou
    13·2 answers
  • as a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly base pay plus commission on all that she sells. If
    11·1 answer
  • Solve: (8-u)-(5u+1).
    13·2 answers
  • An airplane on autopilot took 7 hours to travel 4,977 kilometers. What is the unit rate for kilometers per hour?​
    9·1 answer
  • PLEASE HELP ASAP, HAVE TO TURN IN! I only need help with the first equation.
    7·1 answer
  • What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
    10·1 answer
  • What is jk? Please help asap!!!
    14·1 answer
  • Solve the following equation for x 13x2 - 5 =0
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!