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
Snezhnost [94]
3 years ago
15

The line L passes through the points (0, –2) and (6, 1). Find an equation of the line L.

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
5 0

Answer:

an equation of the line L will be: y = 1/2x - 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (0, -2)
  • (6, 1)

Determining the slope between (0, -2) and (6, 1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)

m=\frac{1-\left(-2\right)}{6-0}

m=\frac{1}{2}

The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the point (0, -2), we can determine that at x = 0, the value of y = -2.

Thus,

The y-intercept b = -2

now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation

y = mx+b

y = 1/2x + -2

y = 1/2x - 2

Therefore, an equation of the line L will be: y = 1/2x - 2

Agata [3.3K]3 years ago
3 0
The equation for line L is, y=-1/6x+2
You might be interested in
The golden ratio is a solution to a quadratic equation.
Crank

Answer:

Below.

Step-by-step explanation:

a.    Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25)      (We only take the positive root).

Φ  = 0.5 + √(1.25)

b. I used Completing the square.

c.  Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.

6 0
3 years ago
Please anyone help me on this...​
OLga [1]

Answer:

The 2nd choice ( the one that starts with square root of 5 )

Step-by-step explanation:

I turned all of the choices into decimals so they had the same playing field then I put them from least to greatest and I got square root of five, 5/2, 2.717171717171, 2 and 3/4.

7 0
3 years ago
Read 2 more answers
I will mark BRAINLIEST for the right and well explained answer!
Mademuasel [1]

The three interior angles of any triangle add to 180 degress.  Therefore,


180-(120 + 40) = the third angle.


So, 20 is the third angle

7 0
3 years ago
Read 2 more answers
ASAP PLEASE!
Kitty [74]
Hello!

You divide the total time by the time unit for the slope

54 / 3 = 18

Multiply this by how height the cart goes

4 * 18 = 72

The answer is 72

Hope this helps!
3 0
3 years ago
Read 2 more answers
The first term of an arithmetic sequence is 4 and the tenth term is 67.
serg [7]

Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

8 0
3 years ago
Other questions:
  • Some number is tripled and then cut in half.The result is increased by 5, and is equal to 20
    6·1 answer
  • PTG has side lengths of 12 cm, 25 cm, and 19 cm. Which type of triangle is PTG?
    6·1 answer
  • the greatest of four consecutive even integers is 14 less than twice the smallest integer. what are the integers​
    7·1 answer
  • A window shaped like a paralleogram has an area of 18 1/3 square feet. The height of the window is 3 1/3 feet. How long is the b
    13·1 answer
  • there are 10 less trumpet players than saxophone.The number of saxophone players is 3times the number of trumpet players.How man
    5·2 answers
  • nick has to build a brick wall. Each row of the wall requires 6/2 bricks. There are 10 rows in the wall. How many bricks will ni
    10·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • What is the perimeter of a triangle with side lengths of 5 cm, 8 cm, and 9 cm?
    5·1 answer
  • 3(x+1)-6=5x - 2(1+x)
    13·1 answer
  • In 1985, the average ACT score was 18 with a standard deviation of 6. Also in 1985, the average SAT score was
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!