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]
2 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]2 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]2 years ago
3 0
The equation for line L is, y=-1/6x+2
You might be interested in
Can someone answer it thankyou:-) :-)
NikAS [45]
That's all the answers and the work and i also put the PEMDAS method that i used.

5 0
2 years ago
A rancher decreased the number of his
tamaranim1 [39]

Answer:

20%

Step-by-step explanation:

150-120 is 30

30 is 1/5 of 150

1/5 is .2, which is 20%

Hope that helps~

7 0
3 years ago
9.<br> Explain how to identify the opposite and adjacent legs of a given acute angle.
Luba_88 [7]

Answer:

Step-by-step explanation:

In an acute angle, the side facing an angle is always termed Opposite

whereas the other side usually not the longest though is the Adjacent. take for example both sides have an angle, the value of the angle you want to use, the side directly facing it is called Opposite, whereas the other side usually not the longest though is the Adjacent

7 0
3 years ago
A parallelogram has two
Hatshy [7]

Answer:

x + (x + 55) = 180

2x =125

The angle is 62.5 degrees

Double-Check

62.5 + (62.5 + 55) = 180

125 + 55 = 180

62.5 is the smaller angle

Step-by-step explanation:

6 0
2 years ago
If f(x) = 5x, what is f–1(x)?
Ahat [919]
To get the inverse of a function interchange
the x's with the y'x and solve for y, as follows:
y=5x-7


Interchange to get:
x=5y-7
Solve for y to get:
y=(1/5)x+(7/5)

so I think it might be c


4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 1.45,1 1/2,1 1/3,1.2 in order from least to greatest?
    13·1 answer
  • You are on a boat in the ocean at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C
    11·1 answer
  • Angles D and Fare<br><br> because they are<br> angles.
    11·1 answer
  • −3 1/0−(−2 1/0)
    14·1 answer
  • 3/6 times 2/6. Please show step by step directions I NEED HELP ASAP
    12·2 answers
  • Please show process!!!!<br> THANK YOU!<br> Will mark brainylist
    5·1 answer
  • Your 3rd quarter final will be in April. The test will be 100 points total and contain 35 questions.
    8·1 answer
  • How did architecture change during the Middle Ages?
    10·1 answer
  • G=b(a + D2)<br><br> Solve for A
    8·1 answer
  • PLS HELP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!