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

Find an equation of the line L.

Answers

Answer 1
The equation for line L is, y=-1/6x+2
Answer 2

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 slopeb is the y-intercept

Given the points

(0, -2)(6, 1)

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

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]

[tex]m=\frac{1}{2}[/tex]

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


Related Questions

x 0 1 2 3 y 8 1 −6 −13 Is the relationship a linear function? How do you know? A. No; the change in x and the change in y is not constant. B. Yes; the change in x is constant and the change in y is not constant. C. Yes; the change in x is constant and the change in y is constant. D. No; the change in x is not constant and the change in y is constant.

Answers

Answer:

The correct option is C) Yes; the change in x is constant and the change in y is constant.

Step-by-step explanation:

Consider the table shown.

x     y

0    8

1     1

2   -6

3   -13

Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.

Consider the change in x coordinate.

1-0=1,  2-1=1 and 3-2=1

Now consider the change in y coordinate.

1-8=-7,  -6-1=-7  and -13-(-6)=-13+6=-7

Since the change in x and y is constant the given relationship is linear.

Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.

At McGriff’s Restaurant, 4 hamburgers cost $14.60. At this rate, What is the cost of each hamburger in dollars and cents?

Answers

Answer:

$3.65

Step-by-step explanation:

$14.60/4 = $3.65

So, each hamburger costs $3.65.

Answer:

the answer is 3.65. Hope that helps

21 points.

List the vocabulary word given in each diagram.

Answers

Answer:

1. Median

2. Point of Concurrency

3. Centroid

4. Incenter

5. Concurrent Lines

6. Circumcenter

7. Altitude

8. Orthocenter  

9. Vertices

(I'm not sure if the entirety of the vocabulary words are accurate, but they make sense.)

A map has a scale of 1 cm to 14 km.
On the map, the distance between Manchester and London is 18.8 cm.

What is the real distance, in km, between Manchester and London?

Answers

Answer:

Real distance between Manchester and London = 263.2 km

Step-by-step explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km

Please help me answer this question. Can you the doc

Answers

Answer:

I opened the doc but what's the question..? I only see attendance..

Step-by-step explanation:

Rewrite 5 X 2/3 using a whole number and a unit fraction

Answers

Answer: 3 1/3

Step-by-step explanation:

Im assuming the big ol "X" is a multiply sign.

The answer is three and one third.

Pls help pls I’ll mark u brain

Answers

Answer:

In the third month, Becca walks 7 dogs.

I think the answer is 7 dogs

Jason had 246 dollars to spend on 6 books.after buying them he had 12 dollars. How much did each book cost?

Answers

Answer:

1 book = 41 dollars.

Step-by-step explanation:

If you divide your whole by your part, then you will get how much 1 book is.

how i did it:

246 divided by 6 = 41.

1 book = 41 dollars


Solve 3x+3/5>=4/5

Answer:

Answers

Answer:

=0

Step-by-step explanation:

Solution:

3x+3/5 = 0

3•x+3/5 = 0

15x = -3

x = -1/

5

= -0.2

Kristen's school is due west of her house and due south of her friend Cooper's house. The
distance between the school and Cooper's house is 9 miles and the straight-line distance
between Kristen's house and Cooper's house is 10 miles. How far is Kristen's house from
school? If necessary, round to the nearest tenth.
miles

Answers

Answer:

Kristen's house is 4.4 miles away from her school

Step-by-step explanation:

Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

[tex]c^2=a^2+b^2[/tex]

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

The situation described in the problem forms a right triangle shown in the image below.

Applying Pythagora's Theorem :

[tex]10^2=9^2+x^2[/tex]

Solving for x:

[tex]x^2=10^2-9^2[/tex]

[tex]x^2=100-81=19[/tex]

[tex]x=\sqrt{19}=4.4[/tex]

Kristen's house is 4.4 miles away from her school

Simplify
4x - 3(2 + x) +6y

Answers

Answer:

x + 6y - 6

Step-by-step explanation:

Answer:

x+6y-6

Step-by-step explanation:

what is the equation for the following function *remember that the slope is 7/2​

Answers

f(x) = 7/2x - 2

Step-by-step explanation:

f(x) = mx + b

m being slope

b being y intercept

A serving of chickpeas contains 2,150 milligrams of potassium. How many grams of
potassium is that?
A serving of chickpeas contains
grams of potassium.

Answers

Answer: 109 mg

Step-by-step explanation:

What is the range of f?

Answers

Answer: {-4, -3, 1, 5}

Step-by-step explanation:

The range of a function is the set of x-values.

The number of fish in a lake decreased by 25% between last year and this year.
Last year there were 60 fish in the lake. What is the population this year?

Answers

the population would be 45 fish

Answer: This population, the population is 45 fish.

Step-by-step explanation: This problem can be solved by a rule of three.

Last year there were 60 fish in the lake. That was 100, that is, decimal 1.

This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So

60 fish - 1

x fish - 0.75

This population, the population is 45 fish.

PLS HELP ME WITH IS QUESTION

On each plant in a garden
there are 8 leaves and half
a dozen flowers. There is a
total of 98 flowers and
leaves.

How many plants are
there in the garden?​

Answers

Answer:

There are 7 plants in the garden.

Step-by-step explanation:

8 + 6 (Half dozen) = 14

98 divided by 14 = 7

I hope I helped.

please help:( enakskkwksm​

Answers

the perimeter means you add up all the sides
so you do

(12b-8) + (12b-8) + (9b+8)
now you just add the like terms

12b+12b+9b = 33b
-8+-8+8= -8
so the perimeter is 33b-8

Factor -5 out of -5d + 30

Answers

Answer:

ans below

Step-by-step explanation:

-5(d+6)

Answer:

-5(d-6)

Step-by-step explanation:

When factorising, you need to factorise from all the terms.

Factorising -5 from:

-5d: -5d ÷ -5 = d

30: 30 ÷ -5 = -6

Thus, the answer is -5(d-6)

What is the slope of the following linear function: 3x + 4y = 20?
A) 3
B) 4
C) 20
D) None of these

Answers

I think it would be B.

I NEED MORE HEEEEEEEEEEEEEEEEEELPPPPPPP
I hate dum maths​

Answers

Answer:

Its in quadrant 3rd

Step-by-step explanation:

it goes

2  l  1

____

3  l  4

For the quadrants.

PLEASE PLEASE HELP ME I WILL MARK BRAINLIEST

Answers

Answer:

a) x = 2   b) y = 5

Step-by-step explanation:

For a)

NOTE: Since line EC bisects angle FEG, it will be divided into 2 equal parts

angle FEG = 58

angle FEC = 11x + 7

angle CEG = 11x + 7

So:

58 = (11x + 7) + (11x + 7)

58 - 7 - 7 = 11x + 11x

44 = 22x

x = 2

For b)

angle AED = 16y + 10

angle AED = 90°

90 = 16y + 10

90-10 = 16y

y = 80/16

y = 5

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Tbh you c u t e ;)
No capppppppppppppppppppppppppppppppp​

Answers

Answer:u 2

Step-by-step explanation:

Find the area of the shaded region. Round your answer to the nearest hundredth.
6 m
IT T
24 m
The area is about
square meters

Answers

The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.

Area of a circle

area = πr²

where

r = radius of the circle

The area of the shaded portion is the difference of the area of the large and small circle.

Therefore,

area of the large circle = πr²

area of the large circle = 3.14 × 24²

area of the large circle = 3.14 × 576

area of the large circle = 1808.64 m²

Therefore,

area of the small circle = 3.14 × 6²

area of the small circle = 3.14 × 36

area of the small circle = 113.04 m²

The area of the shaded region  = 1808.64 - 113.04 = 1695.6 m²

learn more on area here: https://brainly.com/question/16761235

can someone give me motivation?
you dont have to mean it itd just be really nice to hear someone say "you can do it!" \
by the way theres no actual question here i just really want encouragement

Answers

Answer:

YOU ARE AWESOME! YOU ARE CARED ABOUT AND LOVED! YOU CAN DO THIS!

Step-by-step explanation:

Answer:

you can do it!

Step-by-step explanation:

I actually mean it

Domingo is replacing the baseboards in his home and calculates that he will need 637.5 feet of wood. When he travels to the hardware store, he discovers that baseboards are sold in 7.5-foot lengths. How many boards will Domingo need to purchase?

Answers

Answer:

Number of boards= 85

Step-by-step explanation:

Giving the following information:

Total wood required= 637.5 feet of wood

The baseboards are sold in 7.5-foot lengths.

To calculate the number of boards, we need to use the following formula:

Number of boards= total wood required / foot per board

Number of boards= 637.5 / 7.5

Number of boards= 85

This is 9th grade math please help I’ll post a pic

Answers

no it’s not a solution

Can some one make question for me so I can get 4 more brainliest

Answers

Answer:

yeahhh no. go answer questions.

sure what should i call it?

can i have brainliest on this one?

kind of like were giving each other one?

Jeremy is plotting a line with a slope of 3. He starts by plotting the point (-4,-3). He then plots a second point on the line 6 units to the right, and k units up. His value of k must be a. 9 b. 18 c. 2 d. 24

Answers

Answer:

27

Step-by-step explanation:

Slope = 3

(-4, - 3) (6, k)

(y2 - y1) /(x2 - x1) = 3

(k + 3) / (6 + 4) = 3

(k +3) / 10 = 3

k + 3 = 30

k = 30 - 3

k = 27

Is 5 a solution to the compound inequality “-3 < x < 6”

Answers

Answer:

no I dont thinks sorry if I'm wrong

A video store is offering 20% off all outdated videos. Let s be the original price of the purchase. Use the expression s-0.2s for the new price of the purchase. Write an equivalent expression by combining like terms.

Answers

Answer: The equivalent expression is:

new price = s*0.8

Step-by-step explanation:

When the original price of something is A, and we have X% off, the new price if that object will be:

New price = A - (X%/100%)*A

Like in this case, the original price is s, and the discount is 20%

Then the new price can be written as:

new price = s - (20%/100%)*s = s - 0.2*s = s*(1 - 0.2) = s*0.8

This is the equivalent expression we wanted to get.

 

Answer:

new price = s*0.8

Step-by-step explanation:

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