A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
O y--3x+1
O y-5x+7
O y = -2x - 8
O y = 2x + 16

Answers

Answer 1

Answer:

[tex]\displaystyle y=-\frac{1}{2}x+1[/tex]

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Two points are given: (-6,4) and (-2,2). Calculating the slope:

[tex]\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}[/tex]

The equation of the line is, so far:

[tex]\displaystyle y=-\frac{1}{2}x+b[/tex]

To calculate the value of b, we use any of the given points, for example (-6,4):

[tex]\displaystyle 4=-\frac{1}{2}(-6)+b[/tex]

[tex]\displaystyle 4=3+b[/tex]

Solving:

b = 1

The equation of the line is:

[tex]\boxed{\displaystyle y=-\frac{1}{2}x+1}[/tex]

We can see none of the choices is correct.


Related Questions

A recycling center was offering cash for different types of recyclables. For each pound of paper recycled they offered $1.41, for each pound of aluminum they offered $1.53 and for each pound of plastic they offered $0.33. Jerry took in 5 pounds of paper, 15 pounds of aluminum and 6 pounds of plastic. How much money did he earn?

Answers

Answer:

Total amount earn = $31.98

Step-by-step explanation:

Given:

Cost of paper = $1.41

Cost of aluminium = $1.53

Cost of plastic = $0.33

Amount of paper = 5 pound

Amount of aluminium = 15 pound

Amount of plastic = 6 pound

Find:

Total amount earn

Computation:

Total amount earn = ($1.41)(5) + ($0.33)(6) + ($1.53)(15)

Total amount earn = $7.05 + $1.98 + $22.95

Total amount earn = $31.98

Slope intercept of (-2,2) (0,-2)

Answers

Answer:

-4/2

Step-by-step explanation:

please help me im stuck .................

Answers

Answer: Choice A) Empty set

This is another way of saying "no solutions"

============================================

Explanation:

Your teacher made a typo. The given inequalities will have boundary lines that both have positive slopes, not negative slopes. So the boundary lines should go uphill as you move from left to right.

See the diagram below to see what the graph should look like.

The upper dashed line is y = (1/2)x+3. The lower dashed line is y = (1/2)x-2

The upper dashed line represents the boundary for y > (1/2)x+3. Region 1 is the set of solution points for y > (1/2)x+3

While the solution set for y < (1/2)x-2 is represented with region 3

There is no overlap between regions 1 and 3 due to the parallel boundary lines.

Put another way: there are no (x,y) points that are in both region 1 and region 3 at the same time.

So that's why there are no solutions to this system of inequalities.

---------------------

Alternative method:

Convert the first inequality into Ax+By > C form

y > (1/2)x+3

2y > x + 6 .... multiply both sides by 2

-x+2y > 6 ... subtract x from both sides

z > 6 .... let z = -x+2y

Convert the second inequality into Ax+By < C form

y < (1/2)x-2

2y < x - 4

-x+2y < -4

z < -4 .... let z = -x+2y

We have some number z that is both z > 6 and z < -4 at the same time, but no such number exists. So this is another way to see we have an inconsistent system with no solutions.

2.1 ÷ 1.488 rounded to the nearest tenth, I will Give you 20 Points

Answers

If you were to divide 2.1 by 1.488 you would get a answer such as 1.41129....
If the number is above 5, you round to the next highest number.
If the number is 4 and below, you don’t round to the next highest number.
Since 1.41 has a number below 4 that you have to round, the nearest tenth would stay 4.
meaning the answer is 1.4

kjlwhdoqhwdoiqhwdohnvm

Answers

Kjiwhdoqhwoiqhwdohnvm

Can someone help me ? I need to get the answer but I don’t know how to do it?

Answers

Answer:

D) 29.41 oz

Step-by-step explanation:

Maya has 15 cousins, which means she is making 15 bags.

She has 441.15 oz of candy in all. Divide 441.15 with 15:

441.15/15 = 29.41

29.41 oz is your answer, or D).

~

Answer:

D

Step-by-step explanation:

441.15/ 15

I calculated it.

Have a nice day!

I subtracted 14 from 30 and then I multiplied the difference by 6.​

Answers

Your answer will be 96.

Proof:

Step one: Subtract 14 from 30  30-14=16

Step two: Multiply the difference by 6 16x6=96

Hope this helps!

Please help me vote you brainiest

Answers

Answer:

Wise

Step-by-step explanation:

In this case Gramps is being known as wise as many people go to him to learn new information about life or something else.

The other options also don't make sense in this case

Hope this helps! :)

Can someone plz help me plz

Answers

Answer:

40°

Step-by-step explanation:

50+40=90

a restaurant customer left 0.70 as a tip the tax was 8% and the tip was 10% of the after cost which information is not needed to compute the bill after tax and tip what was the total bill

Answers

Answer:the answer is b.

Step-by-step explanation:

Y= 1/2x+5
2x + 3y = -6
Solution:

Answers

Answer:

ask your teacher

Step-by-step explanation:

given the parallel lines cut by. a transversal , determine the value of x . please help due in 30 minutes

Answers

Answer:

x = 20

Step-by-step explanation:

The angles are same side interior angles so the add to 180

3x-10 + 5x+30 = 180

Combine like terms

8x +20 =180

Subtract 20 from each side

8x+20 -20 =180-20

8x = 160

Divide by 8

8x/8 =160/8

x = 20

Answer: x = 25

Step-by-step explanation:

When lines are parallel, the same side interior angles are supplementary, meaning they add up to 180 degrees. So to find x, you would add the two expressions and make it equal to 180 degrees.

3x - 10 + 5x + 30 = 180

8x - 20 = 180

8x = 200

x = 25

The answer is x=25

A rotation maps point A(5, 4) to A’(–4, 5).


Which describes the rotation?
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation

Answers

90° counterclockwise rotation

Answer:

c

Step-by-step explanation:

What does * mean in mathematics?

Answers

Answer:

multiply

Step-by-step explanation:

for example:

4 * 5 = 20

other ways of writing multiply:

4 x 5 = 20

 4(5) = 20

Answer:

Usually in math it is used to indicate multiplication.

Step-by-step explanation:

Most of the time people will use * instead of x for multiplication on a calculator or computer.

Hope this helps. Plz give brainliest.

Evaluate the following expression when a = -3, b = 2, c = 5, and
d = -4.
2a + 3b

Answers

Answer:

2a + 3b = 0

Step-by-step explanation:

So we are given that a = -3, b = 2, c = 5, and d = -4 and we are asked to evaluate the expression 2a + 3b. To evaluate the expression, we would have to plug in -3 for a, 2 for b, 5 for c, and -4 for d:

2a + 3b = 2(-3) + 3(2) = -6 + 6 = 0

So by evaluating the expression we get 0.

I hope you find my answer and explanation to be helpful. Happy studying.

Please help me out with this!Car A travels at a speed represented by the equation y= 45x

The unit rate is ____ miles per hour

Answers

Answer:

45? this sounds like a 6th grade problem,idk sounds too easy for it to be right

Plz Help will give major points and brainliest.

Answers

Answer:

see below

Step-by-step explanation:

a) The unknown is the price of a large pizza

b)  Each pizza cost is positive,

c) The the price of a pizza be p,

so the price of one pizza is p

d) The expression is  

6 pizzas minus 3 dollar off each pizza

6p -3p

e) Set this equal to the total cost

6p -3p= 38.94

f) Combine like terms

3p = 38.94

Divide each side by p

3p/3 = 38.94/3

p = 12.98

The price of each pizza before discount is 12.98

what is a good way to get better at algebra

Answers

Answer:

study hard and find shortcuts to make it easier for you. also do not hesitate to ask teachers for help. it is their job to help

Step-by-step explanation:

Solve: −2c + 6 = 10

Answers

Answer: c = -2

Explanation:

-2c + 6 = 10
-2c = 10 - 6
-2c = 4
c = 4/-2
c = -2

Answer:

i believe your answer will be C=-2

Step-by-step explanation:

the equation is -2c + 6 = 10. to solve this youll need to subtract 6 from both sides.

-2c +6 =10

-6 -6

which will now leave you with -2c = 4. then you will divide -2 from both sides. -2/-2 =0 and 4/-2 = -2. so your answer is C=-2

Hope this helps :)

In the given figure AB is parallel to CD then value of x is?

Answers

0
I hope this helps!!!!!!!

2.
8
6
4
2
1
2
4
6
8
10
-2
-4
"6
"8
)
Domain
Range =
Function: Yes or No?

Answers

Answer:

Note that the range is only the elements that were used. Yes, the relation {(3,2), (4,1), (5,9), (6,12), (7,12)}is a function. No x-value repeats.

Step-by-step explanation:because is a function

write 25 x 10 to the power of 6 in standard form

Answers

Answer:

2.5 10 to the power six i guess i didnt do this for a point so plz if somebody is going to dlt this answer then please dont do this

Step-by-step explanation:

Answer:

25 x 10 = 250 x 250 x 250 x 250 x 250 x 250= 25000000

thats your answer

Step-by-step explanation:

What’s the answer 6^8n+6=1296

Answers

Answer:

So I did it and I got 4 it might be right might not I hope this helped.

Step-by-step explanation:

Four less than 5 times a number is the same as 26 more than twice the number.

Answers

Answer:

False

Step-by-step explanation:

5x - 4 versus 2x + 26

Imagine x equals 1, then the equations would be:

5(1) - 4 and 2(1) + 26

1 and 28 are not equivalent.

Another example would be x = 6

5(6) - 4 and 2(6) + 26

26 and 38 are not equivalent.

No matter what you replace x with, the expressions are never equal.

Which is better buy? $1.50 for 5oz or $1.20 3oz

Answers

Answer:

The first one 1.50 for 5oz

Step-by-step explanation:

The sign of the product of any two positive number is

Answers

Answer:

The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive.

“The sign of the product of any 2 positive number is” *postive*

Help please timed homework. 50 points

Answers

Answer:

I mean that's quite an interesting question

Please Help!!
Thanks

Answers

Answer:

I think should add up to 360° because supplementary angles add up to 180°and in this case we have 2 angles

Answer:

180 degrees

Step-by-step explanation:

If two angles are supplementary when their measures add up to be 180

I attached an example of supplementary angles as well you can check

which of following graphs a direct variation

Answers

Please show the full question

Zach wants to make a profit of more than 300 for painting 4 identical too rooms. The profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is 32.50 for each room. Which inequality and solution represent the dollar amount n, that zack must be paid for each room, if he is to make a profit more than 300

Answers

Given :

Zach wants to make a profit of more than 300 for painting 4 identical too rooms.

The cost of supplies is 32.50 for each room.

To Find :

Which inequality and solution represent the dollar amount n, that zack must be paid for each room, if he is to make a profit more than $300.

Solution :

Profit is given by :

Profit = S.P - C.P

Now, it is given that profit > 300 .

Profit = S.P - C.P > 300

[tex]4n - 4\times 32.5 > 300\\\\n - 32.5 > 75\\\\n > \$107.5[/tex]

Hence, this is the required solution.

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