What is an equation of the line that passes through the points (6,-6) and (-2,-2)

Answers

Answer 1

Answer:

[tex]y=-\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (6,-6) and (-2,-2)

[tex]=\frac{-2-(-6)}{-2-6}\\=\frac{-2+6}{-2-6}\\=\frac{4}{-8}\\=-\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

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

2) Determine the y-intercept (b)

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

Plug in one of the given points and solve for b

[tex]-6=-\frac{1}{2}(6)+b\\-6=-3+b[/tex]

Add 3 to both sides

[tex]-6+3=-3+b+3\\-3=b[/tex]

Therefore, the y-intercept of the line is -3. Plug this back into [tex]y=-\frac{1}{2}x+b[/tex]:

[tex]y=-\frac{1}{2}x-3[/tex]

I hope this helps!


Related Questions

i’ll give you what eva you like

Answers

Answer:

Number of additional inches= x

Number of additional topping= y

Total cost= 8+1.5(x)+0.75(y)

cost of pizza= 8+1.5x+0.75y

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

hope it helps...

have a great day!!

Find the volume of the prism

Answers

Answer:

440cm³

Step-by-step explanation:

Area of trapezium base=

[tex] \frac{1}{2} \times (a + b) \times h[/tex]

[tex] \frac{1}{2} \times (8 + 14) \times 4[/tex]

[tex] \frac{1}{2} \times 22 \times 4 \\ = \frac{88}{2} \\ = 44 {cm}^{3} [/tex]

Volume=Area or trapezium x Height between trapezium ends

[tex] = 44 \times 10 \\ = 440 {cm}^{3} [/tex]


It is given that two horizontal lines are parallel. Given that ∠6 = 133°°, find the measure of the other 7 angles from the picture above.​

Answers

Answer:

the answer is 47

Step-by-step explanation:

133+x=180

Please help it's urgent if you do not help you will become Jeffery Epstein son!

Answers

The answer is a because it is an close circle moving to the right do the answer is 1.A

Find 5 rational numbers between 6 8 and 7 2

Answers

Answer:

Step-by-step explanation:

Five rational number from 68 to 72

69, 70 , 71, 71.1 , 71.2

please help me with this, this is my summer packet help!! will mark brainliest

Answers

Answer:

1.375

1.625

3.3125

4.45

Step-by-step explanation:

11/8= 1.375

13/8=1.625

53/16= 3.3125

89/20=4.45

Answer:

1.375

1.625

3.3125

4.45

Step-by-step explanation:

Change the mixed fraction to a improper fraction then divide the numerator by the denominator,

The problem on the left has been solved INCORRECTLY.

1. identify the error
2. explain how to fix the error
3. give the correct solution

PLEASE HELP ME I NEED HELP

Answers

The student used the wrong trig ratio. They should use cosine instead.

[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(x) = \frac{9}{29}\\\\x = \cos^{-1}\left(\frac{9}{29}\right)\\\\x \approx 71.9^{\circ}\\\\[/tex]

If the student wanted to use sine, then they would need to use the pythagorean theorem to find the opposite side first. I recommend using cosine since it's faster. Make sure your calculator is in degree mode.

Answer:

x = 71.9 degrees

Step-by-step explanation:

cos x= 9÷29

cos x= 0.31

x =cos-1(0.31)

x = 71.9 degrees

does anyone know how to do this? MATH ANSWERS ONLY ​

Answers

Answer:

34.2 ; 105.8 ; 12.0

Step-by-step explanation:

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

c² = a² + b² - 2abcosC

~~~~~~~~~~~~

sinB = [tex]\frac{bsinA}{a}[/tex]

sinB = 7sin40° ÷ 8 ≈  0.562439

m∠B34.2°

m∠C = 180° - ( 40° + 34.2° ) = 105.8°

c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87

c 12.0 units

Luanne recorded the favorite sport of students at her school. She surveyed 200 students. How many students chose Tennis?

Answers

Answer:

20 students

Step-by-step explanation:

Given that

There are 200 students surveyed

And, the percentage of each games is as follows;

For tennis it is 10%

For basketball it is 30%

For football it is 35%

for baseball it is 25%

We need to find the number of students choose tennis

So, it should be

= 10% of 200

= 20 students

88 POINTS!! I WILL MARK BRAINLYIST FOR CORRECT ANSWER, I NEED HELP!!!

1. Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.

2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.

3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?

4. Test the residuals of two other points to determine how well the line of best fit models the data.

5. Use the line of best fit to help you to describe the data correlation.

6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?

7. According to your line of best fit, what is the arm span of a 74-inch-tall person?

Answers

                 .................................................................................                    

Is -451 in the sequence below?
15,7,-1,-9,,-17..

Answers

Answer:

No, the closest to -451 in the sequence is -429

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

Which phrase describes the variable expression 11 • X?
O A. 11 decreased by x
OB. 11 increased by x
C. The produqt of 11 and x
odust
O D. The quotient of 11 and x
SUBA

Answers

Answer:

B or C

Step-by-step explanation:

if its refering to the answer of 11 × X then the answer is C, but if its not the answer might be B.

Find the area of the shaded region in the figure above using two different ways. Do you get the same
answer both ways? Investigate what's going on here.

Answers

Answer:

Below

Step-by-step explanation:

First way:

Find the area of the big triangle and subtract the area of the rectangle.

Area of shaded part = 1/2 * 25 * 34 -  10*24 =  185 m^2

Second way:

Add the area of the 3 shaded triangles:

= 1/2 * 15 * 24 + 1/2 * 5 * 10 + 1/2 * 5 * 10

= 180 + 25 + 25 = 230 m^2

The areas are different. The reason must be that given lengths are not possible for this diagram.

Check The length of the hypotenuse of the large triangle by 2 different methods:

The hypotenuse = √(25^2 + 17^2)

= 30.23.

Now let's work out the hypotenuse of the shaded triangles:

Top one = √(15^2 ^ 12^2) = 19.21

Bottom one = √((5^2 + 10^2) = 11.18

Adding these we get 30.39  which is different than previously calculated but it should be the same.

So what we have here is impossible geometry. This accounts for the different areas.

Algebra 1
6.4 DIE
Find the distance between the points (0, -10) and (-8,0).

Answers

tbh i think it is 6 i did the math too

Answer:

2√41

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

√(-8 - 0)² + [0 - (-10)]²

√(-8)² + (10)²

√(64) + (100)

√164

= 2√41

Can someone help me? It's urgent and thank you!

Answers

Answer:

-6 and -1

Step-by-step explanation:

The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]

Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]

It's a quadratic equation

Thus, let us calculate the discriminant Δ

Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]

the discriminant is greater than 0, so the equation has two solutions

[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex]  or  [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]

the excluded values are -6 and -1

the city central library has 72,864 books and 72 bookcases how many books are there in each bookcase

Answers

Answer:

1,012

Step-by-step explanation:

72,864 / 72 = 1,012

Answer:

1012 books per bookcase

Step-by-step explanation:

Assuming each bookcase has the same number of books, this is a division task.

Your answer will be given by number of books÷number of bookcases.

In this case, that becomes 72864÷72.

This can be solved to 1012.

**This question involves division and writing integer expressions, which you may wish to revise. I'm always happy to help!

Help fast please ??!!

Answers

Answer:

Area =  1053.59²

Step-by-step explanation:

Area = Area of cylinder + Area of rectangular prism

Area of cylinder = 2 π r h + 2 π r²             [ r = 4, h = 8]

                        = 2 π r ( h + r)

                        = 2 π x 4 ( 8 + 4)

                        = 301.59 ft²

Area of rectangular prism = 2 ( 12 x 8 + 8 x 14 + 14 x 12)  = 752 ft²

Area = 301. 59 + 752 = 1053.59²

                         

Answer:

1376

Step-by-step explanation:

Step 1   14 × 8 × 12 = 1344

Step 2   28 × 4 = 32

Final Step  1344 + 32 = 1376

I need help finding the solution

Answers

Answer:  226 degrees

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

Explanation:

Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure

arc DC = arc CB

12x+7 = 18x-23

12x-18x = -23-7

-6x = -30

x = -30/(-6)

x = 5

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

Use this x value to find the measure of arcs DC and CB

arc DC = 12x+7 = 12*5+7 = 67arc CB = 18x-23 = 18*5-23 = 67

We get the same measure for each, which helps confirm we have the correct x value.

The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer

arc DAB = 360-(arc DCB) = 360-134 = 226 degrees

I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.

A computer network manager wants to test the reliability of some new and expensive fiber optic Ethemet cables that the computer department just received . The computer department received 10 boxes containing 50 cables each The manager does not have the time to test every cable in each box The manager will choose one box at random and test 10 cables chosen randomly within that box What is the population

Answers

Answer: 500 cables

Step-by-step explanation:

The population refers to the individuals or the items which are of interest fltonthe researcher during an experiment.

Since the computer department received 10 boxes containing 50 cables each, then the population will be gotten as:

= 10 × 50

= 500 cables

Is the point (15,29)on the line y = 2x-3?​

Answers

Answer:No

Step-by-step explanation: It is on 3x-3

The point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have a line:

y = 2x - 3

If the point (15, 29) is on the lie then it must satisfy the line.

Therefore putting this point in the equation of the line.

Put x = 15, and y = 29, we get:

29 = 2×15 - 3

     = 30 - 3

29 ≠ 27

29 cannot be equal to 27 it means the point (15, 29) does not satisfy the line and the point is not lying on the line.

Thus, the point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.

Learn more about the linear equation here:

brainly.com/question/11897796

please help with this

Answers

Answer:

Table A

Step-by-step explanation:

None of the numbers in the x values are repeating

The table shows the height of a hot air balloon from 1 minute to 5 minutes.
Height of Hot Air Balloon
Time (in minutes)

What ordered pairs would you plot to show the data on a
coordinate grid? How do you think the ordered pairs would
be different if the height of the balloon was measured every
15 seconds instead of every minute? Explain your reasoning

Answers

Answer:

You would plote the minutes as your x (1,2,3,4,5) and your height in feet as your y. So some ordered pairs would be (1,35) and (2,60).

Step-by-step explanation:

If it were measured every 15 minutes, the x coordinate, would be multiples of 15.

Hope this helps!

:)

Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class?
A. 1.21d
B. 0.79d
C. d + 0.79d
D. d + 0.21

Answers

Answer:

It is A

Step-by-step explanation:

Your welcome

Let me know if you ever need help! :)

In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units

Answers

Answer:

B) 5 units

Step-by-step explanation:

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

What is the distance between two points?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The two pints are given below.

(0, 2) and (5, 2)

Then the distance between these points (0, 2) and (5, 2) will be given as,

D² = (5 - 0)² + (2 - 2)²

D² = 5²

D = 5 units

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

Learn more about the distance between two points here:

https://brainly.com/question/18296211

#SPJ2

The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 22 meters and its length is 2 meters more than twice its width. 0 ​

Answers

Answer:

Length = 6.5 meters

Width = 4.5 meters

Step-by-step explanation:

Given,

Perimeter of a rectangle is twice the sum of it's length and width.

Length is 2 meters more than twice its width, let the length be x meters so the width becomes (x-2) meters

perimeter of the rectangle,

2{x+(x-2)} meters which is 22 meters (given)

so,

2{x+(x-2)}=22

or, 2(x+x-2)=22

or, 2(2x-2)=22

or, 2x-2=11

or, 2x=13

or, x=6.5

so the length is 6.5 meters and the width is 6.5-2 = 4.5 meters.

Answered by GAUTHMATH

please help i dont understand this

Answers

Answer:

yeah me too

Step-by-step explanation:

They are selling lollipops for $0.50 and candy bars for $1.50

Lydia buys 6 lollipops and some candy bars.

If she spends $15.00 in total, how many candy bars, b, did Lydia buy?

Answers

Answer: $12.00

If you times 6 by 50 then you get $3.00 that is the answer for the lollipop you have to minus $15.00 by $3.00 which is $12.00

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill or 67.13

Answers

Answer:

$13.4

Step-by-step explanation:

Given that :

Tip percentage = 20%

Amount of bill = $67.13

Rounding the bill Amount to then nearest dollar :

$67.13 = $67

Tip amount = 20% of $67

Tip amount = 0.2 * $67

Tip amount = $13.4

Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and
all angle measures to the nearest whole degree.

Answers

Answer/Step-by-step explanation:

Recall: SOH CAH TOA

✔️Find <A:

Reference angle (θ) = A

Opposite side = 14 cm

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Substitute

Sin A = 14/20

A = [tex] sin^{-1}(\frac{14}{20}) [/tex]

m<A = 44° (nearest whole number)

✔️Find <C:

Reference angle (θ) = C

Adjacent side = 14 cm

Hypotenuse = 20 cm

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos C = 14/20

C = [tex] cos^{-1}(\frac{14}{20}) [/tex]

m<C = 46° (nearest whole number)

✔️Find AB:

Reference angle (θ) = C = 46°

Opposite side = AB

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Sin 46° = AB/20

20*Sin 46° = AB

AB = 14.4 cm (one decimal place)

Work out m and c for the line:

y=x-8

never mind i got it

Answers

Answer:

m = 1     c = -8

Step-by-step explanation:

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