What is the equation of the line that passes through the points (-6,-7) and (6,3)

What Is The Equation Of The Line That Passes Through The Points (-6,-7) And (6,3)

Answers

Answer 1

Answer:

[tex]y=\frac{5}{6} x-2[/tex]

Step-by-step explanation:

Point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

where [tex](x_1, \ y_1)[/tex] are coordinates of a point that the line passes through, and [tex]m[/tex] is the slope of the line.

We are given two points that the line passes through, but we are not given the slope.

We can find the slope by using the slope formula:

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

where [tex](x_1, \ x_2)[/tex] and [tex](y_1, \ y_2)[/tex] are two points that the line passes through.

Substitute (-6, -7) and (6, 3) into the slope formula:

[tex]\frac{3-(-7)}{6-(-6)} = \frac{10}{12} = \frac{5}{6}[/tex]

The slope of this line is 5/6. Now we are able to use the point-slope equation to find the slope-intercept equation [tex](y=mx+b)[/tex] of this line.

Substitute a point that the line passes through and the slope of the line into the point-slope equation. I'm using the point (6, 3).

[tex]y-y_1=m(x-x_1)[/tex][tex]y-(3)=\frac{5}{6} (x-(6)[/tex][tex]y-3=\frac{5}{6} (x-6)[/tex]

Distribute 5/6 inside the parentheses.

[tex]y-3=\frac{5}{6} x-\frac{30}{6}[/tex][tex]y-3=\frac{5}{6} x-5[/tex]

Add 3 to both sides of the equation.

[tex]y=\frac{5}{6} x-2[/tex]

This is the equation of the line that passes through (-6, -7) and (6, 3) in slope-intercept form.


Related Questions

HEY CAN ANYONE ANSWER DIS PLS!

Answers

1.2 times 15 = 18 so your answer will be A

Solve and show how you did 5 (x-1) + 3 = 13

Answers

5(x-1) + 3 = 13
5x - 5 + 3 = 13
5x -2 = 13
5x = 15
x = 15/5
x = 3

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(x−1)+3=13

(5)(x)+(5)(−1)+3=13(Distribute)

5x+−5+3=13

(5x)+(−5+3)=13(Combine Like Terms)

5x+−2=13

5x−2=13

Step 2: Add 2 to both sides.

5x−2+2=13+2

5x=15

Step 3: Divide both sides by 5.

5x

5

=

15

5

x=3

Answer:

x=3

A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be ... at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak. 2.

Answers

Answer:

concrete jungles where dreams are made of

Step-by-step explanation:

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

I'm really lost?? help please

Answers

If u are lost then go to police and ask for help

For what values of [tex]x[/tex] is the product [tex](x+5)(x-1)[/tex] positive? Explain.

Answers

Answer:

[tex]x<-5\text{ or } x>1[/tex]

Step-by-step explanation:

We have:

[tex](x+5)(x-1)[/tex]

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

[tex](x+5)(x-1)>0[/tex]

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

[tex](x+5)(x-1)=0[/tex]

Zero Product Property:

[tex]x+5=0\text{ or } x-1=0[/tex]

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

[tex]x=-5, 1[/tex]

Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.

So, our solution is:

[tex]x<-5\text{ or } x>1[/tex]

And we're done!

Answer:

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Step-by-step explanation:

(x+5) (x-1) >0

First find the zeros

(x+5) =0    x-1 =0

x= -5      x=1

We then have to check the regions

x< -5              -5 <x<1                  x>1

First x< -5

(x+5) (x-1)

X+5 will be negative  ( x-1) will be negative

(-) * (-) = +  so the values will be positive

Then     -5 <x<1      

X+5  will be positive   ( x-1) will be negative

( +) * (-)  will be negative

First x>1

(x+5) (x-1)

X+5 will be positive  ( x-1) will be positive

(+) * (+) = +  so the values will be positive

The regions where (x+5) (x-1) >0 is x< -5  or x>1

Rachel has a bag that contains a total of 224 red and yellow candies. The ratio of red candies, R , to yellow candies, Y , is 3 to 4.
How many red candies are in Rachel's bag?

Answers

Answer:

96 red

Step-by-step explanation:

96 red, 128 yellow; 3/4=.75; r+y=224; .75y+y=224; 1.75y=224; 224/1.75=128, 224-128=96

Evaluate the expression when x=3 , y=−4 , and z=−6.
z−2x/y

Answers

Answer:

9/2

distribute the value of x,y, and z, on the given questions, and then you do multiplication, next addition, lastly lowest term.

Duke is a part-time student at Horizon Community College. He currently has 22 credits, and he plans to take 6 credits per semester until he is finished.
Duke's friend Kila is also a student at the college. She has 4 credits and plans to take 12 credits per semester. After how many semesters will Duke and
Kila have the same number of credits?

Answers

Answer:

3

Step-by-step explanation:

22=6c=4+12c

    -6c      -6c

22=4+6c

-4   -4

18=6c

/6   /6

3=c

HELP PLEASEEEE!!!!! [Easy]

Answers

Answer: 120

   

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

-6a - 4(a - 3) = -6a + 15

Answers

Step-by-step explanation:

-6a - 4(a - 3) = -6a + 15

=> -6a - 4a + 12 + 6a - 15 = 0

=> -4a - 3 = 0

=> -4a = 3

=> a = -3/4

The answer is A=-0.75

What is the answer to 5 (y-10) = -5

Answers

Answer:

5(y-10)=-5

5y-50=-5

5y=45

y=9

Step-by-step explanation:

distribute

add 50 to the other side and undo it from its original side

get the variable by itself by dividing 5 on both sides

then you have your answer

I hope this helps!

Answer:

9

Step-by-step explanation:

5(y-10)=5

divide both sides by 5

50-5=45

45 divided by 5 is 9

4. Write any number to make the statement is
true?


Answers

Answer:

124<369

Step-by-step explanation:

What is the product of the expression (-2.2)(1.5)(-4.2)

Answers

Answer:

13.86

Step-by-step explanation:

(-2.2)(1.5)(-4.2) =

Use a calculator. Start with -2.2 * 1.5.

= (-3.3)(-4.2)

= 13.86

Answer:13.86

Step-by-step explanation:

((−2.2)(1.5))(−4.2)

=(−3.3)(−4.2)

=13.86

Solve for x.

x/2 = -5

x = 5/2
x = -5/2
x = -10

Answers

Answer:

x = -10

Step-by-step explanation:

x/2 = -5

Multiply each side by 2

x/2 * 2 = -5 *2

x = -10

For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water. How many milliliters does the mixture contain?

Answers

Answer:

12.55 milliliters

Step-by-step explanation:

0.25+12.3=12.55

Good luck!

The  mixture contains 12.55 milliliters.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water.

we need to find the amount of  milliliters does the mixture contain.

Add twelve point three plus zero point two five.

12.3+0.25

 12.30

+  0.25

_______

12.55

Hence, the  mixture contains 12.55 milliliters.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

Answer plzzzzzzzzzzzzzzz

Answers

Answer:

1 63636363 /1000000000

Step-by-step explanation:

Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.

Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and he packages 20 cookies together for a low price. His baker realized they sold the same amount of muffins and cookies yesterday due to this great sale. What is the minimum amount of muffins that were sole yesterday? Is this a GCF or LCM problem?

Answers

Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

Find the lowest common multiple of 6 muffins and 20 cookies

6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

20 cookies = 40, 60, 80

The lowest common multiple of 6 muffins and 20 cookies is 60

Therefore,

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

According to the system of equations above, what is
the value of x ?
Need someone to explain how to do it

Answers

Answer:

7

Step-by-step explanation:

try substituting

crossmultyply

x=-9-y

substituting

-9-y=-25+9

y=16

substituting

pick one of the equations

x+y=-9

x-16=-9

x=-9+16

x=7

Can someone please help me with my homework???

Answers

Answer:

Step-by-step explanation:

Yes I would be glad to help you

Help meeeeee. Thank you

Answers

the answer is d) 9
9 is not a prime number


Which expression is equivalent to

Answers

Answer:

a

Step-by-step explanation:

Solve the inequality.

8(x − 4) > −8

Answers

Answer:

x>3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x > 3

Interval Notation:

( 3 , ∞ )

the answer is : x>3 let me check

Someone help I really need it.

Answers

Answer:

c

Step-by-step explanation:

C

12 = x

12 times 12 = 144

I need sum help please and thanks :)

Answers

Answer:

6/16n is your answer I think

PLEASE PLEASE PLEASE HELPPP MEEE !!! Identify all of the roots of the function.

f(x) = x3 – 5x2 – 2x + 24

Answers

Answer:

4, 3, -2 are the 3 roots of the function

Answer:

-2, 3 & 4

Step-by-step explanation:

The integer roots of the polynomial function f(x)=x^3-5x^2-2x+24f(x)=x

3

−5x

2

−2x+24 can be only among the divisors of free term.

The divisors of free term are:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24.±1,±2,±3, ±4,±6,±8,±12,±24.

Check them:

1. f(1)=1^3-5\cdot 1^2-2\cdot 1+24=18\neq 0f(1)=1

3

−5⋅1

2

−2⋅1+24=18

=0 , 1 is not a root.

2. f(-1)=(-1)^3-5\cdot (-1)^2-2\cdot (-1)+24=20\neq 0f(−1)=(−1)

3

−5⋅(−1)

2

−2⋅(−1)+24=20

=0 , -1 is not a root.

3. f(2)=2^3-5\cdot 2^2-2\cdot 2+24=8\neq 0f(2)=2

3

−5⋅2

2

−2⋅2+24=8

=0 , 2 is not a root.

4. f(-2)=(-2)^3-5\cdot (-2)^2-2\cdot (-2)+24=0f(−2)=(−2)

3

−5⋅(−2)

2

−2⋅(−2)+24=0 , -2 is a root.

5. f(3)=3^3-5\cdot 3^2-2\cdot 3+24=0f(3)=3

3

−5⋅3

2

−2⋅3+24=0 , 3 is a root.

6. f(-3)=(-3)^3-5\cdot (-3)^2-2\cdot (-3)+24=-42\neq 0f(−3)=(−3)

3

−5⋅(−3)

2

−2⋅(−3)+24=−42

=0 , -3 is not a root.

7. f(4)=4^3-5\cdot 4^2-2\cdot 4+24=0f(4)=4

3

−5⋅4

2

−2⋅4+24=0 , 4 is a root.

The cubic function has at most 3 roots, then

Answer: roots of the function are -2, 3 and 4.

The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household. Super Sitters charges a flat rate of $20 an hour per child.

For hours ______ of service, both babysitting services would cost the same.

Answers

5 hours of service (for one child each)

15x + 25 = 20x
Subtract 15x from both sides:
25 = 5x
Divide both sides by 5 to isolate x:
x = 5

Answer:

i think its 7500

Step-by-step explanation:

If two angles have the same measure, then they are right angles true or false

Answers

Answer:

False

Step-by-step explanation:

Answer: true

Step-by-step explanation:

210 sheets of paper is 7cm thick. How thick of a pile would 1260 sheets make?

Answers

42 cm because if you divide 210 and 1260 it will make 6 so u just multiply it by 7 and u get 42

The clocks shows when Tisa’s movie started and ended. How long did the last movie last? Plz hurry I need to finish

Answers

Answer:

it last 2 hours and 30 min

Step-by-step explanation:

The last movie was 2hr and 30 min I think

find the value of a

Answers

Answer:

45

Step-by-step explanation:

81° + a° + 2a° = 180°

81° + 3a = 180°

3a = 180 - 81

3a = 99°

a = 99 ÷ 3

a = 33°

Therefore , a = 33° .

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