Which word describes the slope of the line?
positive
negative
zero
undefined

Answer:

y = - [tex]\frac{4}{5}[/tex] x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)

m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L

Parallel lines have equal slopes , then

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, - 11) into the partial equation

- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7

y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line

The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The straight line L passes through the points (0 , 12) and (10 , 4).

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

Now,

Since, The straight line L passes through the points (0 , 12) and (10 , 4).

So, Equation of line L is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 12 = (4 - 12) / (10 - 0)  (x - 0)

⇒ y - 12 = - 8 / 10x

⇒ 10 (y - 12) = - 8x

⇒ 10y - 120 = - 8x

⇒ 10y = - 8x + 120

⇒ y = - 8/10x + 12

⇒ y = - 4/5x + 12

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = -4/5x + 12

m = dy/dx = - 4/5

m = - 4/5

Thus, The equation of line with slope 1- 4/5 is,

⇒ y - (-11) = - 4/5 (x - 5)

⇒ y + 11 = - 4/5 (x - 5)

⇒ 5 (y + 11) = - 4x + 20

⇒ 5y + 55 = - 4x + 20

⇒ 5y = - 4x + 20 - 55

⇒ 5y = - 4x - 35

⇒ y = - 4/5x - 7

Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

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Answer:

The answer it probably is C.

Step-by-step explanation:

Just add 16+16+16= 48. Hope this helps

Answer:

The answer is C... 16 units.

Step-by-step explanation:

I had this question on my test and got it correct.

Answer:

should i provide formula

Answer:

94

Step-by-step explanation:

180-30-56=94 degrees

Answer:

huh i am very confused

Step-by-step explanation:

Answer:

b=123

c=123

Step-by-step explanation:

Step-by-step explanation:

change the directions i think

you have to make the -1 -> 0

you have to multiply by -1

and if you multiply the direction will change

Answer:

y=5x+3

Step-by-step explanation:

Slope is going 5 units up and 1 unit right.

Slope= 5/1 but just the 5 is preferred.

y-intercept=3

Answer:

D

Step-by-step explanation:

32+35=67

90-67=23

it won't let me type in the comments for some reason but i got 90 because andgle MLQ is a right angle so it is 90 degrees

Answer:

138 laps in 23 minutes

Step-by-step explanation:

30/5

x/23

5x=690

690/5=138

Answer:

They earned 5 dollars per hour

Step-by-step explanation:

Take the amount earned and divide by the number of hours

25/5

5

They earned 5 dollars per hour

Answer:

12 minutes

Step-by-step explanation:

90/7.5 = 12 minutes

Answer:

In a deck of cards, there are 6 faced cards. So, the probability of drawing a faced card is 6 out of 52 cards. Thus, the probability of drawing a face card from a deck of cards is 6/52 = 3/26.

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

There are 4 10 cards.

There are 12 face cards.

Probability of both:

4/52 + 12/52 = 16/52 = 4/13

Answer:

Step-by-step explanation:

A helicopter is hovering over a landing pad 100 meters from where you are ... If the string is stretched straight, how high is the kite above the ground?

Answer:

12 Tulips

Step-by-step explanation:

Daffodils - 4, 4, 4, 4 = 16

Tulips -       3,3,3,3 = 12

28 flowers in all

Answer:

C

Step-by-step explanation:

If you divide 1.65 by 6 you'll get 0.275 so then you'll add d+6n to get d+6 and then you'll solve the question for 6n and you'll get 1.65

Answer:

A. 63

Step-by-step explanation:

EDGU 2020

Answer:

I think 3cosx+2 would be g(x)

Answer:

The answer is "(4, -5)".

Step-by-step explanation:

Please find the complete question in the attached file.

In the given image file when we rotate it to 90 degrees clockwise so the value as the rule is [tex](x, y) \longrightarrow (y, -x)[/tex]

Putting the value in x = 5 and y = 4 then:

[tex](5, 4) \longrightarrow (4, -5)[/tex]

Answer:

Maybe 5?

Step-by-step explanation:

If not im really sorry!!!!!!!

Answer:

Trapezoid

Step-by-step explanation:

A triangle can be thought of as a trapezoid with one of the side length being 0.

Answer:

Parallelogram

Step-by-step explanation: "Surprisingly, this triangle (or any triangle) is related to a parallelogram." Found it in my text (Calvert Academy school)

Answer:

The cost is $75

Step-by-step explanation:

Given

[tex]y = 25x[/tex]

Required

Cost of 3 cubic yards -- Missing from the question

The required means that: [tex]x = 3[/tex]

Plug in [tex]x = 3\\[/tex] to [tex]y = 25x[/tex]

[tex]y = 25 * 3[/tex]

[tex]y = 75[/tex]

The cost is $75

Answer:  1800000000

Step-by-step explanation:

Answer:

200 Times as large

Step-by-step explanation:

Answer:

A. W

Step-by-step explanation:

The table in which each x-value is related to exactly one y-value is the table that represents a function.

Form the tables given, in table W, every x-value (input) has exactly one y-value (output) that is related to it.

The correct table that represents a function is table W

For a table of values to be a function, the input values also known as the domain of the function must NOT have a repeated values.

Hence the correct table that represents a function is table W

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Answer:

always

Step-by-step explanation:

so if it isn't it will be an acute or an obtuse

Answer:

has no solution.

Step-by-step explanation:

you can see that the two equations are almost identical except for the fact that one is multiplied by 7, but it isnt completely multiplied correctly so there would be no solutions.

Answer:

infinite solutions  

Step-by-step explanation:

you can solve this by the elimination method. take the rover a equation and multiply it by -7 and then combine the equations. when you do this, you can see that either side equals 0 which means that there are infinite solutions.

-7(y= 1.5x - 6) which equals the equation below

-7y= -10.5x-42 then combine the other equation

7y=10.5x+42 and that equals

0=0

Answer:

wy+wz+xy+xz

Step-by-step explanation:

C.) wy+wz+xy+xz  could be factored by grouping.

Method of factorization by grouping the terms:

(i) From the groups of the given expression a factor can be taken out from each group.

(ii) Factorize each group.

(iii) Now take out the factor common to group formed.

= wy + wz + xy + xz

= w(y+z) + x(y+z)

= (w+x)(y+z)

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Answer:

A and C

Step-by-step explanation:NLE Choppa said so

Answer:

a and c

Step-by-step explanation: