Find the slope of the line that passes through the given
points.
1. (-10, -12), (-8,-8), (-6. - 4); (-4, 0)
2. (-4, 2), (0, 1), (4,0), (8, -1)
3. (-7, -7), (0, -8), (7, -9). (14, -10)
4. (-2, 2), (0, 3), (2, 4), (4, 5)
5. (2, -11), (4, -25), (6, -39), (8, –53)
6. (-11, -38), (-5, -14), (1,10), (7, 34)
Find the slope and the y-intercept of the graph of the
linear equation,
7. y = -4x + 6
8. y = -1
9. 4r + y = -1
10. y = 6x – 4
11. -x - 4y + 8 = 0
12. 2.r - 12y + 10 = 0

Answers

Answer 1

Answer:

Step-by-step explanation:

4x − 3= −12x + 13​

4x + 12x = 13 + 3

16x = 16

x = 1

Answer 2

1)

The slope of the line passing through these points is 2.

2)

The slope of the line passing through these points is -1/4.

3)

The slope of the line passing through these points is -1/7.

4)

The slope of the line passing through these points is 1/2.

5)

The slope of the line passing through these points is -7.

6)

The slope of the line passing through these points is 6.

7)

The slope of y = -4x + 6 is -4 and the y-intercept is 6.

8)

The slope is 0 and the y-intercept is -1.

9)

The slope is -4 and the y-intercept is -1.

10)

The slope of y = 6x - 4 is 6 and the y-intercept is -4.

11)

The slope is -1/4 and the y-intercept is 2.

12)

The slope is 1/6 and the y-intercept is 5/6.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = (d - b) / (c - a)

Where (a, b) and (c, d) are the two points.

Now,

The slope between (-10, -12) and (-8, -8) is 2.

The slope between (-8, -8) and (-6, -4) is 2.

The slope between (-6, -4) and (-4, 0) is 2.

Therefore,

The slope of the line passing through these points is 2.

The slope between (-4, 2) and (0, 1) is -1/4.

The slope between (0, 1) and (4, 0) is -1/4.

The slope between (4, 0) and (8, -1) is -1/4.

Therefore,

The slope of the line passing through these points is -1/4.

The slope between (-7, -7) and (0, -8) is -1/7.

The slope between (0, -8) and (7, -9) is -1/7.

The slope between (7, -9) and (14, -10) is -1/7.

Therefore,

The slope of the line passing through these points is -1/7.

The slope between (-2, 2) and (0, 3) is 1/2.

The slope between (0, 3) and (2, 4) is 1/2.

The slope between (2, 4) and (4, 5) is 1/2.

Therefore,

The slope of the line passing through these points is 1/2.

The slope between (2, -11) and (4, -25) is -7.

The slope between (4, -25) and (6, -39) is -7.

The slope between (6, -39) and (8, -53) is -7.

Therefore,

The slope of the line passing through these points is -7.

The slope between (-11, -38) and (-5, -14) is 6.

The slope between (-5, -14) and (1, 10) is 8.

The slope between (1, 10) and (7, 34) is 6.

Therefore,

The slope of the line passing through these points is 6.

Now,

The equation in slope intercept form is y = mx + c

where m is the slope of the line and c is the y-intercept.

So,

The slope of y = -4x + 6 is -4 and the y-intercept is 6.

The equation y = -1 represents a horizontal line, so the slope is 0 and the y-intercept is -1.

To find the slope-intercept form, we can rewrite 4r + y = -1 as y = -4r - 1.

Therefore,

The slope is -4 and the y-intercept is -1.

The slope of y = 6x - 4 is 6 and the y-intercept is -4.

To find the slope-intercept form, we can rewrite -x - 4y + 8 = 0 as -4y = x - 8, then divide both sides by -4 to get y = (-1/4)x + 2.

Therefore,

The slope is -1/4 and the y-intercept is 2.

To find the slope-intercept form, we can rewrite 2r - 12y + 10 = 0 as 12y = 2r + 10, then divide both sides by 12 to get y = (1/6)r + 5/6.

Therefore,

The slope is 1/6 and the y-intercept is 5/6.

Thus,

The slope and the y-intercept are given above.

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Related Questions

A bag of 12 ounces of popcorn costs $4.80. What is the unit rate? (in others words what is the cost for one ounce) *​

Answers

Answer:

0.4

Step-by-step explanation:

$4.80 divided by 12 = 0.4

Answer:

2.50 per ounce

Step-by-step explanation:

divide 12 by 4.80

-4 (y - 2) = 12

what would “y” be?

Answers

Answer:

y = -1

Step-by-step explanation:

When solving this equation use the distributive property and get...

-4 (y - 2) = 12

-4y + 8 = 12

-4y = 12 - 8

-4y = 4

y = -1

11+19+12+245+1245+23567=

Answers

wow it’s 25099 just use your calculator lol

Which expressions are equivalent?

Answers

Answer:

what in the-

Step-by-step explanation:

im legally changing my name to G lol

Answer:

wow anime style

Step-by-step explanation:

What is the total number of common tangents that can be drawn to the circles?
A. 3
B. 2
C. 1
D. 0

Answers

A) 3. In this case, you can draw one down the middle, one on top, and one on the bottom.

The total number of common tangents that can be drawn to the circles is 3 Hence, the correct option is (A).

What is tangent?

The tangent is a line that goes by touching the circle.

If we meet that point to the circle then it gives us 90 degrees.

Given that the circle are intersecting so a common tangent will be

The First will be at the intersection point of that circle.

The second will be the upper portion of the circle.

The third will be the lower portion of the circle.

For more information about the common tangents.

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Mrs. Jones had 1 3/8 pizzas left after a party. After giving some to Gary, she had 6/8 pizza left. What fraction of a pizza did she give Gary?

Answers

Answer:

She gave 5/8 to Gary.

Step-by-step explanation:

1 3/8 as an improper fraction is 11/8. 11/8 - 6/8 is 5/8.

Answer:

5/8

Step-by-step explanation:

Turn a mixed number to an improper fraction: 1 3/8=11/8

Subtract: 11/8-6/8=5/8

5/8

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

Which graph represents the transformation of a translation right 3 and up 2?

Answers

Answer:

there isn't a graph

Step-by-step explanation:

Sixteen plus five times a number is more than the number plus 32. Write an inequality and solve it.

Answers

Answer:

x>4

Step-by-step explanation:

16+5x>x+32

5x>x+16

4x>16

x>4

Answer: answer my question

Step-by-step explanation:

-(5 – 9) - (-2)(2)
how do i solve this?

Answers

Answer:

8

Step-by-step explanation:

-(5 – 9) - (-2)(2)

-(-4) - (-2)(2)

4 - (-4)

4 + 4

8

Use PEMDAS

Answer: The answer is 8

Step-by-step explanation:

Expand & simplify 4 ( g + 2 ) − 2 ( g − 6 )

Answers

Answer:

2g+20

Step-by-step explanation:

multiply the 4 by whats in the parenthasis. and multiply the negative 2 by whats in the parenthasis. combine the like terms.

pls help me, brain list and a thanks

Answers

Answer:

11/8 or 1 3/8

Step-by-step explanation:

5+6=11

11 goes into 8 1 so you have

1  /8

then theres the remander 3 so you get

1 3/8

1. In the diagram below, a large flagpole stands outside of an office
building. Mark realizes that when he looks up from the ground.
60 m away from the flagpole, that the top of the flagpole and the
top of the building line up. If the flagpole is 35m tall, and it is
310 m from the building, how tall is the building? Explain your
answer. On your answer sheet.copy the diagrams and label all
parts)

Answers

Answer:

Step-by-step explanation:

Let h bet the height of the building.

Mark is 60+310 = 370 m from building.

35/60 = h/370

h = 1295/6 = 215⅚ meters

please help, ill give you brainly :)

Answers

1 the answer is e
2 the answer is c
3 the answer is d
4 the answer is a
5 the answer is b

what is x=y+2 this geometry. thank you

Answers

Answer:

Square

Step-by-step explanation:

Its easy, duh

Find the area of the composite figure?


Answers

Answer:

128

Step-by-step explanation:

Let's start by figuring out the last side of the triangle

we can use the pathagoryous theroem and get

11.9²+x²=16.9²

Solve this and get x=12

Let's now compute the area of the triangle

b*h*.5

12*11.9*.5=71.4

So 71.4 is the area of the triangle

we now need to find the area of the semi circle.

to do this we are going to find the area and then divide it by 2

We know that the length is equal to 12 which means that the radius is 6

so we have

π6²/2

which is 56.55

We add the 71.4+56.55= 127.94 which rounds to 128

Answer:

212.758

Step-by-step explanation:

Find the semi-circle first, the diameter is 16.9 ft.

To find area:

Formula:

pi x radius x radius x 1/2

16.9 ÷ 2 = 8.45 (radius)

22/7 x 8.45 x 8.45 = 224.407 (Circle)

224.407 ÷ 2 = 112.203 (Semi circle)

Find the triangle:

1/2 x base x height or length x base x height

But for now, we will use the first one.

1/2 x 16.9 x 11.9 = 100.555

Now add them up.

100.555 + 112.203 = 212.758

(I don't know what units you to put for your answer since I don't learn American mathematics, so it's up to you)

Find the missing height. The height of a street light is 46 feet. It casts a 40-foot shadow. At the same time, a man standing next to the street light casts a 5-foot shadow. How tall is the man? If needed, round your answer to the nearest hundredth.

Answers

Answer:

11 feet

Step-by-step explanation:

Find the slope between the points (2,9) and (3,1) *
Please I need help immediately

Answers

Answer:

1

Step-by-step explanation:

Distance between x's (Δx)

0

This field is calculated automatically, you cannot change it's value manually.

Distance between y's (Δy)

1

d = √(Δy2 + Δx2) = √(12 + 02) = √1 = 1

I HATE MATH SM ITS NOT FUNNY, HELP ME (please)

Answers

Answer:

11) 2

12) 1

13) 6

14) 6

15) m<1=58°

m<2=122°

m<3=58°

m<5=122°

m<6=58°

m<7=122°

m<8=58°

Step-by-step explanation:

11) 2

12) 1

13) 6

14) 6

15) m<1=58°

m<2=122°

m<3=58°

m<5=122°

m<6=58°

m<7=122°

m<8=58°

In the right triangle shown, m\angle K = 60\degreem∠K=60°m, angle, K, equals, 60, degree and KL=2KL=2K, L, equals, 2.

How long is JL?

Answers

Answer:

Step-by-step explanation:

2 squartroot 3

The length (JL) of the right-angle triangle will be 1.732 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

In the right triangle shown, angle ∠K = 60° and KL is 2. Then the measure of the length JL will be given by the sine the angle ∠K. Then the equation is given as,

JL / KL = sin ∠K

h / 2 = sin 60°

h / 2 = √3 / 2

h = √3

h = 1.732 units

The length (JL) of the right-angle triangle will be 1.732 units.

More about the right-angle triangle link is given below.

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Please help!!! I need help on question 3!!! You can have these points i just got for it. (57 points)

Answers

Answer:

140 in.³

Step-by-step explanation:

The volume is base x width x height. Split the shape into two parts: 1. 2x4x5 and 2. 5x5x4. 1 is 40 inches in volume. 2 is 100 inches in volume. Add 100 + 40 to get 140.

Hope it helps!

i need help with my math problems

Answers

Answer:

Step-by-step explanation:

X       Y                    X           Y    

0       3                     0           5

1        7                     1              8

2        11                    2           11

3        15                   3          14

4         19                   4            17  

Use the distributive property and fill in the blanks.

7(4x + 2) =
+ 14

Answers

Answer:

that should be your awnser

are n/4 and 25n/4 coterminal angles

Answers

yes they are coterminal angles..i hope this helps you

Can someone help me please

Answers

Answer:55

Step-by-step explanation:

Evaluate b/a - 1.2 when a=4 and b=12

Answers

Answer: 46.8

Step-by-step explanation:


A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?

Answers

Answer: Area=18324 square feet

Explanation: We need to find the area of the field using the side angle side method, which uses the equation (ab*sin C)/2.
Thus, we have (120*325*sin 70)/2=18324 square feet.

Farmer need 750.5 feet fencing for his triangular field.

What is triangle?

"Triangle is  two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.

Formula used

Cosine rule

As per the diagram,

cosθ = (b² +c² -a²) / 2bc

cos 70° = 0.3420

According to the question,

Let AB = c , AC = b  are given sides of measure 120 feet and 325 feet respectively.

and BC = a

Angle between given sides be θ = 70°

Substitute the value in the formula we get,

cos70° = [ (325)² +(120)² - a²] / 2(120)(325)

⇒ 0.3420 = [ 120025 - a²] / 78000

⇒ 120025 -a² = 26676

⇒ a² = 93349

⇒ a = 305.5

Total fencing required for  triangular field = AB + BC +CA

                                                                      = 120 + 325 + 305.5

                                                                      = 750.5 feet

Hence, farmer need 750.5 feet fencing for his triangular field.

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There are cows and turkeys at a farm, 82 heads and 264 legs in all. There is no need to explain that a cow has four legs, while a turkey has two legs. How many cows and turkeys are at the farm? How can I solve this using elimination or substitution can I have steps please. No spamming please

Answers

Cows have 4 legs and turkeys have 2 legs. They each only have one head.
Cows+turkeys=82
4 cow legs + 2 turkey legs = 264
C+T=82
-T. -T
—————
C= 82-T wherever you see a “C” substitute this formula

4C+ 2T=264
4(82-T)+ 2T=264
(82*4)- (4T+2T)= 264

328-2T=264
-328. -328
————————
-2T= -64

-2T/-2= -64/ -2

T=32 there are 32 turkeys
There are 82 heads total
If we know there are 32 turkeys then the rest have to be cows.
82-32=50
Hope this helps!

The equation of line r is y = –3/2 x + 5. Line s is parallel to line r. What is the slope of line s?

Answers

Answer:

-3/2

Step-by-step explanation:

Parallel lines have same slopes.

Identify whether the expressions are equivalent or not equivalent: 7y – 15 + 2y and 9y - 15

Answers

Answer:

Yes, the two expressions are equivalent

The given expression 7y - 15 + 2y and   9y - 15 are equivalent.  

What is equivalent expression?

Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same, even they look different.

According to the given question.

We have two expressions

[tex]7y - 15 + 2y ...(i)[/tex]

And, [tex]9y - 15 ...(ii)[/tex]

The expression (i) can be written as

[tex]7y - 15 + 2y[/tex]

[tex]=(7y + 2y)-15[/tex]            (adding the like terms)

[tex]= 9y -15[/tex]    

Hence, the given expression 7y - 15 + 2y and   9y - 15 are equivalent.    

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18% discount on a list price of $25

Answers

$4.50

Hope this helps!

Answer:

$20.50

Step-by-step explanation:

100% price - 18% discount = 82%.

82% can be written as .82

The original price was 25, so we multiply 25 by 0.82. We get $20.50.

If you are looking for the amount saved, subtract 20.5 from 25. We get $4.50.

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