Determine if the pair of lines are parallel perpendicular or intersecting

Answer:

1. y= 2/3x + 4, and y = 2/3x - 1 are parallel

2. y = 1/3x - 3  and y = 2x + 5 are perpendicular

3. y =2/5x +4 and y = 0.2x - 1 are intersecting

4. y = -x + 13 and y = x-14 are perpendicular

Step-by-step explanation:

The equation of lines are solved and parallel lines are

a) y = 2/3x + 4 , y = ( 2/3 )x - 1

Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5

Intersecting lines

a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

y = 2/3x + 4 , y = ( 2/3 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 2/3

So , the slopes of the two lines are same and they are parallel lines

And , y = -( 1/2 )x - 3 , y = 2x + 5

The slopes are negative reciprocals of each other , so they are perpendicular lines

Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

Hence , the equation of line is solved

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Help and I’ll give brainliest

Polina the Polar Bear sat on an ice floe in the Arctic Ocean, north of Alaska. Polina was waiting for her mother, Bearnice, to return hwith some tasty seal blubber for lunch. Bearnice was hunting, waiting for seals to come up for air through holes in the ice, the same way Polar Bears have hunted in the winter for centuries. Except this year there was one big difference.

A lot more of the ice had melted last summer, and this winter it hadn’t refrozen as usual. A combination of warmer weather and changes in water and air currents was making the ocean warmer than anyone could remember, and Bearnice had to swim farther every day to find a good hunting spot.

As Polina waited for her mother to bring food back to her floe, the ice shrank bit by bit until she was sitting on very thin ice. As Polina waited helplessly, the furry white cub heard a deep voice coming from the direction of the sea.

“Hellooo little bear,” it said. Polina had never heard such a deep voice. She lifted her tired head to look out over the water, and was surprised that the voice seemed to come from a dark ice floe just offshore.

"No, wait!" It had a huge eyeball that was looking directly at her. It wasn’t an ice floe — it was the largest whale Polina had ever seen. It was also the first whale that had ever spoken to her.

“They call me Farswimmer,”said the whale, “because I travel all over the world, having adventures and learning new things. What brings you here alone, Polar Bear?” Farswimmer was very old, and he had seen many changes in his years of exploring the oceans. He certainly knew more about the world than most polar bears.

Farswimmer seemed like a nice whale, but Polina remembered Bearnice, her mother, and how she hadn’t come back from hunting.

Farswimmer blew a tall spout to distract Polina and stop her from crying.

When Polina told the whale her own story, he said, “I’m headed north anyway. You could ride on my back, and we can look for your mother. Are you ready for an adventure?” The next morning, Farswimmer and Polina charted their course and took off. Polina rode Farswimmer’s back and sometimes floated behind him, holding his tail. She also stood on his back and pretended she was surfing. It was a blast.

They took a break on an ice floe. Soon, they saw something in the distance that looked like another ice floe, but just to be sure, Farswimmer left Polina on the ice and swam to the floating object.

It wasn’t an object. It was an animal. Farswimmer used his fat nose to push the animal to Polina’s icy raft. When they got closer, Polina saw a familiar face.

“Mommy,” she yelped. Bearnice was very tired, but the sound of her cub’s voice made her happy. She opened her arms and the two embraced each other in a big bear hug.

Read the passage on the left to answer the following questions:
1)
What is the main conflict in this story?
A) Farswimmer cannot find Polina's mother.
B) Polina's mother is unable to find any seals to feed Polina.
C) Bearnice decides that she wants to let her daughter live alone.
D) The ice is melting around Polina, and her mother hasn't returned.
2)
Which statement best describes the relationship Polina the Polar Bear and the whale Farswimmer?
A) Polina is angry at Farswimmer for being so large and scary.
B) Farswimmer has no interest in helping Polina find her mother.
C) The whale Farswimmer is kind and helpful to frightened Polina.
D) Polina is in love with Farswimmer the whale and wants to run away with her.
3)
How is Farswimmer characterized in this story?
A) as an unhappy and mean whale
B) as a kind and wise old whale
C) as an indifferent, cruel creature
D) as a simple-minded, innocent creature
4)
Which BEST describes the characters in this story?
A) Farswimmer is old and Polina is young. They can both talk.
B) Farswimmer and Beatrice are both old. They can both talk.
C) Farswimmer and Polina are both young and can both talk.
D) All three are young and can talk.
5)
What is the setting of this story?
A) a warm Mediterranean sea
B) the endless ice of Antarctica
C) an Eskimo village in the snow

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8

Factor 72x−18xy
Find the Factor of 72x-18xy

Factor the following expression completely 16x^2-49

Which expression is equivalent to 12a + 8?
0 4(3a + 2)
04(3a + 8)
06(6a + 2)
06(6a + 8)

PLEASE help me thanks...

What is the value of s ?
Please help
No guessing

How much interest is earned in two years in a investment of 2,000 and the interest rate is 3%

Plz help! Will give brainliest!

Mr. Hudson's bill when taking his family to a restaurant for dinner was $65. He used a discount card for 15% off and left a 20% tip on the original amount of the bill. Complete the statements to determine how much Mr. Hudson spent at the restaurant. The amount of Mr. Hudson's bill after the 15% discount was $ . Mr. Hudson left $ for a tip. Mr. Hudson spent $ at the restaurant.

Help please!

These are Edward's calculations for his net worth: Net Worth = $400 - $500 = -$100. What does the negative net worth mean?

A)His liabilities are greater than his assets
B) His assets and liabilities are the same
C) His assets are greater than his liabilities
D) His assets and liabilities do not affect each other.
​

I need help on this problem!

I need help asap
Less then 5 minutes

Can someone help me on this real quick PLZZZZZZZZZZZzz

-2 (3.1) find the product

also please explain
m=?
b=?
equation=?

Find the missing values in the ratio table.
for every 81 girls, there are 72 boys

Probability 1 There is a chance of a spinner landing on blue. Which statement is true? A lis unlikely that the spinner lands on blue. B. It is likely that the spinner lands on blue. C. It is impossible for the spinner to land on blue. D. It is certain that the spingerlands on blue.​

Solve the inequality − 3 x + 6 > 15

what are three types of transformations of linear functions?
PLEASE HELP

i don't how to do this problem 2(x−2)−4x−5= 29

what is the scale factor

Alamo Cola manufactures a soft drink made with 2.5% peach juice concentrate. What is this percent expressed as a fraction and decimal?

A) 1/4 and 0.025

B) 1/4 and 0.0025

C) 1/40 and 0.025

D) 1/400 and 0.0025

Aubree mowed 12 lawns in 10 hours. What was her rate of mowing in hours per
Lawn?

Tareq pays $22.10 for 2.6 pounds of salmon. What is the price per pound of the salmon?

How many 2/3 -cup servings are in 6 cups of cereal?

If the cost of a barrel of oil is $50.00, how much is the cost of one gallon of that oil? (One barrel of fuel oil contains 42 gallons.)

what is the surface area of this rectangular rectangular prism (pic attached)​

A peach pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice of pie that contained exactly 5 peaches, what wqs the angle measure of the slice to the nearest tenth of a degree?