Question

Find the midpoint PQ. then write an equation of the line that passes through the midpoint and is perpendicular to PQ

P(-4,3), Q(4,-1)

Answer 1

Directions: Evaluate Letter #1 and Letter #2 using the Business Letter of Complaint Rubric below. You need to be able explain your reasoning, so judge carefully!

Hint 1

4

3

2

1

Structure and Format

· The letter includes all requirements for a complaint letter.

· Business letter format is followed exactly.

· The letter includes most requirements for a complaint letter.

· The majority of the formatting is in business style.

· The letter includes some requirements for a business letter.

· Formatting is inconsistent.

· Very few requirements of a business letter are met.

· Correct formatting is absent.

Content

· An introduction, reason for writing, and desired action are clear.

· Quality details give the reader important information to allow for taking appropriate action.

· The likelihood of a positive result is high.

· An introduction and reason for writing are included.

· Supporting details are present but may be lacking one key element or issue.

· A positive result is probable.

· An introduction and reason for writing may be unclear.

· Supporting details and information are included but several key issues or details are missing.

· A response is possible, but unlikely.

· An introduction and reason for writing are unclear or missing.

· Supporting details are missing, unclear, or unrelated to the topic.

· The reader is not able to respond to this letter.

Tone

· The problem and request are presented in a constructive manner with appropriate tone and vocabulary.

· The request and time allotted are reasonable.

· The problem and request are generally stated with an appropriate vocabulary and tone.

· The letter may occasionally lapse into a more negative tone.

· The request and time allotted are reasonable.

· The tone or reasonableness of the request is inappropriate.

· The vocabulary may occasionally be poorly chosen or inappropriate.

· The tone and vocabulary are threatening, sarcastic, or otherwise negative.

· The request is unreasonable, unclear, or missing.

Conventions

· The writing flows well and is free of errors.

· The writing is clear and complete.

· A few minor errors may be present, but none inhibit understanding.

· Most of the writing is clear and complete.

· Errors in grammar, punctuation, and spelling may begin to distract the reader.

· The writing contains so many errors in grammar, punctuation, and spelling that the reader is unlikely to be able to interpret the message.

Explanation:

Answer 2

Explanation:

Midpoint = (x₁+x₂/2, y₁+y₂/2)

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

= (0/2 , 2/2) = (0, 1)

Slope of PQ = y₂-y₁/x₂-x₁

= -1-3/4-[-4]

m₁ = -4/ 4+4 = -4/8 = -1/2

The required line is perpendicular to PQ

so slope of the required line be m₂

m₁*m₂ = -1

-1/2*m₂ = -1

m₂ = -1 *2/-1 = 2

Slope m₂= 2 and it passes through midpoint (0, 1)

y - y₁ = m (x -x₁)

y - 1 = 2 *(x - 0)

y -1 = 2x

y = 2x + 1