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3) The coordinates of point P are (-4, 6) and the coordinates of point Q are (5, 1). M is the midpoint of [PQ]. a) Find the coordinates of M. L, is the line which passes through P and Q. b) Find the gradient of L1. A new line, L2, is perpendicular to L and passes through M. c) Write down the gradient of L2. d) Write down the equation of L2 in the form y = mx + b.

3) The coordinates of point P are (-4, 6) and the coordinates of point Q are (5, 1). M is the midpoint of [PQ]. a) Find the coordinates of M. L, is the line which passes through P and Q. b) Find the gradient of L1. A new line, L2, is perpendicular to L and passes through M. c) Write down the gradient of L2. d) Write down the equation of L2 in the form y = mx + b.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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3) The coordinates of point P are (-4, 6) and the coordinates of point Q are (5, 1). M is the midpoint of [PQ]. a) Find the coordinates of M. L, is the line which passes through P and Q. b) Find the gradient of L1. A new line, L2, is perpendicular to L and passes through M. c) Write down the gradient of L2. d) Write down the equation of L2 in the form y = mx +b.
Transcribed Image Text:3) The coordinates of point P are (-4, 6) and the coordinates of point Q are (5, 1). M is the midpoint of [PQ]. a) Find the coordinates of M. L, is the line which passes through P and Q. b) Find the gradient of L1. A new line, L2, is perpendicular to L and passes through M. c) Write down the gradient of L2. d) Write down the equation of L2 in the form y = mx +b.
4) The number of weeks spent in a hospital by a sample of lung cancer patient during a course of chemotherapy treatment was recorded. The data is illustrated in the box – whisker diagram shown below. 10 20 30 40 number of treatment weeks a) For this data write down i) the maximum number of weeks spent during a course of treatment. ii) the upper quartile. ii) the median. Dr. Buckley interprets this box - whisker diagram and claims that the percentage of patients spending less than 13 weeks during a treatment is less than the percentage of those who spend more than 25 weeks. b) State whether Dr. Buckley's interpretation is correct. Justify your answer.
Transcribed Image Text:4) The number of weeks spent in a hospital by a sample of lung cancer patient during a course of chemotherapy treatment was recorded. The data is illustrated in the box – whisker diagram shown below. 10 20 30 40 number of treatment weeks a) For this data write down i) the maximum number of weeks spent during a course of treatment. ii) the upper quartile. ii) the median. Dr. Buckley interprets this box - whisker diagram and claims that the percentage of patients spending less than 13 weeks during a treatment is less than the percentage of those who spend more than 25 weeks. b) State whether Dr. Buckley's interpretation is correct. Justify your answer.
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