Consider the points A(-2,4), B(4,6), and C(2,-6). (i) Find the equation of the line which passes through point C and is perpendicular to line AB. Express your equation in y= mx + b form. (ii) Determine whether triangle ABC is a right triangle (or not). Explain your reasoning. (iii) Find the equation of the circle for which segment AB is a diameter.

Consider the points A(-2,4), B(4,6), and C(2,-6). (i) Find the equation of the line which passes through point C and is perpendicular to line AB. Express your equation in y= mx + b form. (ii) Determine whether triangle ABC is a right triangle (or not). Explain your reasoning. (iii) Find the equation of the circle for which segment AB is a diameter.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.4: Writing And Graphing Equations Of Lines

Problem 77E: Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the...

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