A is the point (-3, 6) and B is the point (9, -10).
a) Find the equation of the line through A and B.
b) Show that the perpendicular bisector of the line AB is 3x-4y=17.
c) A circle passes through A and B and has its center on line x=15. Find the equation of this circle.
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Given:
Two points A and B where A = (-3,6) and B = (9, -10)
To find:
a) Equation of the line through A and B.
b) Prove that the perpendicular bisector of the line AB is 3x -4y = 17.
c) Equation of the circle
Solution:
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