9. (a) A plane contains the point (1, -2,7), it is parallel to the y-axis and the x-slope is -5. Find the equation of this plane. (b) We move a point across the plane. The x-coordinate is increased by 2 units and the y-coordinate is decreased by 3 units. How does the z-coordinate need to change for the point to remain on the plane?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 31E
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19. (a) A plane contains the point (1, -2, 7), it is parallel to the y-axis and the x-slope is -5. Find the
equation of this plane.
(b) We move a point across the plane. The x-coordinate is increased by 2 units and the y-coordinate
is decreased by 3 units. How does the z-coordinate need to change for the point to remain on
the plane?
Transcribed Image Text:19. (a) A plane contains the point (1, -2, 7), it is parallel to the y-axis and the x-slope is -5. Find the equation of this plane. (b) We move a point across the plane. The x-coordinate is increased by 2 units and the y-coordinate is decreased by 3 units. How does the z-coordinate need to change for the point to remain on the plane?
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