Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Appendix A - Appendix A Exercises - Page 1158: 40

Answer

$$y = 3$$

Work Step by Step

$$\eqalign{ & \ell {\text{ is parallel to the }}x{\text{ - axis}}{\text{, then the line }}\ell {\text{ has the same slope}} \cr & {\text{that the }}x{\text{ - axis}}{\text{, the slope of the }}x{\text{ - axis is }}0 \cr & m = 0 \cr & {\text{The line passes through the point }}\underbrace {\left( {2,3} \right)}_{\left( {{x_1},{y_1}} \right)} \cr & {\text{Use the point - slope form of the equation of a line}} \cr & y - {y_1} = m\left( {x - {x_1}} \right) \cr & y - 3 = 0\left( {x - 3} \right) \cr & y - 3 = 0 \cr & y = 3 \cr} $$
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