Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Appendices - Section A.3 - Lines, Circles, and Parabolas - Exercises A.3 - Page AP-17: 16

Answer

x-intercept: $\quad 4$ y-intercept: $\quad 3$ .
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Work Step by Step

The x-intercept is the value at which the graph crosses the x-axis (the y-coordinate is 0): $3x+4(0)=12$ $3x=12$ $x=4$ The y-intercept is the value at which the graph crosses the y-axis (the y-coordinate is 0): $3(0)+4y=12$ $4y=12$ $y=3$ Draw a line through $(4,0)$ and $(0,3).$
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