Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - Chapter Summary, Review, and Test - Review Exercises - Page 481: 28

Answer

(a) Slope-intercept form is,\[y=mx+b\], where \[m\] is the slope and \[b\]is the \[y\]-intercept. Consider the provided equation, \[2x+y=0\] The equation in the form of \[y=mx+b\] can be written as, \[\begin{align} & y=0-2x \\ & =-2x \end{align}\] Hence, the equation in slope-intercept is,\[y=-2x\]. (b) Consider the given equation,\[2x+y=0\]. The slope intercept form of the provided equation is, \[y=-2x+0\] Compare it with \[y=mx+b\] gives, \[m=-2\]and\[b=0\] Hence, the slope of the equation is,\[-2\]and the\[y\]-intercept is,\[0\].

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