College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises: 48

Answer

x-intercept: $20$ y-intercept: $-8$

Work Step by Step

RECALL: (1) A point where the graph touches or crosses the x-axis is called an x-intercept. Given an equation, the x-intercept/s can be found by setting $y=0$ then solving for $x$. (2) A point where the graph touches or crosses the y-axis is called a y-intercept. Given an equation, the y-intercept/s can be found by setting $x=0$ then solving for $y$. Solve for the x-intercept/s by setting $y=0$ then solving for $x$: $\begin{array}{ccc} &2x-5y &= &40 \\&2x-5(0) &= &40 \\&2x &= &40 \\&\dfrac{2x}{2} &= &\dfrac{40}{2} \\&x &= &20 \end{array}$ The x-intercept is $20$. Solve for the y-intercept/s by setting $x=0$ then solving for $y$: $\begin{array}{ccc} &2x-5y &= &40 \\&2(0)-5y &= &40 \\&-5y &= &40 \\&\dfrac{-5y}{-5} &= &\dfrac{40}{-5} \\&y &= &-8 \end{array}$ The y-intercept is $-8$.
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