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 - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2: 65

Answer

To find the x-intercept of a linear equation, set $y=0$, and then solve for the value of $x$.

Work Step by Step

The x-intercept of a linear equation is the point on the x-axis where the line crosses. Note that all points on the x-axis have a y-coordinate of $0$. Thus, to find the x-intercept of a linear equation, set $y=0$, and then solve for the value of $x$. Example: To find the x-intercept of $y=2x-4$, set $y=0$, and then solve for $x$ to obtain: $y=2x-4 \\0 = 2x-4 \\0+4=2x \\4=2x \\\frac{4}{2}=x \\2=x$ Thus, the x-intercept is $2$.
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