Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-8 Graphing Absolute Value Functions - Practice and Problem-Solving Exercises - Page 350: 41


The x-intercept is $\frac{1}{2}$.

Work Step by Step

The x-intercept is defined as the value of $x$ when $y$ is $0$. To find the x-intercept for this line, we set $y = 0$: $0 = -4x + 2$ Subtract $2$ from each side to shift constants to one side of the equation: $-4x = -2$ Divide both sides by $-4$ to isolate $x$: $x = \frac{-2}{-4}$ Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is $-2$: $x = \frac{1}{2}$ The x-intercept is $\frac{1}{2}$.
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