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: 66

Answer

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

Work Step by Step

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

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.