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: 27

Answer

See below:

Work Step by Step

The general equation in slope-intercept form is: \[y=mx+c\] Where \[m\] is the slope and \[c\] is the\[y\text{-intercept}\]. Now, consider the provided equation which is in the slope-intercept form. \[y=\frac{1}{2}x+0\] The slope is \[\frac{1}{2}\] and \[y-\text{intercept}\]is\[0\]. Follow the following steps to plot the equation. Step 1: Plot the \[y-\text{intercept}\]on\[y-\text{axis}\], that is,\[\left( 0,0 \right)\]. Step 2: Write slope in a fraction, that is, \[\frac{1}{2}\]. Step 3: Plot the second point on the line passing through\[\left( 0,0 \right)\]. Now according to slope move 1 unit up and 2 unit right. The second point is\[\left( 2,1 \right)\]. The resulting graph is shown above.
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