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 - Concept and Vocabulary Check - Page 460: 6

Answer

$(0, 3)$; $2$; $5$

Work Step by Step

The line has a slope of $\frac{2}{5}$ and a y-intercept of $5$. To graph the line $y=\frac{2}{5}x + 5$, perform the following steps: (1) Plot the y-intercept $(0, 3)$. (2) From the y-intercept $(0, 3)$, move 2 units up (the rise), and then move 5 units to the right (the run). These movements lead to the point $(5, 5)$. (3) Connect the points $(0, 3)$ and $(5, 5)$ using a line. Thus, the missing expressions in the given statement are: $(0, 3)$; $2$; $5$
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