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: 69

Answer

A line may be graphed using its slope and y-intercept. To do this, perform the following steps: (1) Plot the line's y-intercept. (2) From the y-intercept, plot another point by using the slope (rise over run). (3) Connect the two points using a line.

Work Step by Step

A line may be graphed using its slope and y-intercept. To do this, perform the following steps: (1) Plot the line's y-intercept. (2) From the y-intercept, plot another point by using the slope (rise over run). (3) Connect the two points using a line. To illustrate the two stops above, consider the equation $y=4x - 2$. This line has a slope of $4$ or $\frac{4}{1}$ and a y-intercept of $-2$. (1) Plot the y-intercept point $(0, -2)$. (2) The slope is $4= \frac{4}{1}$, so the rise is 4 and the run is 1. From the y-intercept $(0, -2)$, move up 4 units (the rise) and 1 unit to the right (the run). These movements lead to the point $(1, 2)$. (3) Connect the points using a line to complete the graph.
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