Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

Chapter 1 - Linear Functions - 1.3 Fundamentals of Graphing and Slope - 1.3 Exercises: 3

Answer

a. m = $\frac{5}{2}$ b. Increasing c. y-int = (0,-7.5) d. x-int = (3,0)

Work Step by Step

a. The line passes through the points (3,0) and (0,-7.5). The slope formula is: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ $m=\frac{-7.5 - 3}{0-3}$ $m = \frac{5}{2}$ b. The line is increasing as it starts in the negative quadrant and increases to the positive quadrant. c. The y-intercept is the point at which the line cuts the y-axis. Looking at the graph, the y-intercept is (0,-7.5). d. The x-intercept is the point at which the line cuts the x-axis. Looking at the graph, the x-intercept is (3,0).

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