Q. 286 How does the graph of a line wit... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 286 (page 496)

How does the graph of a line with slope $m = \frac{1}{2}$ differ from the graph of a line with slope $m = 2$ ?

Short Answer

Expert verified

The slope $m = \frac{1}{2}$ implies less steepness whereas $m = 2$ implies more steepness.

Step by step solution

Step 1. Given information

The given slopes are $m = \frac{1}{2}$ and $m = 2$ .

Step 2. Compare the rise and run

The first slope $m = \frac{1}{2}$ implies that there is a 1 unit rise for 2 unit run.
Thus, the triangle formed by the slant line and both the perpendicular sides are stretched horizontally and the slope implies less steepness.
The second slope $m = 2 = \frac{2}{1}$ implies that there is a 2 unit rise for 1 unit run.
Thus, the triangle formed by the slant line and both the perpendicular sides are stretched vertically and the slope implies more steepness.

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91影视

How does the graph of a line with slope $m = \frac{1}{2}$ differ from the graph of a line with slope $m = 2$ ?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Compare the rise and run

One App. One Place for Learning.

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91影视

How does the graph of a line with slope m=12differ from the graph of a line with slope m=2?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Compare the rise and run

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How does the graph of a line with slope $m = \frac{1}{2}$ differ from the graph of a line with slope $m = 2$ ?