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Chapter 4: Q. 286 (page 496)

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

Short Answer

Expert verified

The slope m=12implies less steepness whereas m=2implies more steepness.

Step by step solution

01

Step 1. Given information

The given slopes arem=12andm=2.

02

Step 2. Compare the rise and run

  • The first slope m=12implies 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=21implies 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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