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Home > CCA > Chapter 2 > Lesson 2.1.4 > Problem 2-42

2-42.

Without graphing, find the slope of each line described below. Homework Help ✎

  1. A line that goes through the points (4, 1) and (2, 5).

    Use a slope triangle or another method to determine the slope of the line.

    Another method is to first subtract the x-values and the y-values from each other.
    Δx: 4 − 2 = 2
    Δy: 1 − 5 = −4

    Substitute the differences into the slope formula.

  2. A line that goes through the origin and the point (10, 5).

    See part (a).

  3. A vertical line (one that travels “up and down”) that goes through the point (6, −5).

    Vertical lines have an undefined slope.

  4. A line that goes through the points (1, 6) and (10, 6).

  • See part (a).