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Slope and the \(y\)-Intercept

Source: Birds on a Wire - shaunl/iStock/Getty Images

The Variables \(x\) and \(y\)

The Variables \(x\) and \(y\)

Sources: Equation on Chalkboard - flytosky11/iStock/Getty Images;
Horizontal and Vertical Axis Labels - flytosky11/iStock/Getty Images

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Lesson Goals

  • Define the terms \(y\)-intercept and slope.
  • Identify or calculate the \(y\)-intercept and slope of a linear relation given a graph, table of values, or an equation.
  • Explore linear families.

Try This!

How might you group the following linear relations?

  1. \(x\) \(y\)
    \(-2\) \(-6\)
    \(-1\) \(-1\)
    \(0\) \(4\)
    \(1\) \(9\)
    \(2\) \(14\)
  2. \(y=-2x\)
  3. \(x\) \(y\)
    \(-2\) \(14\)
    \(-1\) \(12\)
    \(0\) \(10\)
    \(1\) \(8\)
    \(2\) \(6\)
  1. A straight line is drawn through the points (negative 5, 5) and (0, negative 5)
  2. \(y=2x+4\)
  3. A straight line is drawn through the points (0, 4) and (2, negative 2)