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What is the y-intercept of the line described by the equation y = x - 3?

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Problem

What is the y-intercept of the line described by the equation y = x - 3?

Step-by-step solution

The y-intercept is the value of y when x = 0. Substituting x = 0 into the equation y = x - 3 gives y = 0 - 3 = -3. Thus, the y-intercept is (0, -3).

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Answer

(0, -3)

Worksheet preview

Four practice prompts on the first page, with answers and short solutions on the second page.

  1. 1 What is the y-intercept of the line described by the equation y = x - 3?
  2. 2 What is the y-intercept of the line described by the equation y = 2x + 1?
  3. 3 What is the y-intercept of the line described by the equation y = -3x + 1?
  4. 4 What is the y-intercept of the line described by the equation y = 5x + 4?