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Line Equations in Action

Explore characteristics of various linear equations to determine intercepts, slopes, and parallelism. Learn how to identify the steepest lines and those passing through the origin or specific points.

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Line Equations in Action

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  1. Which line will cross the y – axis at 6 ? y = 2x - 6 y = x + 6 y = 3x + 10

  2. 2. Which line has an intercept of minus 3. y = 3x - 2 y = 5x + 3 y = 4x - 3

  3. 3. Which line will be steepest? y = 5x - 6 y = x + 9 y = 3x + 14

  4. 4. Which line goes through the origin? y = 2x + 5 y = x + 1 y = 2x

  5. 5. Which line will be parallel to y = 3x – 4 ? y = 3x + 7 y = x – 4 y = 2x + 3

  6. 6. Which line crosses the y-axis in the same place as the line y = 3x + 2 y = 2x + 3 y = x + 2 y = 3x - 2

  7. 7. What is the gradient of the line y = 2x – 4 ? 2 - 4 5

  8. 8. Which of these lines will be steepest? y = 2x + 6 x + y = 8 y = 2 – 5x

  9. 9. Which line will be parallel to y = 4x – 2 ? y = 2 - x y = 2x - 4 y = 5 + 4x

  10. 10. Which of these lines has the smallest gradient? y = ½ x - 4 y = 3 - x y = 2x

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