Example

Determining the Most Convenient Method to Graph 3x+2y=123x + 2y = 12, y=4y = 4, y=15x4y = \frac{1}{5}x - 4, and x=7x = -7

To select the most efficient method for graphing various lines, we inspect their equation forms:

  • The equation 3x+2y=123x + 2y = 12 is in standard form (Ax+By=CAx + By = C), making the intercept method the most convenient choice.
  • The equation y=4y = 4 features solely the variable yy, which means it graphs as a horizontal line.
  • The equation y=15x4y = \frac{1}{5}x - 4 is written in slope-intercept form (y=mx+by = mx + b), so using the slope and y-intercept directly is best.
  • The equation x=7x = -7 contains only the variable xx, indicating its graph is a vertical line.

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Updated 2026-05-03

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