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Choose the slope that is parallel to the following line: 4x - 5y = 10

Choose the slope that is parallel to the following line: 4x - 5y = 10

Answer

To find the slope of the line 4x - 5y = 10, we need to rewrite it in slope-intercept form (y = mx + b), where m is the slope.

  1. Start with the equation: 4x - 5y = 10
  2. Rearrange to solve for y: -5y = -4x + 10
  3. Divide every term by -5: y = (4/5)x - 2

The slope (m) is 4/5. Therefore, the slope that is parallel to the line is 4/5.

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