Which of the following lines is parallel to the line 4x - 5y + 10 = 0?

Practice Questions

Q1
Which of the following lines is parallel to the line 4x - 5y + 10 = 0?
  1. y = (4/5)x + 2
  2. y = (5/4)x - 1
  3. y = (4/5)x - 3
  4. y = (-5/4)x + 1

Questions & Step-by-Step Solutions

Which of the following lines is parallel to the line 4x - 5y + 10 = 0?
  • Step 1: Start with the given line equation: 4x - 5y + 10 = 0.
  • Step 2: Rearrange the equation to the slope-intercept form (y = mx + b).
  • Step 3: Move 4x and 10 to the other side: -5y = -4x - 10.
  • Step 4: Divide everything by -5 to solve for y: y = (4/5)x + 2.
  • Step 5: Identify the slope (m) of the line, which is 4/5.
  • Step 6: Remember that parallel lines have the same slope.
  • Step 7: Write the equation of a new line with the same slope (4/5) but a different y-intercept, for example: y = (4/5)x - 3.
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