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In a coordinate plane, if line A has the equation y = -1/2x + 4, what is the slo

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Question: In a coordinate plane, if line A has the equation y = -1/2x + 4, what is the slope of a line parallel to line A?

Options:

  1. -1/2
  2. 1/2
  3. 2
  4. 4

Correct Answer: -1/2

Solution: 

Parallel lines have the same slope, so the slope of the parallel line is -1/2.

In a coordinate plane, if line A has the equation y = -1/2x + 4, what is the slo

Practice Questions

Q1
In a coordinate plane, if line A has the equation y = -1/2x + 4, what is the slope of a line parallel to line A?
  1. -1/2
  2. 1/2
  3. 2
  4. 4

Questions & Step-by-Step Solutions

In a coordinate plane, if line A has the equation y = -1/2x + 4, what is the slope of a line parallel to line A?
  • Step 1: Identify the equation of line A, which is y = -1/2x + 4.
  • Step 2: Understand that the slope of a line in the form y = mx + b is represented by 'm'.
  • Step 3: In the equation y = -1/2x + 4, the slope (m) is -1/2.
  • Step 4: Remember that parallel lines have the same slope.
  • Step 5: Therefore, the slope of a line parallel to line A is also -1/2.
  • Slope of a Line – The slope of a line in the slope-intercept form (y = mx + b) is represented by 'm'.
  • Properties of Parallel Lines – Parallel lines have identical slopes, meaning they never intersect.
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