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In a coordinate system, if line A has the equation y = -1/2x + 3 and line B is p

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Question: In a coordinate system, if line A has the equation y = -1/2x + 3 and line B is parallel to line A, what is the slope of line B?

Options:

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

Correct Answer: -1/2

Solution: 

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

In a coordinate system, if line A has the equation y = -1/2x + 3 and line B is p

Practice Questions

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

Questions & Step-by-Step Solutions

In a coordinate system, if line A has the equation y = -1/2x + 3 and line B is parallel to line A, what is the slope of line B?
  • Step 1: Identify the equation of line A, which is y = -1/2x + 3.
  • Step 2: Understand that the slope of a line in the equation y = mx + b is represented by 'm'.
  • Step 3: From the equation of line A, the slope (m) is -1/2.
  • Step 4: Remember that parallel lines have the same slope.
  • Step 5: Since line B is parallel to line A, it will have the same slope as line A.
  • Step 6: Therefore, the slope of line B 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'.
  • Parallel Lines – Parallel lines have identical slopes, meaning they never intersect.
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