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In a coordinate plane, if line A has a slope of 2 and line B is parallel to line

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Question: In a coordinate plane, if line A has a slope of 2 and line B is parallel to line A, what is the slope of line B?

Options:

  1. 0
  2. 1
  3. 2
  4. Undefined

Correct Answer: 2

Solution: 

Parallel lines have the same slope. Therefore, if line A has a slope of 2, line B also has a slope of 2.

In a coordinate plane, if line A has a slope of 2 and line B is parallel to line

Practice Questions

Q1
In a coordinate plane, if line A has a slope of 2 and line B is parallel to line A, what is the slope of line B?
  1. 0
  2. 1
  3. 2
  4. Undefined

Questions & Step-by-Step Solutions

In a coordinate plane, if line A has a slope of 2 and line B is parallel to line A, what is the slope of line B?
  • Step 1: Understand what a slope is. The slope of a line tells us how steep the line is.
  • Step 2: Know that parallel lines are lines that never meet and have the same steepness.
  • Step 3: Identify the slope of line A, which is given as 2.
  • Step 4: Since line B is parallel to line A, it must have the same slope.
  • Step 5: Therefore, the slope of line B is also 2.
  • Slope of a Line – The slope of a line in a coordinate plane indicates its steepness and direction. Lines that are parallel have identical slopes.
  • Properties of Parallel Lines – Parallel lines never intersect and maintain the same slope throughout.
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