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In a coordinate plane, if line L1 has the equation y = 2x + 3 and line L2 is par

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Question: In a coordinate plane, if line L1 has the equation y = 2x + 3 and line L2 is parallel to L1, what is the slope of line L2?

Options:

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

Correct Answer: 2

Solution: 

Parallel lines have the same slope. The slope of line L1 is 2, so the slope of line L2 is also 2.

In a coordinate plane, if line L1 has the equation y = 2x + 3 and line L2 is par

Practice Questions

Q1
In a coordinate plane, if line L1 has the equation y = 2x + 3 and line L2 is parallel to L1, what is the slope of line L2?
  1. 2
  2. 3
  3. 1/2
  4. -2

Questions & Step-by-Step Solutions

In a coordinate plane, if line L1 has the equation y = 2x + 3 and line L2 is parallel to L1, what is the slope of line L2?
  • Step 1: Identify the equation of line L1, which is y = 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 y = 2x + 3, identify the slope (m) of line L1, which is 2.
  • Step 4: Know that parallel lines have the same slope.
  • Step 5: Since line L2 is parallel to line L1, it will have the same slope as line L1.
  • Step 6: Therefore, the slope of line L2 is also 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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