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In a coordinate plane, if line A has the equation y = 2x + 3 and line B is paral

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

Options:

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

Correct Answer: 2

Solution: 

Parallel lines have the same slope. Therefore, the slope of line B is also 2.

In a coordinate plane, if line A has the equation y = 2x + 3 and line B is paral

Practice Questions

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

Questions & Step-by-Step Solutions

In a coordinate plane, if line A has the equation y = 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 = 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, find the slope, which is 2 (the coefficient of x).
  • Step 4: Remember that parallel lines have the same slope.
  • Step 5: Conclude that since line B is parallel to line A, it must also have the same slope of 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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