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In a coordinate plane, if line y = 2x + 3 is parallel to another line, what is t

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Question: In a coordinate plane, if line y = 2x + 3 is parallel to another line, what is the slope of the parallel line?

Options:

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

Correct Answer: 2

Solution: 

Parallel lines have the same slope. The slope of the line y = 2x + 3 is 2, so the slope of the parallel line is also 2.

In a coordinate plane, if line y = 2x + 3 is parallel to another line, what is t

Practice Questions

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

Questions & Step-by-Step Solutions

In a coordinate plane, if line y = 2x + 3 is parallel to another line, what is the slope of the parallel line?
  • Step 1: Identify the equation of the given line, which is y = 2x + 3.
  • Step 2: Recognize that the equation is in the slope-intercept form, y = mx + b, where m is the slope.
  • Step 3: Find the slope (m) of the given line. In this case, the slope is 2.
  • Step 4: Understand that parallel lines have the same slope.
  • Step 5: Conclude that the slope of the parallel line 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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