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In a coordinate system, if line 1 has the equation y = -3x + 4 and line 2 is par

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Question: In a coordinate system, if line 1 has the equation y = -3x + 4 and line 2 is parallel to it, what is the slope of line 2?

Options:

  1. -3
  2. 3
  3. 1/3
  4. 0

Correct Answer: -3

Solution: 

Parallel lines have the same slope. The slope of line 1 is -3, so the slope of line 2 is also -3.

In a coordinate system, if line 1 has the equation y = -3x + 4 and line 2 is par

Practice Questions

Q1
In a coordinate system, if line 1 has the equation y = -3x + 4 and line 2 is parallel to it, what is the slope of line 2?
  1. -3
  2. 3
  3. 1/3
  4. 0

Questions & Step-by-Step Solutions

In a coordinate system, if line 1 has the equation y = -3x + 4 and line 2 is parallel to it, what is the slope of line 2?
  • Step 1: Identify the equation of line 1, which is y = -3x + 4.
  • Step 2: Recognize that the slope of a line in the equation y = mx + b is represented by 'm'.
  • Step 3: From the equation y = -3x + 4, identify the slope (m) of line 1, which is -3.
  • Step 4: Understand that parallel lines have the same slope.
  • Step 5: Conclude that since line 2 is parallel to line 1, it must have the same slope of -3.
  • 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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