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Find the equation of the line that passes through the origin and has a slope of

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Question: Find the equation of the line that passes through the origin and has a slope of -2.

Options:

  1. y = -2x
  2. y = 2x
  3. y = -x
  4. y = x

Correct Answer: y = -2x

Solution: 

Using the slope-intercept form: y = mx + b, where b = 0, we have y = -2x.

Find the equation of the line that passes through the origin and has a slope of

Practice Questions

Q1
Find the equation of the line that passes through the origin and has a slope of -2.
  1. y = -2x
  2. y = 2x
  3. y = -x
  4. y = x

Questions & Step-by-Step Solutions

Find the equation of the line that passes through the origin and has a slope of -2.
  • Step 1: Understand that the equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
  • Step 2: Identify the slope given in the question, which is -2.
  • Step 3: Since the line passes through the origin, the y-intercept (b) is 0.
  • Step 4: Substitute the slope (-2) and the y-intercept (0) into the equation: y = -2x + 0.
  • Step 5: Simplify the equation to get y = -2x.
  • Slope-Intercept Form – The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.
  • Understanding Slope – The slope indicates the steepness and direction of the line; a negative slope means the line descends from left to right.
  • Intercepts – The y-intercept (b) is the point where the line crosses the y-axis; in this case, it is 0 since the line passes through the origin.
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