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

Practice Questions

Q1
What is the equation of the line that passes through the origin and has a slope of -5?
  1. y = -5x
  2. y = 5x
  3. y = -x/5
  4. y = 5/x

Questions & Step-by-Step Solutions

What is the equation of the line that passes through the origin and has a slope of -5?
  • Step 1: Understand that the origin is the point (0, 0) on a graph.
  • Step 2: Know that the slope of a line tells us how steep the line is. A slope of -5 means that for every 1 unit you move to the right, the line goes down 5 units.
  • Step 3: Recall the formula for the equation of a line that passes through the origin, which is y = mx, where m is the slope.
  • Step 4: Substitute the given slope (-5) into the formula. So, it becomes y = -5x.
  • Step 5: Write down the final equation: y = -5x.
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