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Math Asked by a SnapAndSolve user · about 2 hours ago

A line passes through the point (2,3) and (0,-2). What is the equation of the line that is perpendicular to...

3. A line passes through the point (2,3) and (0,-2).
What is the equation of the line that is perpendicular to this line and passes through the origin?
O y = -2/5x
O y = 5/2x
O y = 2/5x
O y = -5/2x

Answer

The slope of the line passing through (2,3) and (0,-2) is calculated as follows:

  1. Find the slope (m) of the original line: m = (3 - (-2)) / (2 - 0) = 5/2.
  2. The slope of a line perpendicular to another is the negative reciprocal of the original slope. Therefore, the perpendicular slope is -2/5.
  3. The equation of the line that is perpendicular and passes through the origin (0,0) is y = -2/5x.

Therefore, the correct answer is: y = -2/5x.

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