How many real solutions exist for this system of equations?
1 answer:
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Vertical angles are congruent
The points lying on a vertical line share the same coordinate. Similarly, the points lying on a horizontal line share the same
coordinate.
So, vertical lines are identified by the coordinate of their points, and have an equation like
, where
is a fixed real number.
Similarly, horizontal lines are identified by the coordinate of their points, and have an equation like
, where
is a fixed real number.
We are ready to answer the questions:
- A vertical line passing through the point (2, -4) has equation
- A horizontal line passing through the point (2, -4) has equation
- The two lines are perpendicular