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Parallel and perpendicular lines in the coordinate system.

Construct a line that is parallel to the given line f through point A. Find the slope of both lines. Move the slider to find the pattern between the slopes.

The two lines are parallel. How do their slopes compare?

Use the slider to set the slope of line f to 0.2. Find the equations of both lines.

Construct a line perpendicular to the given line f through the given point A. Calculate the slopes of both lines. Multiply the slopes. Move the slider to see if there is a pattern between the slopes.

If two lines are perpendicular, how to their slopes compare?

Set the slope of line f to 0.5. Find the equations of both lines.