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Introduction to Coordinate geometry

The things you will learn to do: 1.   Determine the distance between two points  a.  for two points that lie on a horizontal line*  b.  for two points that lie on a vertical line*  c.  for two points that lie on an oblique line*     *note: The line does not necessarily need to be drawn in.

Coordinate of a point

Choose two random points, A and B, on the graph above. Write the coordinates of these points.

Length of a segment.

Find the length of the line segment AB.

Slope of a line segment

Calculate the slope of a line passing through points A and B.

Equation of a line

Write the equation of the line passing through A and B.

Slope of the line segments parallel to AB.

Calculate the slopes of line segments parallel to AB.

Midpoint of a segment

Calculate the coordinates of the midpoint of A and B.

Slope of the line segments perpendicular to AB.

Calculate the slopes of line segments perpendicular to AB.

Equation of perpendicular line

Write the equation of the line perpendicular to the line segment AB.