Answer:
10) The equation of a line parallel to
passing through the coordinate (2,6) is 
11) The equation of a line perpendicular to
passing through the coordinate (2,6) is 
12) The equation of a line parallel to
passing through the coordinate (-2,3) is 
13) The equation of a line perpendicular to
passing through the coordinate (-2,3) is 
Step-by-step explanation:
For any line parallel to X-axis the equation we have

where a is the y coordinate.
∴ The equation of a line parallel to
passing through the coordinate (2,6) is 
For any line parallel to Y-axis the equation we have

Where b is the x coordinate.
∴ The equation of a line parallel to
passing through the coordinate (-2,3) is
For any line perpendicular to X-axis is parallel to Y axis therefore the equation we have

∴ The equation of a line perpendicular to
passing through the coordinate (2,6) is 
For any line perpendicular to Y-axis is parallel to X axis therefore the equation we have

∴ The equation of a line perpendicular to
passing through the coordinate (-2,3) is 