# Equations of Parallel and Perpendicular Lines - Page 5

Questions

- In geometry, the distance from a point to a line is defined to be the length of the perpendicular segment. What is the distance from a point to a segment defined as?
- A line passes through #(4 ,9 )# and #(8 ,3 )#. A second line passes through #(2 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- Which line is perpendicular to the line -2x + 3y = 12 ?
- A line passes through #(6 ,4 )# and #(9 ,2 )#. A second line passes through #(3 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(8 ,5 )# and #(6 ,4 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(5 ,6 )# and #(7 ,3 )#. A second line passes through #(2 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(6 ,2 )# and #(5 ,7 )#. A second line passes through #(3 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- What is the an equation of the line that goes through (−1, −3) and is perpendicular to the line #2x + 7y + 5 = 0#?
- A line passes through #(2 ,3 )# and #( 6, 2 )#. A second line passes through #( 7, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(3 ,2 )# and #(7 ,3 )#. A second line passes through #(1 , 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- Show that #16x^2+24xy+py^2+24x+18y-5=0# represents a pair of parallel straight lines and find the distance between them.?
- A line passes through #(2 ,8 )# and #( 3, 5 )#. A second line passes through #( 4, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(9 ,2 )# and #( 3, 5 )#. A second line passes through #( 4, 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(2 ,8 )# and #( 1, 5 )#. A second line passes through #( 6, 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(6 ,2 )# and #(1 ,3 )#. A second line passes through #( 7, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(4 ,7 )# and #(6 ,4 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(4 ,3 )# and #(2 ,9 )#. A second line passes through #(7 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- What is the slope-intercept form of the equation of the line through the point (-8, 7) and parallel to the line #x + y = 13#?
- A line passes through #(5 ,9 )# and #(8 ,3 )#. A second line passes through #(3 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- A line passes through #(4 ,1 )# and #(6 ,4 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?