Answer:
36. y=x
37. x=4
38. y=3x-10
39. y=-25x+49
40. 
41. y=-x+3
Step-by-step explanation:
36. Parallel lines have the same slope. The slope of the line
is
so the equation of a parallel line is

This line passes through the point (2,2), so its coordinates satisfy the equation:

and the equation of the line is 
37. The line
is vertical ine, so parallel line is also vertical line with equation
Substitute the coordinates of the point (4,3):

hence the equation is 
38. Parallel lines have the same slope. The slope of the line
is
so the equation of a parallel line is

This line passes through the point (2,-4), so its coordinates satisfy the equation:

and the equation of the line is 
39. Parallel lines have the same slope. The slope of the line
is
so the equation of a parallel line is

This line passes through the point (2,-1), so its coordinates satisfy the equation:

and the equation of the line is 
40. Perpendicular lines have slopes satisfying
Since the line
has the slope
perpendicular line has the slope 
The equation is

This line passes through the point (1,-5), so its coordinates satisfy the equation:

and the equation of the line is 
41. Perpendicular lines have slopes satisfying
Since the line
has the slope
perpendicular line has the slope 
The equation is

This line passes through the point (4,-1), so its coordinates satisfy the equation:

and the equation of the line is 