Question attached
write equation parallel to a given line
write equation of a line perpendicular to a given line

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

b) well because you get well