Writing Parallel and Perpendicular Equations

Parallel

Determine whether the lines made by these points are parallel, perpendicular or neither. Line 1: A(-5,17) & B(8,-9) Line 2: C(6,-1) & D (4,3)

Neither

Determine whether the lines made by these points are parallel, perpendicular or neither. Line 1: A(-6,3) & B(1,1) Line 2: C(3,9) & D (7,2)

Perpendicular

Determine whether the lines made by these points are parallel, perpendicular or neither. Line 1: A(4,1) & B(5,2) Line 2: C(4,2) & D (5,1)

3, -2/3, 5/2

Identify the slopes of each of these lines: y = 3x - 4, y = -2/3x + 6, y = 5/2x -2

-1/3, -6, 3/4

Identify the slopes of the lines and write the perpendicular slopes to them. y = 3x - 8, y = 1/6x + 2, y = -4/3x + 7

y = #

The equation for a horizontal line is __________

x = #

The equation for a vertical line is ____________

zero

The slope of a horizontal line is always _________

undefined

The slope of a vertical line is always __________

the same

The slopes of parallel lines are _________

Opposite reciprocals

The slopes of perpendicular lines are ___________

-3/8

What is the slope of a line parallel to the line 3x + 8y = 17.

-5/4

What is the slope of a line perpendicular to the line 4x - 5y = -18

y = -7/4 x + 1

Write the equation of a line that is the perpendicular bisector of segment AB. A(3,12) and B(-11, 4).

y = -9/5 x -4

Write the equation of a line that passes through (-5,5) and is perpendicular to y = 5/9 x - 4

y = 3x - 10

Write the equation of a line that passes through (2,-4) and is parallel to y = 3x + 2

y = 4x - 12

Write the equation of a line that passes through (2,-4) and is parallel to y = 4x - 6

y = 7/3 x -4

Write the equation of a line that passes through (3,3) and is perpendicular to y = -3/7 x - 5

y = 5x - 13

Write the equation of a line that passes through (4,7) and is parallel to y = 5x +3

y = 1/3 x + 6

Write the equation of a line that passes through (-6,4) and is perpendicular to y = -3x +5

y = 9/2 x + 37/2

Write the equation of a line that passes through the point (-3, 5) and is perpendicular to the line 2x + 9y = 11

y = -2/9 x + 56/9

Write the equation of a line that passes through the point (1, 6) and is parallel to the line 2x + 9y = 11

y = 5/8 x + 33

Write the equation of a line that passes through the points (-24, 18) and (0, 33)

y = 5x -22

Write the equation of a line that that passes through (3, -7) and is perpendicular to the line y = -1/5 x + 1

y = -23x - 55

Write the equation of the perpendicular bisector of segment PQ. P(-14, 2) and Q(9, 3)